2016-06-072016-06-072010-08García Selfa, I., González Jiménez, E. y Tornero Sánchez, J.M. (2010). Galois Theory, discriminants and torsion subgroups of elliptic curves. Journal of Pure and Applied Algebra, 214 (8), 1340-1346.0022-4049http://hdl.handle.net/11441/41955We find a tight relationship between the torsion subgroup and the image of the mod 2 Galois representation associated to an elliptic curve defined over the rationals. This is shown using some characterizations for the squareness of the discriminant of the elliptic curve.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Elliptic curvesCubic equationsTorsion subgroupGalois theoryinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttp://dx.doi.org/10.1016/j.jpaa.2009.11.001https://idus.us.es/xmlui/handle/11441/41955