33 citations · 35 across the 7 of their papers we have counts for
7 papers · 1 filter
Rational torsion on simple genus two Jacobians
Jennifer S. Balakrishnan, Filip Najman, Ari Shnidman +1
We exhibit new subgroups of rational torsion points in geometrically simple Jacobians of genus-two curves over . The largest group, which has order 96 and invariants [2,…
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…
Murmurations for elliptic curves ordered by height
Will Sawin, Andrew V. Sutherland
He, Lee, Oliver, and Pozdnyakov~\cite{HLOP} have empirically observed that the average of the th coefficients of the -functions of elliptic curves of particular ranks in a gi…
Completely decomposable modular Jacobians
Jennifer Paulhus, Andrew V. Sutherland
We use recently developed algorithms and a new database of modular curves constructed for the L-functions and Modular Forms Database to enumerate completely decomposable modular Ja…
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…
Computing Hasse-Witt matrices of hyperelliptic curves in average polynomial time, II
David Harvey, Andrew V. Sutherland
We present an algorithm that computes the Hasse-Witt matrix of given hyperelliptic curve over Q at all primes of good reduction up to a given bound N. It is simpler and faster than…
On a theorem of Mestre and Schoof
John E. Cremona, Andrew V. Sutherland
A well known theorem of Mestre and Schoof implies that the order of an elliptic curve E over a prime field F_q can be uniquely determined by computing the orders of a few points on…