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Computing modular degrees using L -functions

Christophe Delaunay — 2003

Journal de théorie des nombres de Bordeaux

We give an algorithm to compute the modular degree of an elliptic curve defined over . Our method is based on the computation of the special value at s = 2 of the symmetric square of the L -function attached to the elliptic curve. This method is quite efficient and easy to implement.

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