Small hyperelliptic curves over Q

Michael Harrison has generated many hyperelliptic curves over the rationals of genus g=2,3,4,5 and product of prime divisors of the discriminant ≤100,000.

A few extracts from the tables:

Genus 2 discriminant up to 1,000
Genus 3 discriminant up to 30,000
Genus 4 discriminant up to 3,000,000
Genus 5 discriminant up to 300,000,000
Genus 2 bad only at one small prime
Genus 3 bad only at one small prime
Genus 4 bad only at one small prime
Genus 5 bad only at one small prime
Format of the data files

Genus 2 discriminant up to 1,000

|D|curve
169 = 132y2 + (x3+x2+1)y = x2+x
249 = 3·83y2 + (x3+1)y = -x5+x4-x3
277 = 277y2 + (x3+x2+x+1)y = -x2-x
y2 + y = -x5-9x4-14x3-19x2-11x-6
294 = 2·3·72y2 + (x3+1)y = x4+x2
295 = 5·59y2 + (x3+1)y = -x2
349 = 349y2 + (x3+x2+x+1)y = -x5-x3-x2-x
353 = 353y2 + (x3+x2+1)y = -x5+x4-x3
389 = 389y2 + (x3+x)y = -2x5+3x4+4x3-8x2-x
y2 + (x3+x2)y = x4+2x3+2x2+x
394 = 2·197y2 + (x3+x2)y = -4x5+15x4-19x3-3x2+x
448 = 26·7y2 + (x3+x)y = -2x4+7
y2 + (x3+x)y = x4-7
461 = 461y2 + (x3+x2+x+1)y = -2x4-3x3+2x2+2x-3
464 = 24·29y2 + (x3+x)y = -x5+x4-2x3+x2-x
512 = 29y2 + (x3+x2+x+1)y = -x4-x3-x2-x
523 = 523y2 + (x3+x2)y = -x3-x2+x
529 = 232y2 + (x3+x2+1)y = -x
576 = 26·32y2 + (x3+x2+x+1)y = -x3-x
587 = 587y2 + (x3+x+1)y = -x2-x
597 = 3·199y2 + x3y = -x5+2x4-3x3+2x2-x
603 = 32·67y2 + (x3+x)y = -2x5+4x4-4x3+8x2-x
y2 + (x3+x)y = -x5+x3-x
648 = 23·34y2 + (x3+x2+1)y = x4+2x3+2x2+x
686 = 2·73y2 + (x2+x)y = x5+x4+2x3+x2+x
691 = 691y2 + (x3+x2)y = -x4-x3+x
709 = 709y2 + x2y = x5-2x4+x
713 = 23·31y2 + (x3+x2+1)y = -x3+x
y2 + (x3+x2+1)y = -x5-x3-x2
743 = 743y2 + (x3+x+1)y = -x4+x2
745 = 5·149y2 + (x3+x+1)y = -x
763 = 7·109y2 + (x2+1)y = -x5+2x4-2x2
776 = 23·97y2 + (x3+x2+1)y = -x5+x3-2x2
797 = 797y2 + x3y = x3-x2+x
832 = 26·13y2 + (x3+x2)y = -x5-x4+2x3+x2-2x-1
841 = 292y2 + (x3+x2+x)y = x4+x3+3x2+x+2
847 = 7·112y2 + (x3+x2+x+1)y = -x5+x4-3x3+x2-x
862 = 2·431y2 + (x3+1)y = -x5-2x4+6x3+7x2-2x+5
y2 + (x3+x2)y = x5+2x4-x3-2x2+x
893 = 19·47y2 + (x3+x+1)y = -x4-x2
909 = 32·101y2 + (x3+x)y = -x4+x2-x
925 = 52·37y2 + (x+1)y = -x5+2x4-x3-x2
944 = 24·59y2 + (x3+x)y = -x5+2x3-x2-x
952 = 23·7·17y2 + (x3+1)y = 3x5+10x4+7x3+10x2+3x
953 = 953y2 + (x3+x2+1)y = -x5+x4-2x3
961 = 312y2 + (x3+x2+1)y = -x3-2x2-x-1
y2 + (x3+x2+1)y = -x6+2x5-9x4+12x3-17x2+10x-6
971 = 971y2 + x3y = x5-2x3+x
997 = 997y2 + (x3+x2)y = x2+x
y2 + x3y = -x4+2x3-2x2+x
y2 + xy = -x5-8x4-16x3+x

Genus 3 discriminant up to 30,000

|D|curve
10487 = 10487y2 + (x4+1)y = -x7+x6-x2
10704 = 24·3·223y2 + (x4+x3+x+1)y = -x7+x6-x5
11113 = 11113y2 + (x4+x3+1)y = -x7+x6-x5
11132 = 22·112·23y2 + (x4+x3+x+1)y = -x7+2x6-2x5+3x4+x3+2x2+x
11765 = 5·13·181y2 + (x4+x3+x+1)y = -x7-x5-x3-x2
12593 = 72·257y2 + (x4+x2+x+1)y = -x6-x4-x3-x2
13376 = 26·11·19y2 + (x4+1)y = x6+x4+x3+x2+x
13399 = 13399y2 + (x4+1)y = -x7+x6-x4
13555 = 5·2711y2 + (x4+x3+x2+x)y = -x7-2x5+x4-3x3+2x2-x
13872 = 24·3·172y2 + (x4+x3+x+1)y = -x4
14079 = 3·13·192y2 + (x4+x2+1)y = x5-x4+x3
14625 = 32·53·13y2 + (x4+x3+x2+x+1)y = -x5-x4-x3
15488 = 27·112y2 + (x4+1)y = -x7+x6-x4+x2+x
15856 = 24·991y2 + (x4+x2)y = x7+2x6+4x5+4x4+4x3+2x2+x
16031 = 17·23·41y2 + (x4+x3+x2+1)y = -x7-x5-x4-x3
16553 = 16553y2 + (x4+x3+1)y = x3+2x2+x
17273 = 23·751y2 + (x4+x3+x2+1)y = -x7-x6-x4-x2
17303 = 113·13y2 + (x4+x2)y = x7+2x6+4x5+5x4+5x3+3x2+x
17305 = 5·3461y2 + (x4+x2+1)y = -x7+x5-x4-x2
17545 = 5·112·29y2 + (x4+x2+1)y = -x6-x5+x3-x2
17607 = 3·5869y2 + (x4+x2+1)y = -x4+x3-x2
17705 = 5·3541y2 + (x4+x+1)y = -x7+x6-x4
17957 = 17957y2 + (x4+x3+1)y = -x7+x5-3x4+2x3-x2
18000 = 24·32·53y2 + (x4+x3+x+1)y = -x5-2x4-x
18032 = 24·72·23y2 + (x4+x3+x2+x+1)y = -x7-x6+x5-4x4+x3-x2-x
18157 = 67·271y2 + (x4+x+1)y = -x3-x2
18393 = 3·6131y2 + (x4+x2+1)y = -x7+x6-x5
18731 = 18731y2 + (x4+x3+x2+x)y = -x6-x5+x4+x3+x2+x
18839 = 18839y2 + (x4+1)y = x3
18871 = 113·167y2 + (x4+x3+1)y = -x7-x5+x4-x2
19008 = 26·33·11y2 + (x4+1)y = x7+2x6+3x5+2x4+2x3-1
19307 = 43·449y2 + (x4+x3)y = x5+x4-x3+x
19993 = 19993y2 + (x4+x3+1)y = -x7+x5-x4-x3
20117 = 20117y2 + (x3+x2+x+1)y = x7-3x6+x5+2x4-3x3-2x2
20535 = 3·5·372y2 + (x4+x2+1)y = -x6+x5-2x4+x3-x2
20649 = 3·6883y2 + (x4+x)y = -x6-2x5+2x3+2x2+x
21017 = 21017y2 + (x4+x2+x+1)y = -x6-x5-x4+x2-2
21927 = 3·7309y2 + (x4+x2+1)y = -x7+x6-2x5+x4-x3
22403 = 43·521y2 + (x4+x2+x)y = x6+3x4+x3+2x2+x
22507 = 71·317y2 + (x4+x3+x2+x+1)y = -x6-2x5-x4-x3-x2
22655 = 5·23·197y2 + (x4+x3+x2+1)y = -x7-x5-x4+x3-3x2+2x-1
23047 = 19·1213y2 + (x4+x3+x2+1)y = -2x7+x6+3x5-7x4-3x3+8x2+4x-1
23127 = 3·13·593y2 + (x4+x2+1)y = x7+x6+2x5+2x4+3x3+2x2+x
23353 = 112·193y2 + (x4+x2)y = -x7+x6-x5-x4+2x3-2x2+x
23501 = 71·331y2 + (x+1)y = -x7-2x6+2x4+x3-x2-x
23591 = 31·761y2 + (x4+x3+x2+1)y = -x7-x5-x3-x2
23625 = 33·53·7y2 + (x4+x+1)y = -x7+2x6-3x5+x4-x
23644 = 22·23·257y2 + (x4+x3+x2+1)y = -x7-2x5-x3
23701 = 137·173y2 + (x4+x3+1)y = -x7-x2
23812 = 22·5953y2 + (x4+x3+x+1)y = -x5-x4
23897 = 23·1039y2 + (x4+x2)y = -x7+2x5-2x4-x3+2x2+x
24055 = 5·17·283y2 + x4y = x7+3x6+5x5+7x4+6x3+4x2+x
24734 = 2·83·149y2 + (x3+x2+x)y = -x7+x6+x5+3x4+7x3+5x2+5x+3
24812 = 22·6203y2 + (x4+x3)y = x6+2x5+3x4+3x3+2x2+x
24851 = 24851y2 + (x4+x3+1)y = -x7-x5-x3+x2
25913 = 25913y2 + (x4+x3+1)y = x6+x5+x4+x2+x
26021 = 26021y2 + (x4+x3)y = -x6-2x5-x4+x2+x
26047 = 7·612y2 + (x4+x3+x2+x+1)y = -x6-2x5-2x4-2x3-x2
26615 = 5·5323y2 + (x4+x)y = -x6+x4-2x3-x2+x
26793 = 32·13·229y2 + (x4+x3+1)y = -x7-x5+x4-x3+x2
y2 + (x4+x3+x2+x+1)y = -x7-x6-x4-2x3-x
27584 = 26·431y2 + (x4+x2)y = -x6-x5+2x3-1
27671 = 7·59·67y2 + (x3+1)y = -x7+2x6-3x5+3x4-2x2
28033 = 172·97y2 + (x4+x3+x2+x+1)y = -x7-x6-x5-x3-x2
28352 = 26·443y2 + (x4+x2)y = 2x7+5x6+6x5+3x4+3x3-x
28387 = 28387y2 + (x4+x3+x2+x+1)y = x5+x4+x3+x2
28393 = 28393y2 + (x4+x3+1)y = -x7+x6-2x5+x4-2x3+x2
28713 = 3·17·563y2 + (x4+x2+1)y = x7+2x6+3x5+x4-x2
28865 = 5·23·251y2 + (x4+x3+x2+1)y = x7+x6-4x5-6x4+2x3+2x2+2x-2
28911 = 3·23·419y2 + (x4+x2+x)y = x7+2x6+4x5+5x4+4x3+2x2+x
29507 = 19·1553y2 + (x4+x+1)y = x7+2x6+3x5+3x4+4x3+2x2+x
29693 = 23·1291y2 + (x4+x3+x2+1)y = -x7-2x4+x3-x2
29921 = 29921y2 + (x4+x+1)y = -x7+x6-x5+x4-x3-x2
3993 = 3·113y2 + (x4+x2+1)y = x7+x6+x5+x3+x2+x
5911 = 23·257y2 + (x4+x2+x+1)y = -x7+x6-2x5-x3-x
7744 = 26·112y2 + (x4+1)y = x5-x4+x3
7967 = 31·257y2 + (x4+x2+x+1)y = -x7+x6-x5-x4-x3-x2
8907 = 3·2969y2 + (x4+x3+x+1)y = -x7-x5-2x3+x2-x
9449 = 11·859y2 + (x2+1)y = -x7-2x6-5x5-2x4-x3+4x2-2x

