Degrees of Parametrizations of Elliptic
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Shuzo Takahashi
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Article
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2001
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Elsevier Science
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English
โ 146 KB
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