Galois Theory, discriminants and torsion subgroups of elliptic curves
classification
🧮 math.NT
keywords
ellipticcurvegaloistorsionassociatedcharacterizationscurvesdefined
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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.
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