Genus 4 discriminant up to 3,000,000

|D|curve
1064000 = 26·53·7·19y2 + (x5+x2)y = x8+x7+x6+4x5+3x4+2x3+4x2+2x
1078976 = 26·23·733y2 + (x5+x4+x2)y = x8+2x7+2x6+4x5+2x4+2x3-1
1085415 = 3·5·2692y2 + (x5+x3+x2+1)y = x6-x5+x4
1187021 = 11·31·592y2 + (x5+x2+1)y = -x9+x8-3x5+x4+x3-x2
1209472 = 27·11·859y2 + (x5+x)y = -2x9+6x8-8x7+2x6+6x5-6x4-x3+3x2+x
1273536 = 26·33·11·67y2 + (x5+x4)y = -2x9+2x8+2x7-7x6+2x5+7x4-5x3-3x2+4x+2
1315818 = 2·33·7·592y2 + (x5+1)y = x8+2x6+2x4+x2
1349379 = 37·617y2 + (x5+x4+x2+x)y = -x9+x8-2x7-3x4+3x3-3x2+x
1401856 = 210·372y2 + (x5+x4+x+1)y = -x9+x8-x7+x6-x5+x4+x3+x2
1422125 = 53·31·367y2 + (x5+x3+x+1)y = -x9+2x8-4x7+4x6-4x5+2x4-2x3+x2-x
1457851 = 19·2772y2 + (x5+x4+x+1)y = -x9+x8-2x7+3x6-5x5+3x4-2x3+x2-x
1468987 = 13·173·23y2 + (x5+x4+x2)y = -x8-2x7+x6+3x5-x4-3x3+x
1480192 = 29·72·59y2 + (x5+x3+x2+1)y = -x9+x8-2x7+x6-2x5-x3
1487647 = 7·4612y2 + (x5+x4+x+1)y = x7+x6-x5+x4+x3
1508043 = 3·7092y2 + (x5+x3+x2+1)y = -x8+x6-3x5+x4-x2
1577581 = 832·229y2 + (x5+x4+x2+1)y = x6+x3
1577833 = 712·313y2 + (x5+x4+x+1)y = -x8-2x7+x5-2x4-2x3+x2-1
1590273 = 34·29·677y2 + (x5+x4+x3+x)y = -2x8-3x7+x6+2x5-3x4+3x2+x
1728848 = 24·112·19·47y2 + (x5+x3)y = -x8+x5-x4-x2+2x-1
1759808 = 26·31·887y2 + (x5+x4+x3+1)y = -2x9+2x8-2x7+x6-2x5-4x4+4x2+2x
1769472 = 216·33y2 + (x5+x4+x+1)y = x7+x3
1782272 = 29·592y2 + (x5+x3+x2+1)y = -x9+x8-3x7+2x6-x5+2x4+2x3+x2+x
1889113 = 192·5233y2 + (x5+x3+x+1)y = -x9+2x8-4x7+4x6-4x5+x4-x3-x
1893376 = 210·432y2 + (x5+x4+x+1)y = -2x6-2x5-2x4
y2 + (x5+x4+x+1)y = -x9-x7-x5+x3
1914550 = 2·52·11·592y2 + (x5+1)y = x9+2x8+3x7+3x6+3x5+3x4+3x3+2x2+x
1944000 = 26·35·53y2 + (x5+x3+x2+1)y = x9+3x6-2x5+3x4+x
1949587 = 832·283y2 + (x5+x4+x2+1)y = x9+3x8+3x7+3x6+4x5+2x4+x3+x2
1951961 = 11·292·211y2 + (x5+x4)y = x6+2x5+2x4+2x3+2x2+x
1993408 = 26·31147y2 + (x5+x4+x3+x2)y = -x9-x8-x6-x5-x4+x3+x2-1
2008640 = 26·5·6277y2 + (x5+x2)y = -x8+x6-x5-x3+2x-1
2059776 = 29·33·149y2 + (x5+x3+x2+1)y = -x7-x5-x4-x2
2126575 = 52·112·19·37y2 + (x5+x4+x2+1)y = -x9-2x6+x5-2x4+x3-x2
2152576 = 27·67·251y2 + (x5+x4+x3+1)y = x7+2x6+3x5+3x4+3x3+2x2+x
2170830 = 2·3·5·2692y2 + (x5+x4+x3+x2+x+1)y = x6-x5+x4
2190016 = 26·19·1801y2 + (x5+x2)y = -x9+2x7+x6-3x5-3x4+2x3+2x2-1
2269839 = 3·112·132·37y2 + (x5+x3+x+1)y = x9+x8+x7-x4-2x3-x2
2280259 = 832·331y2 + (x5+x3+x+1)y = -x9+2x8-4x7+3x6-3x5-x4-x2-x
2289465 = 34·5·5653y2 + (x5+x4+1)y = -x8-2x7+x5-2x4-3x3+x
2292269 = 73·41·163y2 + (x5+x+1)y = -x8+x6-x5-2x4-x
2387034 = 2·32·13·1012y2 + (x5+x4+x2+1)y = x8+x7+x6
2437184 = 26·113·337y2 + (x5+x2+x+1)y = -x9+2x8-3x7+2x6-2x5+x4-x3-x
2439625 = 53·29·673y2 + (x5+x4+x3+x2+x)y = -x6-x4+x3+x
2462976 = 28·32·1069y2 + (x5+x3+x)y = -x8-x7+2x5-x4-2x3+x
2509056 = 28·34·112y2 + (x5+x)y = -x8+x7+x6-x5-2x4+3x3-x2+x
2758848 = 26·3·14369y2 + (x5+x3+x2+1)y = -x8-x7-x6+x4+2x3+x2+x
2790656 = 28·11·991y2 + (x5+x3)y = -x9+2x8-4x7+4x6-3x5+2x3-3x2+2x-1
2829888 = 26·32·173y2 + (x5+x3+x2+1)y = -x9+2x8-3x7+2x6-x5+2x4+2x3+2x2+x
2862250 = 2·53·1072y2 + (x5+1)y = x7-x6+x5-x4+x3
2864886 = 2·3·6912y2 + (x5+x4+x3+x2+x+1)y = -x6-x5-x4
2892032 = 28·11·13·79y2 + (x5+x)y = -x9+x8+x7-3x6+2x4+x3-x2-x
2898918 = 2·32·115y2 + (x5+x4+x3+x2+x+1)y = -2x9+x8-x6-7x5-x4+x2-2x
2918144 = 28·11399y2 + (x5+x4+x+1)y = -x9-x6-x5-x3+x2-x
2942208 = 28·32·1277y2 + (x5+x3+x)y = -x9+x8-3x6+x5+2x4-2x3-x2+x
2955825 = 33·52·29·151y2 + (x5+x4+x2+x+1)y = -x9+x7-4x6+2x5-x4-2x3+x2-x
2969856 = 28·32·1289y2 + (x5+x4+x3+x2+x+1)y = -2x9+3x8-6x7+3x6-5x5+2x4-3x3+x2-x
2985433 = 113·2243y2 + x5y = -x8-x7+2x6+3x5-x4-3x3+x
327680 = 216·5y2 + (x5+x4+x+1)y = x8+x7+x6+x4+x3+x2
533952 = 26·34·103y2 + (x5+x3+x2+1)y = -x9+x8-2x7+x6-x5
553625 = 53·43·103y2 + (x5+x3+x+1)y = x9+x8+x7+x5+x4+x3+x2
640336 = 24·31·1291y2 + (x5+x2+x+1)y = x8-x7-2x5-x4-x3-x2
668352 = 26·3·592y2 + (x5+x3+x2+1)y = x6+x4
739328 = 211·192y2 + (x5+x3+x2+1)y = -x7-x6-x5-x4
754377 = 3·13·23·292y2 + (x5+x4+1)y = -x9+x7-x6
760001 = 113·571y2 + (x5+x4+x+1)y = -x9-x5-x4-x3
837081 = 33·7·43·103y2 + (x5+x4+x2+1)y = -x9-x7-x3-x2
846153 = 33·7·112·37y2 + (x5+x4+x3+x2+x)y = -2x9+4x8-11x7+14x6-18x5+13x4-9x3+3x2-x

