50 citations · 143 across the 21 of their papers we have counts for
4 papers · 1 filter
Shadow lines in the arithmetic of elliptic curves
Jennifer S. Balakrishnan, Mirela Ciperiani, Jaclyn Lang +2
Let E/Q be an elliptic curve and p a rational prime of good ordinary reduction. For every imaginary quadratic field K/Q satisfying the Heegner hypothesis for E we have a correspond…
Constructing genus 3 hyperelliptic Jacobians with CM
Jennifer S. Balakrishnan, Sorina Ionica, Kristin Lauter +1
Given a sextic CM field , we give an explicit method for finding all genus 3 hyperelliptic curves defined over whose Jacobians are simple and have complex multiplic…
Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks
Jennifer S. Balakrishnan, Wei Ho, Nathan Kaplan +3
Most systematic tables of data associated to ranks of elliptic curves order the curves by conductor. Recent developments, led by work of Bhargava-Shankar studying the average sizes…
Quadratic Chabauty and rational points I: p-adic heights
Jennifer S. Balakrishnan, Netan Dogra
We give the first explicit examples beyond the Chabauty-Coleman method where Kim's nonabelian Chabauty program determines the set of rational points of a curve defined over $\mathb…