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On Elliptic Curves with Complex Multiplication as Factors of the Jacobians of Modular Function Fields

Published online by Cambridge University Press:  22 January 2016

Goro Shimura
Goro Shimura*
Affiliation:
Princeton University
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1. As Hecke showed, every L-function of an imaginary quadratic field K with a Grössen-character γ is the Mellin transform of a cusp form f(z) belonging to a certain congruence subgroup Γ of SL2(Z). We can normalize γ so that

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 43 , September 1971 , pp. 199 - 208
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1971

References

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