Genus 5 discriminant up to 300,000,000

|D|curve
106188800 = 212·52·17·61y2 + (x6+x5+x3+x+1)y = -x11+x10-x9+x7-2x6-2x3-x2
106692608 = 218·11·37y2 + (x6+x4+x2+1)y = -x11+x10-x9-2x7+x6-x5-x3
116867625 = 3·53·7·2112y2 + (x6+x4+x3+x2+1)y = -x6
116985856 = 212·134y2 + (x6+x4+1)y = -x10-x6+x4-x2
y2 + (x6+x4+1)y = x4+x2
117875952 = 24·33·29·972y2 + (x6+x4+x3+x2+1)y = x7-x6+x5
123994112 = 218·11·43y2 + (x6+x4+x2+1)y = -x11+x10-x9-x8-x5-x4+x3-x2
142664448 = 28·3·4312y2 + (x6+1)y = x8+x7+x6+x5+x4
144306500 = 22·53·13·1492y2 + (x6+x4+x3+x2+1)y = x11+x10+x9+x8+x7+x5+x4+x3+x2+x
148635648 = 218·34·7y2 + (x6+x5+x3+x+1)y = -x6
151068137 = 112·17·2712y2 + (x6+x5+x4+x3+x2+x+1)y = -x8-2x7-2x6-2x5-x4
15391255 = 5·11·234y2 + (x6+x5+x4+x3+x2+x+1)y = -x9-2x8-3x7-3x6-3x5-2x4-x3
154992640 = 216·5·11·43y2 + (x6+x4+x2+1)y = -x11+x10-x9-x7-x6+2x5-2x4-2x3+x
157982352 = 24·3·11·5472y2 + (x6+x4+x3+x2+1)y = x7+x5
167931832 = 23·23·973y2 + (x6+x5+x4+x3+x2+x+1)y = -x9-2x8-3x7-2x6-x5-x3-x2
175511201 = 41·20692y2 + (x6+x5+x3+x+1)y = x8+x7+x5+x4
186094265 = 5·7·19·234y2 + (x6+x5+x3+x2+1)y = x11+3x10+2x9-2x8-3x7-2x6-2x5-x4+x2+x
197833833 = 39·19·232y2 + (x6+x3+1)y = x11+x10+2x8+2x7+2x5+2x4+x2+x
20832336 = 24·33·7·832y2 + (x6+x5+x+1)y = x10+x9+x8-x7-x6-x5+x4+x3+x2
213385216 = 219·11·37y2 + (x6+x4+x2+1)y = 2x11+6x10+11x9+10x8+8x7+7x6+7x5+2x4+2x3+x2
217002361 = 147312y2 + (x6+x4+x3+x+1)y = x11+2x10+3x9+3x8+x7+x6+x5+x4+x3+x2
221715009 = 33·192·232·43y2 + (x6+x5+x2+x+1)y = -x11+x9-2x8-2x5+x4-x3-x
22191375 = 3·53·17·592y2 + (x6+x4+x3+x2+1)y = -x8+x7-2x6+x5-x4
222272575 = 52·75·232y2 + (x6+x5+x4+x3+x2+x+1)y = -x8-x7-2x6-x5-x4
226062656 = 26·29·3492y2 + (x6+x4+x2+1)y = -x11+2x9-2x8-2x7+2x5-2x4-2x3+x
23589831 = 3·37·4612y2 + (x6+x5+x3+x+1)y = x8+x7-x6+x5+x4
238682112 = 217·3·607y2 + (x6+x5+x4+x2+x+1)y = -x10-2x9-2x8-x5-2x4+x2+x
240502743 = 33·13·23·313y2 + (x6+x5+x4+x3+x2+x+1)y = -x10-2x9-x8-2x6-2x5-x3-x2
249670193 = 294·353y2 + (x6+x4+x3+x2+1)y = -x11+x10-x9-x8-x7-x4+x2+x
25153537 = 73·5872y2 + (x6+x3+1)y = x11+2x10+2x9+2x8+x7+x5+2x4+2x3+2x2+x
253956096 = 212·32·832y2 + (x6+1)y = -x6+x4-x2
y2 + (x6+1)y = x4+x2
y2 + (x6+x5+x3+x+1)y = -x11-x9-x6-2x5-x
25804800 = 214·32·52·7y2 + (x6+x5+x3+x+1)y = -x9-x8-x7-x6+x5-2x3-x2
262406144 = 218·7·11·13y2 + (x6+x4+x2+1)y = -x10+x9-x7-x6+2x5-x3+x
266342400 = 212·32·52·172y2 + (x6+x5+x3+x+1)y = -x11-x8-x7-x4-x3
y2 + (x6+x5+x3+x+1)y = x8-2x6+x4
27944112 = 24·3·72·1092y2 + (x6+1)y = x7+x5
287641600 = 212·52·532y2 + (x6+x5+x3+x+1)y = -x11-x10+2x9-x8-4x7+2x6-2x4+x3-2x2-x
293296943 = 23·35712y2 + (x6+x3+1)y = -x8+x7-2x6+x5-x4
294966016 = 28·592·331y2 + (x6+x5+x4+x3+x2+1)y = -2x11+2x10-2x9-2x8-2x7-x6+x5-x4-2x3+x
295781895 = 33·5·17·3592y2 + (x6+x5+x3+x+1)y = -x11+x10-2x9+2x8-4x7+x6-4x5+2x4-2x3+x2-x
296746628 = 22·17·20892y2 + (x6+x4+x3+x2+1)y = -x10+x8-2x6+x4-x2
32695409 = 192·41·472y2 + (x6+x3+1)y = x10+x8+2x7+2x5+x4+x2
40322500 = 22·54·1272y2 + (x6+x4+x3+x2+1)y = -x10-x9-x6-x3-x2
41575716 = 22·32·74·13·37y2 + (x6+x4+x3+x2+1)y = -x10-x9+x7-2x6-2x5-x2
42790912 = 212·31·337y2 + (x6+x5+x3+1)y = -x9-x8-x7-x6
43263825 = 3·52·11·2292y2 + (x6+x4+x3+x2+1)y = x11+x10+x9-x7-2x6-x5+x3+x2+x
48422720 = 26·5·3892y2 + (x6+x5+x4+x2+x+1)y = -x11-x10-x7-3x6-x5-x3-x2
52015104 = 212·32·17·83y2 + (x6+x5+x3+x+1)y = -x11-x10+2x9-x8-3x7-x6+2x5-x4-x3-x2
59003073 = 38·17·232y2 + (x6+x5+x4+x3+x2+x+1)y = -x10-x9-x7-2x6-x5-x3-x2
62962257 = 3·19·10512y2 + (x6+x5+x3+x+1)y = x10+x9+x8+x7+x5+x4+x3+x2
67782289 = 82332y2 + (x6+x5+x4+x3+x2+x+1)y = -x11-x10-x8-2x7-2x6-2x5-x4-x2-x
69812928 = 26·35·672y2 + (x6+x5+x4+x2+x+1)y = -x7-x6-x5
71680000 = 214·54·7y2 + (x6+x5+x3+x+1)y = -x8-2x7-2x6-2x5-x4
79762761 = 32·132·2292y2 + (x6+x4+x3+x2+1)y = -x10-x8-x7-x6-x5-x4-x2

