Torsion growth over cubic fields of rational elliptic curves with complex multiplication
Number Theory
2021-02-09 v1 Algebraic Geometry
Abstract
This article is a contribution to the project of classifying the torsion growth of elliptic curve upon base-change. In this article we treat the case of elliptic curve defined over the rationals with complex multiplication. For this particular case, we give a description of the possible torsion growth over cubic fields and a completely explicit description of this growth in terms of some invariants attached to a given elliptic curve.
Keywords
Cite
@article{arxiv.1909.00634,
title = {Torsion growth over cubic fields of rational elliptic curves with complex multiplication},
author = {Enrique González-Jiménez},
journal= {arXiv preprint arXiv:1909.00634},
year = {2021}
}