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Local diophantine properties of Shimura curves

✍ Scribed by Bruce W. Jordan; Ron A. Livne


Publisher
Springer
Year
1985
Tongue
English
Weight
729 KB
Volume
270
Category
Article
ISSN
0025-5831

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Degrees of Parametrizations of Elliptic
✍ Shuzo Takahashi πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 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