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math.NT2024
Machine Learning Approaches to the Shafarevich-Tate Group of Elliptic Curves
Angelica Babei, Barinder S. Banwait, AJ Fong +2
We train machine learning models to predict the order of the Shafarevich-Tate group of an elliptic curve over . Building on earlier work of He, Lee, and Oliver, we show…
math.NT2024
Torsion subgroups of elliptic curves over quadratic fields and a conjecture of Granville
Barinder S. Banwait, Maarten Derickx
We study the problem of determining the groups that can arise as the torsion subgroup of an elliptic curve over a fixed quadratic field, building on work of Kamienny-Najman, Krumm,…