33 citations · 35 across the 7 of their papers we have counts for
8 papers
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…
Generative Modeling for Mathematical Discovery
Jordan S. Ellenberg, Cristofero S. Fraser-Taliente, Thomas R. Harvey +2
We present a new implementation of the LLM-driven genetic algorithm {\it funsearch}, whose aim is to generate examples of interest to mathematicians and which has already had some…
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…