# Galois theory, discriminants and torsion subgroup of elliptic curves

@article{GarcaSelfa2010GaloisTD, 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}, journal={Journal of Pure and Applied Algebra}, year={2010}, volume={214}, pages={1340-1346} }

## 7 Citations

Arithmetic Algebraic Geometry

- Mathematics
- 2015

[3] , Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero, Math. Finiteness results for modular curves of genus at least 2, Amer.

Torsion of rational elliptic curves over quadratic fields

- Mathematics
- 2014

Let $$E$$E be an elliptic curve defined over $${\mathbb {Q}}$$Q. We study the relationship between the torsion subgroup $$E({\mathbb {Q}})_{{{\mathrm{tors}}}}$$E(Q)tors and the torsion subgroup…

On the ubiquity of trivial torsion on elliptic curves

- Mathematics
- 2010

The purpose of this paper is to give a down-to-earth proof of the well-known fact that a randomly chosen elliptic curve over the rationals is most likely to have trivial torsion.

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© Publications mathématiques de l’I.H.É.S., 1977, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http://…