2 citations · 2 across the 1 of their papers we have counts for
3 papers
math.NT2020
Sporadic Cubic Torsion
Maarten Derickx, Anastassia Etropolski, Mark van Hoeij +2
Let be a number field, and let be an elliptic curve over . The Mordell--Weil theorem asserts that the -rational points of form a finitely generated abeli…
math.NT2018
Chabauty-Coleman experiments for genus 3 hyperelliptic curves
Jennifer S. Balakrishnan, Francesca Bianchi, Victoria Cantoral-Farfán +2
We describe a computation of rational points on genus 3 hyperelliptic curves defined over whose Jacobians have Mordell-Weil rank 1. Using the method of Chabauty an…
math.NT2015★ 2 cited
Local-Global principles for certain images of Galois representations
Anastassia Etropolski
Let be a number field and let be an elliptic curve whose mod Galois representation locally has image contained in a group , up to conjugacy. We classify the pos…