2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134599For 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 naturally arising from the curve.Temporarily withdrawnNumber Theory11G05; 11R16On the discriminant of elliptic curves with non-trivial torsiontext