Z/2Z curve from the Fermigier 2-torsion construction (Dujella, Proc. Japan Acad. 78 (2002)), parameter s = 5*13*457 = 29705, each factor a sum of two squares (5 = 1^2+2^2, 13 = 2^2+3^2, 457 = 4^2+21^2); normalized model y^2 = x^3 + 76960218985x^2 - 93128508442464837632x, where a2 = s*17*257*593. Rank exactly 13 by 2-descent: 13 independent points, 2-Selmer upper bound 13, both with the supplied points and with no seeded points. Torsion Z/2Z, root number -1.
Commentary
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