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

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

2007-03-20

arxiv.org/abs/math/0703578v1

Mathematics

Number Theory

17 pages. Submitted

Scientific paper

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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