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Galois theory, discriminants and torsion subgroup of elliptic curves
Garcia-Selfa I.
Gonzalez-Jimenez E.
Tornero J.M.
Journal of Pure and Applied Algebra
Doi 10.1016/j.jpaa.2009.11.001
Volumen 214 páginas 1340 - 1346
2010-08-01
Citas: 3
Abstract
We 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. © 2009 Elsevier B.V. All rights reserved.
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