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arXiv · 1411.3467

Torsion of rational elliptic curves over cubic fields

Enrique Gonzalez-Jimenez·Filip Najman·Jose M. Tornero
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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.

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Enrique Gonzalez-Jimenez, Filip Najman, Jose M. Tornero. 2014-11-13. Torsion of rational elliptic curves over cubic fields. https://doi.org/10.1216/rmj-2016-46-6-1899

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