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The modular curves X0(65) and X0(91) and rational isogeny

Published online by Cambridge University Press:  24 October 2008

M. A. Kenku
M. A. Kenku
Affiliation:
University of Ibadan, Nigeria
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Extract

Let N be an integer ≥ 1. The affine modular curve Y0(N) parameterizes isomorphism classes of pairs (E; F), where E is an elliptic curve defined over ℂ, the field of complex numbers, and F is a cyclic subgroup of order N. The compacti-fication X0(N) is an algebraic curve defined over ℚ.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 87 , Issue 1 , January 1980 , pp. 15 - 20
Copyright
Copyright © Cambridge Philosophical Society 1980

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References

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