2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126040We 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.17 pages. SubmittedNumber Theory11G05; 11DxxA complete diophantine characterization of the rational torsion of an elliptic curvetext