Non-existence of elliptic curves with everywhere good reduction over some real quadratic fields

Shun'ichi Yokoyama; Yu Shimasaki

Non-existence of elliptic curves with everywhere good reduction over some real quadratic fields

Number Theory 2011-08-05 v2

Authors: Shun'ichi Yokoyama , Yu Shimasaki

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Abstract

We prove the non-existence of elliptic curves having good reduction everywhere over some real quadratic fields.

Keywords

elliptic curves good reduction real quadratic fields non-existence arithmetic geometry

Cite

@article{arxiv.1107.4648,
  title  = {Non-existence of elliptic curves with everywhere good reduction over some real quadratic fields},
  author = {Shun'ichi Yokoyama and Yu Shimasaki},
  journal= {arXiv preprint arXiv:1107.4648},
  year   = {2011}
}