Genus 2 bad only at one small prime

|D|curve
29y2 + (x3+x2+x+1)y = -x4-x3-x2-x
215y2 = x5+3x3+2x
215y2 = x5-3x3+2x
216y2 + x3y = -2x4+3x2+4
216y2 = x5-x
216y2 + x3y = 2x4+3x2-4
216y2 = x5+x
217y2 + x3y = -x5-3x4+8x3+15x2+4x
217y2 = x5+4x4+4x3+x
217y2 = x5-4x4+4x3+x
217y2 = -x5-2x4+2x3+2x2-x
218y2 = x5+2x3-x
218y2 = x5-x4+x-1
218y2 = -x5+x4-x+1
219y2 + x3y = 2x4+6x2+8
219y2 = -x5+x4+2x-2
219y2 = x5-2x4-2x2-x
219y2 = -x6-3x4-4x2-2
219y2 = -x5-x4+2x+2
219y2 = x6+3x4+4x2+2
219y2 + x3y = -2x4+6x2-8
219y2 = x6-3x4+4x2-2
219y2 = x5+4x4+10x3+8x2+2x
219y2 = x5+4x4+2x3-4x2-x
219y2 = -x5+2x3-2x
219y2 = -x6+3x4-4x2+2
219y2 = x5+2x3+2x
219y2 = -x5-4x4-2x3+4x2+x
219y2 = x5-4x4+10x3-8x2+2x
220y2 = -x5+x4+2x3-2x2+x-1
220y2 = -x5+x4-2x3+2x2+x-1
220y2 = x5-x4+2x3-2x2-x+1
220y2 = x5-x4-2x3+2x2-x+1
221y2 + x3y = -x4-2x2+8
221y2 + x3y = 3x4+10x2+8
221y2 + (x3+x2+x+1)y = 2x5+5x4-2x3+5x2+2x
221y2 = x6-x4-2x2+2
221y2 = -x6+x4+2x2-2
221y2 = 2x5+2x4-x-1
221y2 = -x6+4x4-3x2-2
221y2 = -x5+2x
221y2 = -x6-5x4-6x2-2
221y2 = -2x5-2x4+x+1
221y2 = x6-4x4+3x2+2
221y2 = x6+5x4+6x2+2
221y2 + x3y = -3x4+10x2-8
221y2 + x3y = x4-2x2-8
221y2 + (x3+x2+x+1)y = -x6+2x5+2x4+6x3+2x2+2x-1
221y2 = -2x5+8x4-8x3+x
221y2 = x6+x4-2x2-2
221y2 = -x5-2x
221y2 = x6+4x4+3x2-2
221y2 = -x5-4x3-2x
221y2 = -x6-x4+2x2+2
221y2 = x5-3x4-6x3+2x2+3x-1
221y2 = x5+3x4-2x3-6x2+3x+1
221y2 = x5-3x4-2x3+6x2+3x-1
221y2 = x5-4x3+2x
221y2 = -x6+5x4-6x2+2
221y2 = x6-5x4+6x2-2
221y2 = 2x5-8x4+8x3-x
221y2 = -x6-4x4-3x2+2
221y2 = -x5+3x4+6x3-2x2-3x+1
222y2 = x6+x4+x2+1
222y2 + x3y = 4x4+18x2+16
222y2 = 2x6+8x4+9x2+2
222y2 = -x6-x4-x2-1
222y2 = -2x6-8x4-9x2-2
222y2 + x3y = -4x4+18x2-16
222y2 = x6-x4+x2-1
222y2 = x5+6x3+x
222y2 = -x5+6x3-x
222y2 = -2x6+8x4-9x2+2
222y2 = 2x6-8x4+9x2-2
223y2 = -x5-x4+2x3-2x2+3x-1
223y2 = -x5-3x4-2x3-2x2-x+1
223y2 = x5+3x4+2x3+2x2+x-1
223y2 = x5+x4-2x3+2x2-3x+1
223y2 = -x5-2x4-4x3-4x2-4x
223y2 = -x5+2x4-4x3+4x2-4x
224y2 = x6-3x4+x2+1
224y2 = -x6-4x4-6x2-4
224y2 = x5+x4+4x3+4x2-4x-4
224y2 = -x6+3x4-x2-1
224y2 = -x5-4x4+2x3-4x2-x
224y2 = -x5+4x4+2x3+4x2-x
224y2 = -x5-x4-4x3-4x2+4x+4
224y2 = x6+4x4+6x2+4
224y2 = x6-4x4+6x2-4
224y2 = -x6-3x4-x2+1
224y2 = -x6+x4+3x2+1
224y2 = -x6+4x4-6x2+4
225y2 = -x6-4x5-7x4-8x3-9x2-4x-3
225y2 = x6-4x5+7x4-8x3+9x2-4x+3
225y2 = x6-2x5-4x4+8x3+2x2-4x
225y2 = -x6+2x5+4x4-8x3-2x2+4x
225y2 = -2x5-6x3-4x
225y2 = x5+4x4-2x3-12x2+x
225y2 = 2x5-6x3+4x
225y2 = -x5-4x4-10x3+4x2-x
225y2 = -x5+4x4+6x3-4x2-x
225y2 = x5-8x4+18x3+8x2+x
225y2 = -x5-4x4+2x3+12x2-x
226y2 = x6-2x4-2x2+4
226y2 = x6+6x4+10x2+4
226y2 = -x6+2x4+2x2-4
226y2 = -x6-3x4+8x2-4
226y2 = x5-4x
226y2 = -x6-6x4-10x2-4
226y2 = x6+2x4-2x2-4
226y2 = 2x5+2x
226y2 = -x6-2x4+2x2+4
226y2 = -x5-4x
226y2 = -x5+x4+6x3-6x2-x+1
226y2 = -x6+6x4-10x2+4
226y2 = x5-x4-6x3+6x2+x-1
226y2 = x6-6x4+10x2-4
226y2 = x6-3x4-8x2-4
227y2 = -x6-9x4-16x2-8
227y2 = -x6-8x4-18x2-8
227y2 = x6+9x4+16x2+8
227y2 = x6+8x4+18x2+8
227y2 = 2x5+8x4+8x3+2x
227y2 = x6-9x4+16x2-8
227y2 = x6-8x4+18x2-8
227y2 = -x6+8x4-18x2+8
227y2 = -2x5-5x4+24x3-10x2-14x+3
227y2 = 2x5-8x4+8x3+2x
227y2 = -x6+9x4-16x2+8
228y2 = -x6+x5-4x4+4x3+4x2-4x
228y2 = -x5-3x4+2x3+6x2+3x-7
228y2 = -x5+4x3+4x
228y2 = -x5-4x4-4x3-8x2-4x
228y2 = -2x5-4x3+2x
228y2 = x5+4x4+4x3+8x2+4x
228y2 = -x5-4x3+4x
228y2 = x6-x5+4x4-4x3-4x2+4x
228y2 = -x5+3x4+2x3-6x2+3x+7
228y2 = 2x5-2x4+2x-2
228y2 = 2x5+2x4+2x+2
229y2 = 2x5+4x4+4x2-2x
229y2 = -2x5+2x4+4x-4
229y2 = 2x5-4x4-4x2-2x
229y2 = -2x6-6x4-8x2-4
229y2 = -2x5-2x4+4x+4
229y2 = -2x5+8x4-20x3+16x2-4x
229y2 = -2x5+4x3-4x
229y2 = -2x5-4x3-4x
229y2 = 2x5+8x4+4x3-8x2-2x
229y2 = -x5-4x4-4x3+8x2-4x
229y2 = 4x5+8x4-12x3-16x2+15x-2
229y2 = x5+5x4-2x3-10x2-3x+1
229y2 = x5+4x4+12x3+8x2+4x
229y2 = x5+3x4-10x3+2x2+5x-1
229y2 = x5+7x4-4x3-20x2+20x-4
229y2 = -x5-5x4+2x3+10x2+3x-1
229y2 = -x5-3x4+10x3-2x2-5x+1
229y2 = -2x5-8x4-4x3+8x2+2x
229y2 = 2x6-6x4+8x2-4
229y2 = 2x5-8x4+20x3-16x2+4x
229y2 = x5+4x4+4x3-8x2+4x
229y2 = x5-4x4+12x3-8x2+4x
229y2 = -4x5-8x4+12x3+16x2-15x+2
229y2 = -x5-7x4+4x3+20x2-20x+4
230y2 = -2x5+2x4+4x3-4x2+2x-2
230y2 = -2x5+2x4-4x3+4x2+2x-2
230y2 = 2x5-2x4+4x3-4x2-2x+2
230y2 = -2x5-2x4+4x3+4x2+2x+2
231y2 = -2x6+2x4+4x2-4
231y2 = -2x5+4x
231y2 = -2x6-10x4-12x2-4
231y2 = -4x5+4x4+2x-2
231y2 = -2x6+8x4-6x2-4
231y2 = 4x5-4x4-2x+2
231y2 = 2x6+2x4-4x2-4
231y2 = -2x5-8x3-4x
231y2 = 2x5+4x
231y2 = 2x5+6x4-4x3-12x2+6x+2
231y2 = 4x5+16x4+16x3-2x
231y2 = 2x5-6x4-4x3+12x2+6x-2
231y2 = 2x5-6x4-12x3+4x2+6x-2
231y2 = -2x5+8x3-4x
231y2 = 2x6-10x4+12x2-4
231y2 = 2x6+8x4+6x2-4
231y2 = -4x5-16x4-16x3+2x
231y2 = -2x5+6x4+12x3-4x2-6x+2
232y2 = 2x6+2x4+2x2+2
232y2 = -2x6-2x4-2x2-2
232y2 = -x5-8x4-12x3-16x2-4x
232y2 = -4x6-16x4-18x2-4
232y2 = x5+8x4+12x3+16x2+4x
232y2 = -x5-12x3-4x
232y2 = 2x5-12x3+2x
232y2 = -4x6+16x4-18x2+4
232y2 = x5-12x3+4x
233y2 = x5-5x4-10x3+18x2+13x-17
233y2 = -4x5+20x3-16x2-x
233y2 = x5-8x4+4x3+16x2+4x
