On the torsion of rational elliptic curves over quartic fields
Number Theory
2019-03-20 v3 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1606.00645,
title = {On the torsion of rational elliptic curves over quartic fields},
author = {Enrique Gonzalez-Jimenez and Alvaro Lozano-Robledo},
journal= {arXiv preprint arXiv:1606.00645},
year = {2019}
}
Comments
In this new version we fix some errors in Table 5