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Conics - a Poor Man's Elliptic Curves

Franz Lemmermeyer
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Abstract

The aim of this article is to show that the arithmetic of Pell conics admits a description which is completely analogous to that of elliptic curves: there is a theory of 2-descent with associated Selmer and Tate-Shafarevich groups, and there should be an analog of the conjecture of Birch and Swinnerton-Dyer.

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Franz Lemmermeyer. 2003-11-18. Conics - a Poor Man's Elliptic Curves. https://arxiv.org/abs/math/0311306

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