Papers › Torsion subgroups of elliptic curves over quintic and sextic number fields

Torsion subgroups of elliptic curves over quintic and sextic number fields

26 Aug 2016arXiv:1608.07549links table onlyarchive 2025-07-28

Maarten Derickx, Andrew V. Sutherland

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Let Φ^∞(d) denote the set of finite abelian groups that occur infinitely often as the torsion subgroup of an elliptic curve over a number field of degree d. The sets Φ^∞(d) are known for d≤4. In this article we determine Φ^∞(5) and Φ^∞(6).

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