233y2 = x5+8x4+4x3-16x2+4x
233y2 = -4x5+20x3+16x2-x
233y2 = -x5+5x4+10x3-18x2-13x+17
234y2 = -2x5+2x4-8x3+8x2+8x-8
234y2 = -2x6-8x4-12x2-8
234y2 = 2x5-2x4+8x3-8x2-8x+8
234y2 = 2x6+8x4+12x2+8
234y2 = 2x6-8x4+12x2-8
234y2 = -2x6-6x4-2x2+2
234y2 = 2x6+6x4+2x2-2
234y2 = -2x6+8x4-12x2+8
235y2 = -2x6+8x5-14x4+16x3-18x2+8x-6
235y2 = 2x6-8x5+14x4-16x3+18x2-8x+6
235y2 = 2x5-8x4+20x3+8x2+2x
235y2 = 2x5+8x4-12x3-8x2+2x
236y2 = x6-5x4-5x2+1
236y2 = -2x6-12x4-20x2-8
236y2 = -2x6-6x4+16x2-8
236y2 = -2x6+4x4+4x2-8
236y2 = -x6+5x4+5x2-1
236y2 = 2x6+6x4-16x2+8
236y2 = 2x6-4x4-4x2+8
236y2 = 2x6+12x4+20x2+8
236y2 = -x6-4x5-7x4-8x3-3x2-4x+3
236y2 = x6+4x5+7x4+8x3+3x2+4x-3
236y2 = 2x6-12x4+20x2-8
236y2 = 2x6-6x4-16x2-8
236y2 = 2x6+4x4-4x2-8
236y2 = -2x6+12x4-20x2+8
236y2 = -2x6-4x4+4x2+8
236y2 = -2x6+6x4+16x2+8
237y2 = -x6-2x4-4x2-8
237y2 = x6+2x4+4x2+8
237y2 = -x6+2x4-4x2+8
237y2 = x6-2x4+4x2-8
238y2 = x6-x4+8x3-5x2+8x-3
238y2 = -x6+x4-8x3+5x2-8x+3
239y2 = -x6-2x4+12x2-8
239y2 = -x6+6x4-4x2-8
239y2 = -x6-7x4+8x3-11x2+8x-5
239y2 = x6+7x4-8x3+11x2-8x+5
239y2 = x6-6x4+4x2+8
239y2 = x6+2x4-12x2+8
239y2 = -x6+2x4+12x2+8
239y2 = x6-2x4-12x2-8
239y2 = x6+6x4+4x2-8
239y2 = -x6-6x4-4x2+8
240y2 = -x6-4x5-3x4+5x2+4x+7
240y2 = -x6-4x5-11x4-16x3-11x2-12x-1
240y2 = x6+4x5+3x4-5x2-4x-7
240y2 = x6+4x5+11x4+16x3+11x2+12x+1
240y2 = -3x6-10x5-3x4+12x3+3x2-10x+3
240y2 = -x6-6x5-x4+20x3+x2-6x+1
240y2 = x6+6x5+17x4+12x3-17x2+6x-1
240y2 = -x6-2x5+15x4-4x3-15x2-2x+1
241y2 = x6+4x5+11x4+11x2-4x+1
241y2 = 3x6-4x5+x4+x2+4x+3
241y2 = -3x6-4x5-x4-x2+4x-3
241y2 = -x6+4x5-11x4-11x2-4x-1
241y2 = -x6-4x5+5x4+5x2+4x-1
241y2 = x6+4x5-5x4-5x2-4x+1
242y2 = 3x6+4x5+9x4+9x2-4x+3
242y2 = -3x6+4x5-9x4-9x2-4x-3
242y2 = x6+4x5-5x4+16x3-13x2+12x-7
242y2 = -x6-4x5+5x4-16x3+13x2-12x+7
243y2 = x6+2x5-3x4-12x3-17x2+2x+3
243y2 = -x6+2x5+3x4-12x3+17x2+2x-3
244y2 = -5x6+4x5-14x4+16x3-12x2+16x-8
244y2 = 5x6-4x5+14x4-16x3+12x2-16x+8
244y2 = -x6+2x5-5x4+4x3+17x2+18x+5
244y2 = x6+4x5+2x4-16x3-4x2+16x-8
244y2 = x6+2x5+5x4+4x3-17x2+18x-5
244y2 = -x6-4x5-2x4+16x3+4x2-16x+8
245y2 = x6+8x5+19x4+19x2-8x+1
245y2 = -x6+8x5-19x4-19x2-8x-1
245y2 = -5x6-8x5+x4+x2+8x-5
245y2 = 5x6-8x5-x4-x2+8x+5
246y2 = -x6-2x5-9x4-4x3-7x2+14x-15
246y2 = -x6-4x5-6x4-12x2+16x-8
246y2 = x6-4x5+6x4+12x2+16x+8
246y2 = x6-2x5+9x4-4x3+7x2+14x+15
246y2 = x6+2x5+5x4+20x3+15x2+2x-5
246y2 = -x6+6x5-5x4-36x3+49x2-26x+5
246y2 = -x6-2x5-5x4-20x3-15x2-2x+5
246y2 = x6+6x5+5x4-36x3-49x2-26x-5
247y2 = -3x6-10x5-11x4-4x3+11x2-10x+3
251y2 = -x6+10x4+20x2-8
251y2 = x6-10x4-20x2+8
251y2 = x6+10x4-20x2-8
251y2 = -3x6-2x5+5x4-20x3-5x2-2x+3
251y2 = -x6-10x4+20x2+8
38y2 + (x3+1)y = -1
311y2 + (x3+1)y = x3-1
317y2 + (x2+x+1)y = -x6-x4+3x3-3x2-11x-5
318y2 + (x3+1)y = x3-7
318y2 + (x3+1)y = -x6+x3+2
320y2 + (x3+1)y = 3x5+15x4+14x3+15x2+12x+3
321y2 + (x3+1)y = 4x3-7
321y2 + (x3+1)y = -x6+4x3+2
55y2 + x3y = x
56y2 + (x3+x2+1)y = x4+2x3+2x2+2x
59y2 + y = -x5+1
510y2 + (x3+x2+1)y = -x5+x4+7x3+2x2-2x
511y2 + x3y = -5x
512y2 + (x3+x+1)y = x6+x5+2x4+2x3+x2+2x-1
512y2 + (x3+x+1)y = -3x4+7x3+x2-5x+1
513y2 + x3y = -2x6+6x5-10x3+x-2
513y2 + y = -x5-10x4+10x3-5x2-5x-1
513y2 + y = -x5+6
515y2 + x3y = x6+5x
516y2 + (x3+x2+1)y = x6+2x5+6x4+12x3+12x2+10x+1
519y2 + y = -5x5+6
522y2 + (x3+x+1)y = 6x6-5x5+12x4-13x3+6x2-13x-4
113y2 + (x3+x2+x+1)y = -2x5+2x4-3x3+2x2-2x
117y2 + (x3+x)y = -x6-x5+3x4+2x3-5x2+6x-7
118y2 + y = -x6-3x5-x4+3x3+8x2+6x+3
132y2 + (x3+x2+1)y = x2+x
135y2 + x3y = -2x4+2x3+2x2-3x-2
1311y2 + y = -2x6+3x5+2x4+5x3-13x2+4x-4
1312y2 + (x3+x2+1)y = 3x6+6x5+3x4+6x3+19x2+13x+3
174y2 + (x3+x2+1)y = -4x3-x2+2x+2
1710y2 + (x3+x+1)y = -x6-7x5-6x4+x3+10x2-3x-2
196y2 + (x3+x+1)y = -x6-x5+3x2+1
197y2 + (x2+x+1)y = -x5+x4-5x3-4x-8
232y2 + (x3+x2+1)y = -x
236y2 + (x3+x+1)y = -2x5-3x2+2x-2
292y2 + (x3+x2+x)y = x4+x3+3x2+x+2
294y2 + (x3+x+1)y = -x5-2x4+7x3+3x2-6x+1
295y2 + (x3+1)y = x5-3x4-x3+2x2-2x-2
2910y2 + (x2+x)y = -2x6-7x5+4x4+9x3+18x2+8x+7
312y2 + (x3+x2+1)y = -x6+2x5-9x4+12x3-17x2+10x-6
312y2 + (x3+x2+1)y = -x3-2x2-x-1
314y2 + (x3+x+1)y = -2x5+x4+4x3-3x2-4x-1
316y2 + (x3+x2+1)y = -x6+2x5-3x4+2x3-8x2-5x-1
318y2 + (x3+x2+1)y = -2x5+13x4-19x3+6x2+6x-3
372y2 + (x3+x2+x+1)y = -x4-x3-x2
373y2 + y = -x6-3x5-6x4-7x3-5x2-2x
373y2 + y = -x6-3x5-2x4+x3+4x2+3x+1
377y2 + (x2+1)y = x6-6x5+5x4+14x3-5x2-19x-9
3712y2 + (x3+x2+x+1)y = 9x6+18x5-10x4-x3-10x2+18x+9
434y2 + (x3+x+1)y = -x6-2x5-4x4-4x3-2x2-x+1
435y2 + (x3+x2+x+1)y = -x6+x4-4x2-3x-2
612y2 + (x3+x+1)y = -x4+x3+3x2+x
672y2 + (x3+x2+1)y = -x3-x2-x-1
672y2 + (x3+x2+1)y = -x3-x
672y2 + (x3+x+1)y = -x6-5x5-7x4+10x3+11x2-16x+4
676y2 + (x3+x2+1)y = -2x6-2x5+5x4-8x3-16x2+7x-1
676y2 + (x3+x2+1)y = -x6-x5-4x4+8x2+10x+4
732y2 + (x3+x2+1)y = x3-x
734y2 + (x3+x+1)y = 2x3+3x2-2x-3
734y2 + (x3+x2+1)y = -x6+2x5+2x4-7x3-10x2+3x+1
798y2 + (x3+x2+1)y = 4x6+2x5+18x4+3x3+6x2+x-5
972y2 + (x3+x2+1)y = 2x4+2x3+6x2+3x+6

