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math.NT2007
On the discriminant of elliptic curves with non-trivial torsion
I. Garcia-Selfa, Jose M. Tornero
For those elliptic curves defined over the rational with non--trivial torsion subgroup, we find a tight relationship between the torsion subgroup itself and a Galois group naturall…
math.NT2007★ 1 cited
A complete diophantine characterization of the rational torsion of an elliptic curve
Irene Garcia-Selfa, Jose M. Tornero
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.