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MAGMA Computational Algebra System

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Next: Elliptic Curves over Finite Up: Elliptic Curves Previous: Elliptic Curves over the

Elliptic Curves over Number Fields


New Features:

  • The CasselsTatePairing between elements in the 2-Selmer group of an elliptic curve is now also implemented for curves over a number field. This uses the same algorithm as for curves over Q. The most expensive step is to solve a conic defined over the number field.
  • A new implementation of the method known as ``elliptic curve Chabauty'' developed by Nils Bruin is included. This uses a combination of Mordell-Weil sieving and Chabauty's method.



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