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arXiv · 1606.00645

On the torsion of rational elliptic curves over quartic fields

Enrique Gonzalez-Jimenez·Alvaro Lozano-Robledo
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Abstract

Let E be an elliptic curve defined over Q and let G = E(Q)_tors be the associated torsion subgroup. We study, for a given G, which possible groups G <= H could appear such that H=E(K)_tors, for [K:Q]=4 and H is one of the possible torsion structures that occur infinitely often as torsion structures of elliptic curves defined over quartic number fields.

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Enrique Gonzalez-Jimenez, Alvaro Lozano-Robledo. 2016-06-02. On the torsion of rational elliptic curves over quartic fields. https://doi.org/10.1090/mcom/3235

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