Elementary 3-descent with a 3-isogeny

Details Elementary 3-descent with a 3-isogeny Elementary 3-descent with a 3-isogeny

2009-03-28

arxiv.org/abs/0903.4963v2

Mathematics

Number Theory

32 pages, revised version, to appear in Acta Arithmetica

Scientific paper

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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