On the discriminant of elliptic curves with non-trivial torsion
classification
🧮 math.NT
keywords
torsioncurvesellipticsubgrouparisingcurvedefineddiscriminant
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For 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.
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