Jia Shi

collaborators

2 papers

math.NT2026

Abelian surfaces of small conductor from genus 3 double covers

Raymond van Bommel, Céline Maistret, Jia Shi +1

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 c…

math.NT2025

Lifting $L$ -polynomials of genus 2 curves

Jia Shi

Let $C$ be a genus $2$ curve over $Q$ . Harvey and Sutherland's implementation of Harvey's average polynomial-time algorithm computes the $mod p$ reduction of the numer…

Abelian surfaces of small conductor from genus 3 double covers

Lifting L-polynomials of genus 2 curves

Lifting $L$ -polynomials of genus 2 curves