38 citations · 85 across the 7 of their papers we have counts for
8 papers
Torsion growth over cubic fields of rational elliptic curves with complex multiplication
Enrique González-Jiménez
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…
Explicit characterization of the torsion growth of rational elliptic curves with complex multiplication over quadratic fields
Enrique González-Jiménez
In a series of papers we classify the possible torsion structures of rational elliptic curves base-extended to number fields of a fixed degree. In this paper we turn our attention…
An algorithm for determining torsion growth of elliptic curves
Enrique González-Jiménez, Filip Najman
We present a fast algorithm that takes as input an elliptic curve defined over and an integer and returns all the number fields of degree dividing such…
Serre's constant of elliptic curves over the rationals
Harris B. Daniels, Enrique González-Jiménez
Let be an elliptic curve without complex multiplication defined over the rationals. The purpose of this article is to define a positive integer , that we call the {\it Se…
Growth of torsion groups of elliptic curves upon base change
Enrique González-Jiménez, Filip Najman
We study how the torsion of elliptic curves over number fields grows upon base change, and in particular prove various necessary conditions for torsion growth. For a number field $…
Complete classification of the torsion structures of rational elliptic curves over quintic number fields
Enrique González-Jiménez
We classify the possible torsion structures of rational elliptic curves over quintic number fields. In addition, let E be an elliptic curve defined over Q and let G = E(Q)_tors be…