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Computing the rank of elliptic curves over real quadratic number fields of class number 1 |
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| Authors: | J. E. Cremona P. Serf. |
| Affiliation: | Department of Mathematics, University of Exeter, Laver Building, North Park Road, Exeter EX4 4QE, U.K. ; Fachbereich 9 Mathematik, Universität des Saarlandes, Postfach 151150, D-66041 Saarbrücken, Germany |
| Abstract: | In this paper we describe an algorithm for computing the rank of an elliptic curve defined over a real quadratic field of class number one. This algorithm extends the one originally described by Birch and Swinnerton-Dyer for curves over  . Several examples are included. |
| Keywords: | Elliptic curves Mordell-Weil real quadratic fields |
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