no. 4
Equations of hyperelliptic modular curves
Annales de l'Institut Fourier, Tome 41 (1991) no. 4, pp. 779-795.

Nous calculons, avec une même méthode, les équations de toutes les courbes modulaires hyperelliptiques. L’outil principal est fourni par une classe de fonctions modulaires introduite par Newman en 1957. Notre méthode utilise l’action de l’involution hyperelliptique sur les pointes.

We compute, in a unified way, the equations of all hyperelliptic modular curves. The main tool is provided by a class of modular functions introduced by Newman in 1957. The method uses the action of the hyperelliptic involution on the cusps.

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     author = {Rovira, Josep Gonzalez},
     title = {Equations of hyperelliptic modular curves},
     journal = {Annales de l'Institut Fourier},
     pages = {779--795},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {41},
     number = {4},
     year = {1991},
     doi = {10.5802/aif.1273},
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Rovira, Josep Gonzalez. Equations of hyperelliptic modular curves. Annales de l'Institut Fourier, Tome 41 (1991) no. 4, pp. 779-795. doi : 10.5802/aif.1273. http://www.numdam.org/articles/10.5802/aif.1273/

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