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arxiv: math/0703578 · v1 · submitted 2007-03-20 · 🧮 math.NT

A complete diophantine characterization of the rational torsion of an elliptic curve

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keywords characterizationcompletecurvediophantineellipticrationaltorsionequations
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We give a complete characterization for the rational torsion of an elliptic curve in terms of the (non-)existence of integral solutions of a system of diophantine equations.

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