Abelian surfaces of small conductor from genus 3 double covers
arXiv:2606.09512
Abstract
We describe the construction of a database of roughly half a million abelian surfaces over Q of small conductor arising as Pryms associated to a genus 3 double cover of a genus 1 curve. Our construction uses a method that provides a degree of control over the primes of bad reduction.
20 pages; to appear in ANTS XVII