no. 3
Computing modular degrees using L-functions
Journal de théorie des nombres de Bordeaux, Tome 15 (2003) no. 3, pp. 673-682

We give an algorithm to compute the modular degree of an elliptic curve defined over ℚ. 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.

Nous donnons un algorithme pour calculer le degré modulaire d’une courbe elliptique définie sur ℚ. Notre méthode est basée sur le calcul de la valeur spéciale en s=2 du carré symétrique de la fonction L attachée à la courbe elliptique. Cette méthode est assez efficace et facile à implémenter.

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     author = {Delaunay, Christophe},
     title = {Computing modular degrees using $L$-functions},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     pages = {673--682},
     year = {2003},
     publisher = {Universit\'e Bordeaux I},
     volume = {15},
     number = {3},
     mrnumber = {2142230},
     zbl = {1070.11021},
     language = {en},
     url = {https://www.numdam.org/item/JTNB_2003__15_3_673_0/}
}
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Delaunay, Christophe. Computing modular degrees using $L$-functions. Journal de théorie des nombres de Bordeaux, Tome 15 (2003) no. 3, pp. 673-682. https://www.numdam.org/item/JTNB_2003__15_3_673_0/

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