Henri Cohen, Fabien Pazuki
Abstract
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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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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.
Key concepts: Isogeny, Mathematics, Computation, Descent (aeronautics), Elliptic curve, Interpretation (philosophy), Supersingular elliptic curve, Rank (graph theory)