Torsion of elliptic curves over cyclic cubic fields

Derickx, Maarten; Najman, Filip

doi:10.1090/mcom/3408

Torsion of elliptic curves over cyclic cubic fields
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Math. Comp. 88 (2019), 2443-2459 Request permission

Abstract:

We determine all the possible torsion groups of elliptic curves over cyclic cubic fields, over non-cyclic totally real cubic fields, and over complex cubic fields.

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