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Parametrizations of Elliptic Curves by Shimura Curves and by Classical Modular Curves

โœ Scribed by Kenneth A. Ribet and Shuzo Takahashi


Book ID
123640867
Publisher
National Academy of Sciences
Year
1997
Tongue
English
Weight
768 KB
Volume
94
Category
Article
ISSN
0027-8424

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In this paper, we study some properties of parametrizations of elliptic curves by Shimura curves. Fix a square-free positive integer N and an isogeny class E of elliptic curves of conductor N defined over Q. Consider a pair (D, M ) such that N=DM and the number of prime factors of D is even. Let J b