Genus 3 bad only at one small prime

|D|curve
219y2 + (x4+1)y = -x7+x6-x3+x2
219y2 + x4y = x7+2x6+3x5+4x4+4x3+4x2+2x+1
220y2 + (x4+1)y = -2x4
220y2 + (x4+1)y = x4
221y2 + (x4+1)y = -x7+x6+x5-3x4+3x3-3x2+x-1
221y2 + (x4+1)y = -x7+3x5-2x4-x3-x
222y2 + x4y = -x6+2x2-1
222y2 + x4y = -1
222y2 + x4y = x6-2x2-1
222y2 + x4y = 1
222y2 + (x4+1)y = 2x7+4x6-2x5-10x4-2x3+4x2+2x
223y2 + x4y = -x6+3x4-4x2+2
223y2 + x4y = x6+3x4+4x2+2
224y2 + (x4+1)y = -x6-x4-x2
224y2 + (x4+1)y = x6-x4+x2
224y2 + (x4+1)y = -x6+2x4-3x2
224y2 + (x4+1)y = x6+2x4+3x2
225y2 = x7+3x5+4x3+2x
225y2 + (x4+1)y = -x7+x6-x5+3x3-x2-x
225y2 + x4y = -x7-x6+6x5-x4-6x3+2x2+4x+1
225y2 + (x4+1)y = x7+x6-x5-4x4-3x3-x2-x
225y2 + x4y = -x4+2
225y2 + x4y = x4+2
225y2 = -x7+3x5-4x3+2x
225y2 + x4y = -2x6+5x4-4x2+2
225y2 + x4y = 2x6+5x4+4x2+2
226y2 + x4y = -x4-1
226y2 + x4y = x4-1
226y2 = -x7-x5-x3-x
226y2 + x4y = -2x6-5x4-4x2-1
226y2 + x4y = -2x6+5x4-4x2-1
226y2 + x4y = 2x6-5x4+4x2-1
226y2 + x4y = 2x6+5x4+4x2-1
226y2 = -x7+x5-x3+x
226y2 + (x4+1)y = -x6-2x4+x2
226y2 + x4y = -x6+x4-2x2+1
226y2 + x4y = x6+x4+2x2+1
226y2 + (x4+1)y = x6+2x4-x2
226y2 + (x4+1)y = -x6-x4+3x2
226y2 + (x4+1)y = x6-x4-3x2
226y2 + (x4+1)y = -2x6+4x4+2x2
227y2 = x7-x6-4x5+4x4+3x3-3x2+2x-2
227y2 = x7-x5-2x3+2x
227y2 = x7+5x5+6x3+2x
227y2 = x7-4x5+3x3+2x
227y2 = -x7+x6+4x5-4x4-3x3+3x2-2x+2
227y2 + x4y = -2x4-4x2-2
227y2 + x4y = -2x4+4x2-2
227y2 + (x4+1)y = -x7+2x6-3x5+3x4-x3+x-1
227y2 = -x7+x6-x5+x4+2x3-2x2+2x-2
227y2 = -x7-x5+2x3+2x
227y2 = -x7-x6-x5-x4+2x3+2x2+2x+2
227y2 = -x7+5x5-6x3+2x
227y2 = -x7-4x5-3x3+2x
227y2 + x4y = -2x6+4x4-4x2+2
227y2 + x4y = 2x6+4x4+4x2+2
228y2 = -x7-x5+3x3-x
228y2 + x4y = -2x6+3x4-1
228y2 + x4y = -3x4-4x2-1
228y2 + x4y = -3x4+4x2-1
228y2 + x4y = 2x6+3x4-1
228y2 = -x7-6x6-11x5-4x4+3x3-2x2+x
228y2 = x7+3x5+x3-x
228y2 + x4y = x6+x4-2x2+1
228y2 + x4y = -x6+x4+2x2+1
228y2 = -x7+6x6-11x5+4x4+3x3+2x2+x
228y2 + x4y = -x6+3x4-2x2+1
228y2 + x4y = x6+3x4+2x2+1
229y2 + x4y = -2
229y2 = 2x7-2x6+3x5-3x4-4x3+4x2+x-1
229y2 = -2x7+2x6-3x5+3x4+4x3-4x2-x+1
229y2 + x4y = -2x6-8x4-8x2-2
229y2 + x4y = -2x6+4x4-2
229y2 + x4y = 2x6-8x4+8x2-2
229y2 + x4y = 2x6+4x4-2
229y2 = -2x7+2x6-2x5+2x4+x3-x2+x-1
229y2 = -x7-4x6-x5+8x4+3x3-4x2-x
229y2 = -x7+4x6-x5-8x4+3x3+4x2-x
229y2 = -2x7-2x6-2x5-2x4+x3+x2+x+1
229y2 + x4y = -2x4+2
229y2 + x4y = 2
229y2 + x4y = 2x4+2
229y2 + x4y = -2x6+6x4-8x2+2
229y2 + x4y = 2x6+6x4+8x2+2
230y2 = x7-x6+x5-x4+x3-x2+x-1
230y2 = x7-x6-2x5+2x4-2x3+2x2+4x-4
230y2 = -x7+x6-x5+x4-x3+x2-x+1
230y2 = -x7+x6+2x5-2x4+2x3-2x2-4x+4
230y2 + (x4+1)y = -2x7+7x6-12x5+12x4-6x3+x2
231y2 = x8-5x6+7x4-x2-2
231y2 = x8+5x6+7x4+x2-2
231y2 = -x8-5x6-7x4-x2+2
231y2 = -x8+5x6-7x4+x2+2
231y2 = -x8-3x4-2
231y2 = -x8+3x4-2
231y2 = x8-3x4+2
231y2 = x8+3x4+2
231y2 + x4y = -3x4+8
231y2 + x4y = 3x4+8
232y2 = x8-3x6+6x2-4
232y2 = x8+3x6-6x2-4
232y2 = -x8+3x6-6x2+4
232y2 = -x8-3x6+6x2+4
232y2 = x7+4x5+6x3+4x
232y2 + x4y = -2x6-2x5-x4+4x2+4x+1
232y2 + (x4+1)y = -3x6-6x5-4x4+4x3+3x2-2x
232y2 = -x7+x6+x5-x4+3x3-3x2+x-1
232y2 = -x7+x6-3x5+3x4-x3+x2+x-1
232y2 = -x8+7x7-17x6+15x5-x4-x3-x2-x
232y2 = -x7+4x5-6x3+4x
232y2 = x8+7x7+17x6+15x5+x4-x3+x2-x
232y2 = -x7-x6-3x5-3x4-x3-x2+x+1
232y2 = -x7-x6+x5+x4+3x3+3x2+x+1
233y2 = -x7-2x6+x5+x3+2x2-x
233y2 = x7-2x6+2x5+2x3-4x2+4x
233y2 = x7+2x6+2x5+2x3+4x2+4x
234y2 = -x8-x7+2x6+2x5+2x4+2x3-4x2-4x
234y2 = x7+3x5-8x3+4x
234y2 = x7-2x5-2x3+4x
234y2 = x8+x7-2x6-2x5-2x4-2x3+4x2+4x
234y2 = -x7+3x5+8x3+4x
234y2 = -x7-2x5+2x3+4x
234y2 + x4y = -2x6+3x4-4x2+1
234y2 + x4y = -3x4+1
234y2 + x4y = 3x4+1
234y2 + x4y = 2x6+3x4+4x2+1
234y2 + (x4+1)y = -3x6+8x4-5x2
234y2 + (x4+1)y = -x6+5x4-x2
234y2 + (x4+1)y = x6+5x4+x2
234y2 + (x4+1)y = 3x6+8x4+5x2
236y2 = -x8+1
236y2 + x4y = -4
236y2 = -x8-1
236y2 = -x7+7x5-7x3+x
236y2 = x8+1
236y2 + x4y = -4x6-5x4+1
236y2 + x4y = -2x6+x4+4x2+1
236y2 + x4y = -2x6+7x4-4x2+1
236y2 + x4y = -5x4-8x2+1
236y2 + x4y = -5x4+8x2+1
236y2 + x4y = 4
236y2 + x4y = 2x6+x4-4x2+1
236y2 + x4y = 2x6+7x4+4x2+1
236y2 + x4y = 4x6-5x4+1
237y2 = -x8-4x6-6x4-4x2-2
237y2 = -x8+4x6-6x4+4x2-2
237y2 = x8-4x6+6x4-4x2+2
237y2 = x8+4x6+6x4+4x2+2
237y2 + x4y = -2x6+6x4-8x2+8
237y2 + x4y = 2x6+6x4+8x2+8
238y2 = -x8-2x6+2x4+2x2-1
238y2 + (x4+1)y = -x6-7x4-x2
238y2 = -x8-4x6-4x4-1
238y2 = -x8-4x4+4x2-1
238y2 = -x7+4x6+x5+8x4+x3+4x2-x
238y2 = x8-4x6+4x4+1
238y2 = x8+4x4+4x2+1
238y2 + (x4+1)y = 3x6+x4+3x2
238y2 + x4y = -2x6+4x4+4
238y2 + x4y = -x6-2x4+4x2+4
238y2 + x4y = 4x4+8x2+4
238y2 + (x4+1)y = -3x6+x4-3x2
238y2 + (x4+1)y = x6-7x4+x2
239y2 = 2x7+6x5+8x3+4x
239y2 = -x8-2x4-2
239y2 = -x8+2x4-2
239y2 = -x7-4x6+7x5+8x4-7x3-4x2+x
239y2 = -x7+4x6+7x5-8x4-7x3+4x2+x
239y2 = -2x7+6x5-8x3+4x
239y2 = x8-2x4+2
239y2 = x8+2x4+2
239y2 + x4y = -2x4+8
239y2 + x4y = 2x4+8
240y2 = -x8-2x4+1
240y2 = -x8+2x4+1
240y2 = -2x7-2x5-2x3-2x
240y2 = -x7+5x5+5x3-x
240y2 + x4y = -2x4-4
240y2 + x4y = 2x4-4
240y2 = -x7-5x5+5x3+x
240y2 + (x4+1)y = -x8-2x7-3x6-2x5+3x4+2x3-3x2+2x-1
240y2 + (x4+1)y = 2x7-x6-2x5-7x4-2x3-x2+2x
240y2 + (x4+1)y = 2x7+3x6-2x5+x4-2x3+3x2+2x
240y2 + (x4+1)y = -2x7+5x6-2x5+x4+2x3+5x2+2x
241y2 = 2x7-2x6-8x5+8x4+6x3-6x2+4x-4
241y2 = x8-4x6+4x4-2
241y2 = x8+4x6+4x4-2
241y2 = -x8-4x6-4x4+2
241y2 = -x8+4x6-4x4+2
241y2 = 2x7-2x5-4x3+4x
241y2 = 2x7-8x5+6x3+4x
241y2 = -2x7+2x6+8x5-8x4-6x3+6x2-4x+4
