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Article
Thue equations and torsion groups of elliptic curves
(Elsevier, 2009-02)
A new characterization of rational torsion subgroups of elliptic curves is found, for points of order greater than 4, through the existence of solution for systems of Thue equations.
Article
A complete diophantine characterization of the rational torsion of an elliptic curve
(Springer, 2012-01)
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.