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arxiv: 0903.4963 · v3 · pith:JVQ5PTGKnew · submitted 2009-03-28 · 🧮 math.NT

Elementary 3-descent with a 3-isogeny

classification 🧮 math.NT
keywords descentisogenycomputationscurveelementaryellipticestimateexpository
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In this expository paper, we show how to use in practice 3-descent with a 3-isogeny to find an estimate for the rank of an elliptic curve having a rational 3-torsion subgroup, and we also give a geometric interpretation of these computations.

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