241y2 + x4y = -2x6+4x4-8
241y2 + x4y = 2x6+4x4-8
241y2 = -x8-4x6-8x4-8x2-2
241y2 = -x8+4x6-8x4+8x2-2
241y2 = -2x7+2x6-2x5+2x4+4x3-4x2+4x-4
241y2 = -2x7-2x5+4x3+4x
241y2 = -2x7-8x5-6x3+4x
241y2 = x8-4x6+8x4-8x2+2
241y2 = x8+4x6+8x4+8x2+2
241y2 = -2x7-2x6-2x5-2x4+4x3+4x2+4x+4
242y2 = -x8-4x6-6x4-4x2+1
242y2 = -x8+4x6-2x4-4x2+1
242y2 = x8-4x6+2x4+4x2-1
242y2 = x8-4x6+6x4-4x2-1
242y2 = -x8-2x6-2x2+1
242y2 = -x8+2x6+2x2+1
242y2 = -x8+4x6-6x4+4x2+1
242y2 = -x8-4x6-2x4+4x2+1
242y2 = x8+4x6+2x4-4x2-1
242y2 = x8+4x6+6x4+4x2-1
242y2 = -2x7-2x5+6x3-2x
242y2 + x4y = -2x6-6x4-8x2-4
242y2 + x4y = -2x6-2x4+8x2-4
242y2 + x4y = -2x6+2x4+8x2-4
242y2 + x4y = -2x6+6x4-8x2-4
242y2 + x4y = -x6-4x2-4
242y2 + x4y = x6+4x2-4
242y2 + x4y = 2x6-6x4+8x2-4
242y2 + x4y = 2x6-2x4-8x2-4
242y2 + x4y = 2x6+2x4-8x2-4
242y2 + x4y = 2x6+6x4+8x2-4
242y2 = 2x7+6x5+2x3-2x
243y2 = x8-2
243y2 = 4x7-4x6+6x5-6x4-8x3+8x2+2x-2
243y2 = x8-8x4-8x2-2
243y2 = x8-8x4+8x2-2
243y2 = -x8-4x7-2x6+8x5+8x4+4x3+6x2+1
243y2 = x8-4x7+2x6+8x5-8x4+4x3-6x2-1
243y2 = -x8+8x4-8x2+2
243y2 = -x8+2
243y2 = -x8+8x4+8x2+2
243y2 = -4x7+4x6-6x5+6x4+8x3-8x2-2x+2
243y2 + x4y = -8
243y2 = -x8-2
243y2 = -x8-4x4-2
243y2 = -x8+4x4-2
243y2 = -4x7+4x6-4x5+4x4+2x3-2x2+2x-2
243y2 = x8-4x4+2
243y2 = x8+2
243y2 = x8+4x4+2
243y2 = -4x7-4x6-4x5-4x4+2x3+2x2+2x+2
243y2 + x4y = -4x4+8
243y2 + x4y = 8
243y2 + x4y = 4x4+8
244y2 = 2x7-2x6+2x5-2x4+2x3-2x2+2x-2
244y2 = 2x7-2x6-4x5+4x4-4x3+4x2+8x-8
244y2 = x8-2x6+4x2-4
244y2 = x8+2x6-4x2-4
244y2 = -x8+2x6-4x2+4
244y2 = -x8-2x6+4x2+4
244y2 = -x7+x6-7x5+7x4-7x3+7x2-x+1
244y2 = -2x7+2x6+4x5-4x4+4x3-4x2-8x+8
244y2 = -x8-2x6-4x4-4x2-4
244y2 = -x8+2x6-4x4+4x2-4
244y2 = x8-2x6+4x4-4x2+4
244y2 = x8+2x6+4x4+4x2+4
245y2 = x7-4x6+11x5+11x3+4x2+x
245y2 = -x7-4x6+5x5+5x3+4x2-x
245y2 = -x8-6x4-8
245y2 = -x8+6x4-8
245y2 = -2x8-6x4-4
245y2 = -2x8+6x4-4
245y2 = 2x8-6x4+4
245y2 = 2x8+6x4+4
245y2 = x8-6x4+8
245y2 = x8+6x4+8
246y2 = x7-x6-5x5+5x4-5x3+5x2+x-1
246y2 = x7-5x6+3x5-7x4+7x3-3x2+5x-1
246y2 = -2x7+2x6-6x5+6x4-2x3+2x2+2x-2
246y2 = -x7-2x6-2x5+4x3+8x2+8x
246y2 = -x7+5x6-3x5+7x4-7x3+3x2-5x+1
246y2 = -2x7-2x6-6x5-6x4-2x3-2x2+2x+2
247y2 = 2x7-4x6+4x5+4x3-8x2+8x
247y2 = 2x7+4x6+4x5+4x3+8x2+8x
247y2 = -2x7-4x6+2x5+2x3+4x2-2x
247y2 = x7+2x5+4x3+8x
247y2 = -x8-4x7-8x6-12x5-16x4-16x3-16x2-8x-4
247y2 = -x8-4x7-4x6-2x4-4x3-4x2-1
247y2 = -x7+2x5-4x3+8x
248y2 = -2x8-2x7+4x6+4x5+4x4+4x3-8x2-8x
248y2 = 2x7-4x5-4x3+8x
248y2 = 2x8+2x7-4x6-4x5-4x4-4x3+8x2+8x
248y2 = -x8-6x4-1
248y2 = -x8+6x4-1
248y2 = -2x7-4x5+4x3+8x
248y2 + x4y = -6x4+4
248y2 + x4y = 6x4+4
248y2 + (x4+1)y = 5x6-7x4+5x2
249y2 = -x8+4x7-4x6-4x5+10x4-12x3+12x2-4x+3
249y2 = x7-6x5+4x3+8x
249y2 + x4y = x7+x6-2x5-4x3-4x2+8x-4
249y2 + x4y = x8-x7+x6-2x5-4x4+4x3-4x2+8x-4
249y2 + x4y = -x8-2x7+2x6+8x5+6x4+8x3+8x2+4
249y2 = -x7-6x5-4x3+8x
250y2 = -2x8+2
250y2 = -x8+4x6-8x2+4
250y2 = -x8+4
250y2 = -x8-4x6+8x2+4
250y2 = -2x8-2
250y2 = -x7-3x6+x5+3x4+5x3-x2+3x-7
250y2 = -x8-4
250y2 = -x7-2x6-6x5-8x4-4x3+8x2+8x
250y2 = -x7+2x6-6x5+8x4-4x3-8x2+8x
250y2 = 2x8+2
250y2 = -x7+3x6+x5-3x4+5x3+x2+3x+7
252y2 = -2x8-8x6-8x4-2
252y2 = -2x8-4x6+4x4+4x2-2
252y2 = -2x8-8x4+8x2-2
252y2 = -x8-4x6+2x4-4x2-1
252y2 = -x8+4x6+2x4+4x2-1
252y2 = 2x8-8x6+8x4+2
252y2 = 2x8-4x6-4x4+4x2+2
252y2 = 2x8+8x4+8x2+2
252y2 + x4y = -2x6-2x4-8x2+4
252y2 + x4y = 2x6-2x4+8x2+4
252y2 + (x4+1)y = -2x8+2x7-5x6-2x5-3x4-2x3-5x2+2x-2
253y2 + x4y = 2x7+6x6+8x5+6x4+8x3-8x2+4
253y2 = -x8-4x4-8
253y2 = -x8+4x4-8
253y2 = -2x8-4x4-4
253y2 = -2x8+4x4-4
253y2 = -x8+4x7-4x6-4x5+14x4-12x3+4x2-4x-1
253y2 = 2x8-4x4+4
253y2 = 2x8+4x4+4
254y2 = -x8+6x6-6x2+1
254y2 = -2x8-4x4+2
254y2 = -2x8+4x4+2
254y2 = -x8-4x4+4
254y2 = -x8+4x4+4
254y2 = -x8-4x6-4x4-8x2-4
254y2 = -x8+4x6-4x4+8x2-4
254y2 = -x8-4x6+6x4+4x2-1
254y2 + x4y = -6x6-2x4+8x2+4
254y2 + x4y = -2x6-6x4+8x2+4
254y2 + x4y = 6x6-2x4-8x2+4
254y2 + (x4+1)y = -x8-x7+3x6+7x5+7x4-7x3+3x2+x-1
254y2 + (x4+1)y = 2x8-2x7-3x6-2x5+5x4+2x3-3x2+2x+2
255y2 = 2x8-8x6+8x4-4
255y2 = 2x8+8x6+8x4-4
255y2 = -2x8-8x6-8x4+4
255y2 = -2x8+8x6-8x4+4
255y2 + x4y = -x8-2x7-4x6-8x5-2x4+8x3+4
256y2 = -2x8+8x6-4x4-8x2+2
256y2 = 2x8-8x6+4x4+8x2-2
256y2 = -2x8-4x6-4x2+2
256y2 = -2x8+4x6+4x2+2
256y2 = -2x8-8x6-4x4+8x2+2
256y2 = 2x8+8x6+4x4-8x2-2
256y2 = -x8-4x6-4x4+8x2-4
256y2 = -x8+4x6-4x4-8x2-4
257y2 = 2x8-4
257y2 = -2x8+4
257y2 = -x8+8
257y2 = -x8-8x4-8
257y2 = -x8-8
257y2 = -x8+8x4-8
257y2 = -2x8-8x4-4
257y2 = -2x8-4
257y2 = -2x8+8x4-4
257y2 = 2x8-8x4+4
257y2 = 2x8+4
257y2 = 2x8+8x4+4
258y2 = 2x8-4x6+8x2-8
258y2 = 2x8+4x6-8x2-8
258y2 = -2x8+4x6-8x2+8
258y2 = -2x8-4x6+8x2+8
258y2 = -2x8-4x6-8x4-8x2-8
258y2 = -2x8+4x6-8x4+8x2-8
258y2 = -x8+4x7-2x6-4x5+8x4-4x3+2x2+4x-7
258y2 = x8-4x7+2x6+4x5-8x4+4x3-2x2-4x+7
258y2 = 2x8-4x6+8x4-8x2+8
258y2 = 2x8+4x6+8x4+8x2+8
259y2 = -x8-4x7+6x6+4x5+4x3-6x2-4x+1
259y2 = -3x8-4x7+2x6+4x5+4x3-2x2-4x+3
261y2 = -2x8-8x7-8x6-4x4-8x3-8x2-2
261y2 = 2x8-8x7+8x6+4x4-8x3+8x2+2
263y2 = -5x8-8x7+6x6+8x5+8x3-6x2-8x+5
264y2 = 2x8-8
264y2 = -2x8+8
264y2 = -2x8-8
264y2 = 2x8+8
266y2 = -2x8-8x6+4x4-8x2-2
266y2 = 2x8-8x6-4x4-8x2+2
266y2 + (x4+1)y = -6x7+5x6-6x5-7x4+6x3+5x2+6x
268y2 = 2x8-8x4-8
268y2 = 2x8+8x4-8
268y2 = -2x8-8x4+8
268y2 = -2x8+8x4+8
77y2 + x4y = x
713y2 + y = x7-2
715y2 + x4y = 7x
721y2 + x4y = -2x8+7x
416y2 + (x4+x)y = x7-2x6-3x5+5x4-2x3-4x2+5x-2

