Galois theory, discriminants and torsion subgroup of elliptic curves

Abstract

We find a tight relationship between the torsion subgroup and the image of the mod 2 Galois representation associated to an elliptic curve defined over the rationals. This is shown using some characterizations for the squareness of the discriminant of the elliptic curve. © 2009 Elsevier B.V. All rights reserved.

Cite this paper

@inproceedings{GarcaSelfa2009GaloisTD, title={Galois theory, discriminants and torsion subgroup of elliptic curves}, author={Irene Garc{\'i}a-Selfa and Enrique Gonz{\'a}lez-Jim{\'e}nez and Jos{\'e} M. Tornero}, year={2009} }