19 citations · 45 across the 10 of their papers we have counts for
4 papers · 1 filter
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…
Torsion groups of elliptic curves over the -extensions of
Michael Chou, Harris B. Daniels, Ivan Krijan +1
We determine, for an elliptic curve and for all , all the possible torsion groups , where is the $\mathbb…
On the torsion of rational elliptic curves over sextic fields
Harris B. Daniels, Enrique González-Jiménez
Given an elliptic curve with torsion subgroup we study what groups (up to isomorphism) can occur as the torsion subgroup of base-e…
Groups of generalized -type and applications to torsion subgroups of rational elliptic curves over infinite extensions of
Harris B. Daniels, Maarten Derickx, Jeffrey Hatley
Recently there has been much interest in studying the torsion subgroups of elliptic curves base-extended to infinite extensions of . In this paper, given a finite group…