Genus 4 bad only at one small prime

|D|curve
223y2 + x5y = -x8+x6+x4-3x2+2
223y2 + x5y = x8+x6-x4-3x2-2
237y2 = x9+3x5+2x
237y2 = x9-3x5+2x
240y2 = -x9+x
240y2 = -x9-x
242y2 = x9-x8+x-1
242y2 = -x9-4x7-4x5-x
242y2 = -x9-2x7+2x5+2x3-x
242y2 = -x9-4x5+4x3-x
242y2 = -x9+x8-x+1
243y2 = x9-x8-2x5+2x4+2x-2
243y2 = -x9+x8+2x5-2x4-2x+2
244y2 = -x9-2x5+x
244y2 = x9-x8+4x5-4x4-4x3+4x2+x-1
244y2 = x9-x8-4x7+4x6+4x5-4x4+x-1
244y2 = -x9+x8-4x5+4x4+4x3-4x2-x+1
244y2 = -x9+x8+4x7-4x6-4x5+4x4-x+1
245y2 = -x10-x8+2x6+2x4-2x2-2
245y2 = -x9+x8+4x7-4x6-4x5+4x4+2x-2
245y2 = x10+x8-2x6-2x4+2x2+2
245y2 = -x9-x8+4x7+4x6-4x5-4x4+2x+2
245y2 = 2x9-2x8-2x5+2x4+x-1
245y2 = x10-x8-2x6+2x4+2x2-2
245y2 = -x10+x8+2x6-2x4-2x2+2
245y2 = x9+2x5+2x
245y2 = x9-2x5+2x
245y2 = -2x9+2x8+2x5-2x4-x+1
246y2 = -x10-x8-x2-1
246y2 = -x9+x8+2x5-2x4+x-1
246y2 = -x9+x8-2x5+2x4+x-1
246y2 = -x9+4x7-2x5-4x3+x
246y2 = -x9-2x7-2x3+x
246y2 = -x9-4x7-2x5+4x3+x
246y2 = x10+x8+x2+1
246y2 = -x9-x8-2x5-2x4+x+1
246y2 = -x9-x8+2x5+2x4+x+1
246y2 = -x10+x8-x2+1
247y2 = -x9+x8+2x-2
247y2 = -2x9+2x8+4x5-4x4-4x3+4x2+x-1
247y2 = -x9+4x7-4x5+2x
247y2 = -x9-4x7-4x5+2x
247y2 = -2x9-2x8+4x5+4x4-4x3-4x2+x+1
247y2 = -x9-x8+2x+2
247y2 = x9-x8-4x5+4x4+2x-2
247y2 = -x9+x8+4x5-4x4-2x+2
248y2 = -x9+x8+4x7-4x6+2x5-2x4-4x3+4x2+x-1
248y2 = -x9+x8+4x7-4x6-2x5+2x4-4x3+4x2+x-1
248y2 = -x9+x8+2x7-2x6-4x3+4x2+4x-4
248y2 = -x9+x8-4x7+4x6+2x5-2x4+4x3-4x2+x-1
248y2 = -x9+x8-4x7+4x6-2x5+2x4+4x3-4x2+x-1
248y2 = -x9-x8+4x7+4x6-2x5-2x4-4x3-4x2+x+1
248y2 = -x9-x8+4x7+4x6+2x5+2x4-4x3-4x2+x+1
248y2 = -x9-x8-4x7-4x6-2x5-2x4+4x3+4x2+x+1
248y2 = -x9-x8-4x7-4x6+2x5+2x4+4x3+4x2+x+1
248y2 = -x9-x8+2x7+2x6-4x3-4x2+4x+4
249y2 = -x10-x8+4x6+4x4-2x2-2
249y2 = -x10+x8+2x2-2
249y2 = -2x9+2x8+x-1
249y2 = -x9+2x
249y2 = -2x9-2x8+x+1
249y2 = x10-x8-2x2+2
249y2 = x10+x8-4x6-4x4+2x2+2
249y2 = 2x9-2x8-4x5+4x4+x-1
249y2 = x10-x8-4x6+4x4+2x2-2
249y2 = x10+x8-2x2-2
249y2 = -x10+x8+4x6-4x4-2x2+2
249y2 = -x10-x8+2x2+2
249y2 = x9+4x5+2x
249y2 = x9+2x
249y2 = x9-4x5+2x
249y2 = -2x9+2x8+4x5-4x4-x+1
250y2 = -x10+x8-2x6+2x4+x2-1
250y2 = -x9+x8+2x7-2x6+2x3-2x2+x-1
250y2 = -x9+x8-2x7+2x6-2x3+2x2+x-1
250y2 = x10-x8+2x6-2x4-x2+1
250y2 = -x9-x8-2x7-2x6-2x3-2x2+x+1
250y2 = -x9-x8+2x7+2x6+2x3+2x2+x+1
250y2 = x10+x8-2x6-2x4-x2-1
250y2 = -x10-x8+2x6+2x4+x2+1
251y2 = -x9-4x8-4x7-2x5-4x4-4x3-x
251y2 = x9+4x8+4x7+2x5+4x4+4x3+x
252y2 = -x10-x9+2x8+2x7-4x4-4x3+4x2+4x
252y2 = -x9+2x7-4x3+4x
252y2 = -x9-2x7+4x3+4x
252y2 = x10-x9-2x8+2x7+4x4-4x3-4x2+4x
252y2 + (x5+x4+x+1)y = -x10-3x9-x8+3x7+x6-x5+x4-3x3-x2+2x-1
252y2 + (x5+x4+x+1)y = -x9-4x8-x7+3x6-x5+3x4+x3-4x2
252y2 = x9+2x7+4x5+4x3+4x
252y2 = x9-2x7+4x5-4x3+4x
256y2 = -x10-x8+2x6-2x4+3x2-1
256y2 = x10-3x8+2x6-2x4+x2+1
256y2 = -x10-3x8-2x6-2x4-x2+1
256y2 = -x10+x8+2x6+2x4+3x2+1
256y2 = -x9-4x7+2x5-4x3-x
256y2 = -x9+4x7+2x5+4x3-x
258y2 = -x9+x8-4x5+4x4+4x-4
258y2 = -x9+4x
258y2 = -2x9+2x
258y2 = -x9-x8-4x5-4x4+4x+4
258y2 = -2x9-2x
258y2 = x9+4x
260y2 = -x10+x8-4x6+4x4+4x2-4
260y2 = x10-x8+4x6-4x4-4x2+4
260y2 = 2x9-2x8+2x-2
260y2 = x10+x8+4x6+4x4-4x2-4
260y2 = -x10-x8-4x6-4x4+4x2+4
260y2 = -2x9-4x7+4x5+4x3-2x
260y2 = -2x9+2x8-2x+2
261y2 = 2x9-2x8-4x5+4x4+4x-4
261y2 = -2x9+2x8+4x5-4x4-4x+4
262y2 = -x10-x9-4x6-4x5+4x2+4x
262y2 = -x9+4x5+4x
262y2 = -x9-4x5+4x
262y2 = -2x9-4x5+2x
262y2 = x10-x9+4x6-4x5-4x2+4x
262y2 = x9-x8+4x7-4x6-2x5+2x4+4x3-4x2+x-1
262y2 = x9-x8-4x7+4x6-2x5+2x4-4x3+4x2+x-1
262y2 = -x9+x8+4x7-4x6+2x5-2x4+4x3-4x2-x+1
262y2 = -x9+x8-4x7+4x6+2x5-2x4-4x3+4x2-x+1
263y2 = -2x10-2x8+4x6+4x4-4x2-4
263y2 = 2x10+2x8-4x6-4x4+4x2+4
263y2 = 4x9-4x8-4x5+4x4+2x-2
263y2 = 2x10-2x8-4x6+4x4+4x2-4
263y2 = -2x10+2x8+4x6-4x4-4x2+4
263y2 = 2x9+4x5+4x
263y2 = 2x9-4x5+4x
263y2 = -4x9+4x8+4x5-4x4-2x+2
264y2 = -2x10-2x8-2x2-2
264y2 = -2x9+2x8+4x5-4x4+2x-2
264y2 = -2x9+2x8-4x5+4x4+2x-2
264y2 = -2x9-4x7-4x3+2x
264y2 = 2x10+2x8+2x2+2
264y2 = -2x9-2x8-4x5-4x4+2x+2
264y2 = -2x9-2x8+4x5+4x4+2x+2
264y2 = -2x10+2x8-2x2+2
265y2 = -2x9+2x8+4x-4
265y2 = -2x9-2x8+4x+4
267y2 = -2x10+2x8+4x2-4
267y2 = -4x9+4x8+2x-2
267y2 = -2x9+4x
267y2 = -4x9-4x8+2x+2
267y2 = 2x10-2x8-4x2+4
267y2 = 2x10+2x8-4x2-4
267y2 = -2x10-2x8+4x2+4
267y2 = 2x9+4x
268y2 = -2x10+2x8-4x6+4x4+2x2-2
268y2 = -2x9+2x8+4x7-4x6+4x3-4x2+2x-2
268y2 = -2x9+2x8-4x7+4x6-4x3+4x2+2x-2
268y2 = 2x10-2x8+4x6-4x4-2x2+2
268y2 = -2x9-2x8-4x7-4x6-4x3-4x2+2x+2
268y2 = -2x9-2x8+4x7+4x6+4x3+4x2+2x+2
268y2 = 2x10+2x8-4x6-4x4-2x2-2
268y2 = -2x10-2x8+4x6+4x4+2x2+2
318y2 + x5y = x
320y2 + y = -x9-3x6-3x3-1
324y2 + y = -x9+3x6-3x3
326y2 + y = -x9-1
328y2 + x5y = -3x
334y2 + y = -x9+2
336y2 + x5y = -x10+3x
344y2 + y = -3x9+2
514y2 + (x5+1)y = -x5+1
514y2 + (x5+1)y = -2x5+1
519y2 + (x5+1)y = -3x5+1
474y2 + (x5+x3+1)y = -x9+x7+x6-2x5-2x4-2x3+x2+2x+1

Genus 5 bad only at one small prime

|D|curve
230y2 + (x6+x4+x2+1)y = -x10-x8-x6-x4
250y2 = -x11-x9-x3-x
250y2 = -x11+x9-x3+x
251y2 = x11-x10+x9-x8-2x7+2x6-2x5+2x4+2x3-2x2+2x-2
251y2 = x11+x9-2x7-2x5+2x3+2x
251y2 = -x11+x10-x9+x8+2x7-2x6+2x5-2x4-2x3+2x2-2x+2
251y2 = -x11+x9+2x7-2x5-2x3+2x
253y2 = 2x11-2x10+2x9-2x8-2x7+2x6-2x5+2x4+x3-x2+x-1
253y2 = -2x11+2x10-2x9+2x8+2x7-2x6+2x5-2x4-x3+x2-x+1
254y2 = x11-x10+x9-x8+x3-x2+x-1
254y2 = x11-x9-2x7+2x5-x3+x
254y2 = -x11+x10-x9+x8-x3+x2-x+1
254y2 = -x11-x9+2x7+2x5+x3+x
255y2 = x11-x9-2x3+2x
255y2 = -x11-x9+2x3+2x
255y2 = -x11+x10-x9+x8+2x3-2x2+2x-2
255y2 = -x11-x10-x9-x8+2x3+2x2+2x+2
257y2 = -2x11+2x10-2x9+2x8+x3-x2+x-1
257y2 = -2x11-2x10-2x9-2x8+x3+x2+x+1
258y2 = -x11+x10-x9+x8+2x7-2x6+2x5-2x4+x3-x2+x-1
258y2 = -x11+x10-x9+x8-2x7+2x6-2x5+2x4+x3-x2+x-1
258y2 = -x11-x10-x9-x8-2x7-2x6-2x5-2x4+x3+x2+x+1
258y2 = -x11-x10-x9-x8+2x7+2x6+2x5+2x4+x3+x2+x+1
259y2 = x12+x8-2x4-2
259y2 = -x12-x8+2x4+2
259y2 = -x12+x8+2x4-2
259y2 = x12-x8-2x4+2
260y2 = -x11-x9+2x7-2x5+3x3-x
260y2 = -x12+x8-x4+1
260y2 = -x12-x8-x4-1
260y2 = -x11-3x9-2x7-2x5-x3+x
260y2 = x12+x8+x4+1
264y2 = -x12-3x8-x4+1
264y2 = -x12+x8+3x4+1
264y2 = -x12-x8+3x4-1
264y2 = x12-3x8+x4+1
266y2 = -x11+x10+x9-x8+2x7-2x6+2x5-2x4+3x3-3x2+x-1
266y2 = -x11+x10-3x9+3x8-2x7+2x6-2x5+2x4-x3+x2+x-1
266y2 = -x11-x10-3x9-3x8-2x7-2x6-2x5-2x4-x3-x2+x+1
266y2 = -x11-x10+x9+x8+2x7+2x6+2x5+2x4+3x3+3x2+x+1
272y2 = -2x11-2x9-2x3-2x
272y2 = -2x11+2x9-2x3+2x
274y2 = -x12+2x10+x8+x4-2x2-1
276y2 = 2x11-2x10+2x9-2x8+2x3-2x2+2x-2
276y2 = -2x11+2x10-2x9+2x8-2x3+2x2-2x+2
282y2 = -2x12+2x8-2x4+2
282y2 = -2x12-2x8-2x4-2
282y2 = 2x12+2x8+2x4+2
323y2 + (x6+1)y = x9+x6-1
329y2 + (x6+1)y = -2x6+x3-1
1111y2 + x6y = x
1121y2 + y = -x11-3

Format of the data files

The uncompressed files are plain text, one line for each curve, with 3g+7 space-separated numbers

R  D  hg+1  ...  h1  h0  f2g+2  ...  f1  f0
D is the discriminant, R is the reduced discriminant (product of prime divisors of D to exponent 1), and the curve is given by the standard hyperelliptic equation of genus g
y2 + (hg+1xg+1+...+h1x+h0)y = f2g+2x2g+2+...+f1x+f0.
For example, the first line in the genus 2 table
2 -512 1 1 1 1 0 0 -1 -1 -1 -1 0
represents the curve
y2 + (x3+x2+x+1)y = -x4-x3-x2-x
of discriminant -512=-29 and reduced discriminant 2.

 


Questions/comments to Tim Dokchitser