Torsion of rational elliptic curves over cubic fields
Number Theory
2017-01-05 v2 Algebraic Geometry
Abstract
Let E be an elliptic curve defined over Q. We study the relationship between the torsion subgroup E(Q)_tors and the torsion subgroup E(K)_tors, where K is a cubic number field. In particular, We study the number of cubic number fields K such that E(Q)_tors\neq E(K)_tors.
Keywords
Cite
@article{arxiv.1411.3467,
title = {Torsion of rational elliptic curves over cubic fields},
author = {Enrique Gonzalez-Jimenez and Filip Najman and Jose M. Tornero},
journal= {arXiv preprint arXiv:1411.3467},
year = {2017}
}
Comments
Rocky Mountain Journal of Mathematica, to appear