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Critical and ramification points of the modular parametrization of an elliptic curve

Christophe Delaunay (2005)

Journal de Théorie des Nombres de Bordeaux

Let E be an elliptic curve defined over with conductor N and denote by ϕ the modular parametrization: ϕ : X 0 ( N ) E ( ) . In this paper, we are concerned with the critical and ramification points of ϕ . In particular, we explain how we can obtain a more or less experimental study of these points.

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