The LMS JCM, (5) 7-17. Published 17 Apr 2002. First received 29 Mar 2000.


Computing the rank of elliptic curves over number fields

Denis Simon



Abstract: This paper describes an algorithm of 2-descent for computing the rank of an elliptic curve without 2-torsion, defined over a general number field. This allows one, in practice, to deal with fields of degree from 1 to 5.

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