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An elliptic curve is an algebraic curve of genus one with some additional properties. Questions with this tag will often have the top-level tags nt.number-theory or ag.algebraic-geometry. Note also the tag arithmetic-geometry as well as some related tags such as rational-points, abelian-varieties, heights. Please do not use this tag for questions related to ellipses; instead use conic-sections.
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Serre’s comment on Hurwitz: connecting FLT to points of finite order on elliptic curves
Serre's Bourbaki article cites:
Joseph Oesterlé, Nouvelles approches du « théorème » de Fermat,
Séminaire Bourbaki : volume 1987/88, exposés 686-699, Astérisque, no. 161-162 (1988), Talk no. 694, 22 …