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Modular symbols for 1(N) and elliptic curves with everywhere good reduction

Published online by Cambridge University Press:  24 October 2008

J. E. Cremona
J. E. Cremona
Affiliation:
Department of Mathematics, University of Exeter, North Park Road, Exeter EX4 4QE
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Abstract

The modular symbols method developed by the author in 4 for the computation of cusp forms for 0(N) and related elliptic curves is here extended to 1(N). Two applications are given: the verification of a conjecture of Stevens 14 on modular curves parametrized by 1(N); and the study of certain elliptic curves with everywhere good reduction over real quadratic fields of prime discriminant, introduced by Shimura and related to Pinch's thesis 10.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 111 , Issue 2 , March 1992 , pp. 199 - 218
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

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