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Isogenies over quadratic fields of elliptic curves with rational $j$-invariant

Number Theory 2022-03-22 v1

Abstract

We determine the possible degrees of cyclic isogenies defined over quadratic fields for non-CM elliptic curves with rational jj-invariant.

Keywords

Cite

@article{arxiv.2203.10672,
  title  = {Isogenies over quadratic fields of elliptic curves with rational $j$-invariant},
  author = {Borna Vukorepa},
  journal= {arXiv preprint arXiv:2203.10672},
  year   = {2022}
}

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