4 papers · 1 filter
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…
On the factorization of twisted -values and -descents over -number fields
Céline Maistret, Himanshu Shukla
We investigate the Galois module structure of the Tate-Shafarevich group of elliptic curves. For a Dirichlet character , we give an explicit conjecture relating the ideal factor…
Conductor exponents for families of hyperelliptic curves
Martin Azon, Mar Curcó-Iranzo, Maleeha Khawaja +2
We compute the conductor exponents at odd places using the machinery of cluster pictures of curves for three infinite families of hyperelliptic curves. These are families of Frey h…
Computing Euler factors of genus 2 curves at odd primes of almost good reduction
Céline Maistret, Andrew V. Sutherland
We present an efficient algorithm to compute the Euler factor of a genus 2 curve C/Q at an odd prime p that is of bad reduction for C but of good reduction for the Jacobian of C (a…