Elementary 3-descent with a 3-isogeny

@article{Cohen2009Elementary3W,
  title={Elementary 3-descent with a 3-isogeny},
  author={Henri Cohen and Fabien Pazuki},
  journal={Acta Arithmetica},
  year={2009},
  volume={140},
  pages={369-404}
}
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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18 Citations
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