# Fifteenth Algorithmic Number Theory Symposium, ANTS-XV,

University of Bristol

August 8 - 12, 2022

## Accepted papers ANTS XV

- Nikola Adžaga, Shiva Chidambaram, Timo Keller and Oana Padurariu. Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings
- Samuele Anni, Eran Assaf and Elisa Lorenzo García. On smooth plane models for modular curves of Shimura type
- Eran Assaf, Dan Fretwell, Colin Ingalls, Adam Logan, Spencer Secord and John Voight. Definite Orthogonal Modular Forms: Computations, Excursions and Discoveries
- Daniel J. Bernstein. Fast norm computation in smooth-degree Abelian number fields
- Nils Bruin and Eugene Filatov. Twists of the Burkhardt Quartic Threefold
- Wouter Castryck, Marc Houben, Frederik Vercauteren and Benjamin Wesolowski. On the Decisional Diffie-Hellman Problem for Class Group Actions on Oriented Elliptic Curves
- Antoine Comeau-Lapointe, Chantal David, Matilde Lalin and Wanlin Li. On the vanishing of twisted L-functions of elliptic curves over function fields
- Edgar Costa, David Harvey and Andrew V. Sutherland. Counting points on smooth plane quartics
- Alex Cowan. Computing newforms using supersingular isogeny graphs
- Tímea Csahók, Peter Kutas, Mickaël Montessinos and Gergely Zábrádi. Explicit isomorphisms of quaternion algebras over quadratic global fields
- Juanita Duque-Rosero and John Voight Triangular modular curves of small genus
- Noam Elkies and Gaurav Goel On powerful integers expressible as sums of two coprime fourth powers
- Andreas-Stephan Elsenhans and Jörg Jahnel 2-adic point counting on K3 surfaces
- Tom Fisher On binary quartics and the Cassels-Tate pairing
- David Harvey and Markus Hittmeir A deterministic algorithm for finding r-power divisors
- Daniel Hast Explicit two-cover descent for genus 2 curves
- Harald Helfgott and Lola Thompson Summing mu(n): a faster elementary algorithm
- Marc Houben and Marco Streng Generalized Class Polynomials
- Catherine Hsu, Preston Wake and Carl Wang-Erickson Explicit Non-Gorenstein R=T via rank bounds II: Computation
- Kiran S. Kedlaya The relative class number one problem for function fields, I
- Madeleine Kyng Computing zeta functions of algebraic curves using Harvey's trace formula
- David Lubicz and Damien Robert Fast change of level and applications to isogenies
- Aurel Page and Pascal Molin Computing groups of Hecke characters
- Francois Morain Modular curves over number fields and ECM
- Andrei Seymour-Howell Rigorous computation of Maass cusp forms of squarefree level
- Jonathan Webster and Andrew Shallue Tabulating Carmichael Numbers n = Pqr with small $P$