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Construction of high-rank elliptic curves with a nontrivial torsion point
Mathematics of Computation
We construct a family of infinitely many elliptic curves over Q with a nontrivial rational 2-torsion point and with rank ≥ 6, which is parametrized by the rational points of an elliptic curve of rank ≥ 1.doi:10.1090/s0025-5718-97-00779-5 fatcat:ywxoda6tuvdy5jpdilbb2n65ya