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Torsion of elliptic curves over cyclic cubic fields

Number Theory 2024-10-10 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.1804.06777,
  title  = {Torsion of elliptic curves over cyclic cubic fields},
  author = {Maarten Derickx and Filip Najman},
  journal= {arXiv preprint arXiv:1804.06777},
  year   = {2024}
}

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14 pages