Torsion of rational elliptic curves over cubic fields

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

arxiv: 1411.3467 · v2 · pith:A3U5TCGEnew · submitted 2014-11-13 · 🧮 math.NT · math.AG

Torsion of rational elliptic curves over cubic fields

Enrique Gonzalez-Jimenez , Filip Najman , Jose M. Tornero This is my paper

classification 🧮 math.NT math.AG

keywords torscubicnumbertorsionellipticfieldssubgroupcurve

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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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Torsion of rational elliptic curves over cubic fields

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