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Galois action on some ideal section points of the abelian variety associated with a modular form and its application

Published online by Cambridge University Press:  22 January 2016

Fumiyuki Momose
Fumiyuki Momose*
Affiliation:
Department of Mathematics, Faculty of Science, University of Tokyo, Hongo, Tokyo 113, Japan
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For an integer N let X1(N) be the modular curve defined over Q which corresponds to the modular group Γ1(N) To each primitive cusp form f ═ Σ amqm, a1═1, (Γ normalized new form in the sense of [1]) on Γ1(N) of weight 2, there corresponds a factor Jf of the jacobian variety of X1(N) (cf. Shimura [19]).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 91 , September 1983 , pp. 19 - 36
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1983

References

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