On octahedral extensions of and quadratic -curves
Journal de Théorie des Nombres de Bordeaux, Tome 15 (2003) no. 1, pp. 125-131.

On donne une condition nécessaire pour qu’une représentation surjective Gal( ¯/) PGL 2 (𝔽 3 ) provienne de la 3-torsion d’une -courbe. Nous étudions plus particulièrement le cas des -courbes quadratiques.

We give a necessary condition for a surjective representation Gal( ¯/) PGL 2 (𝔽 3 ) to arise from the 3-torsion of a -curve. We pay a special attention to the case of quadratic -curves.

@article{JTNB_2003__15_1_125_0,
     author = {Fern\'andez, Julio},
     title = {On octahedral extensions of $\mathbb {Q}$ and quadratic $\mathbb {Q}$-curves},
     journal = {Journal de Th\'eorie des Nombres de Bordeaux},
     pages = {125--131},
     publisher = {Universit\'e Bordeaux I},
     volume = {15},
     number = {1},
     year = {2003},
     doi = {10.5802/jtnb.391},
     zbl = {1049.11117},
     mrnumber = {2019005},
     language = {en},
     url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.391/}
}
Julio Fernández. On octahedral extensions of $\mathbb {Q}$ and quadratic $\mathbb {Q}$-curves. Journal de Théorie des Nombres de Bordeaux, Tome 15 (2003) no. 1, pp. 125-131. doi : 10.5802/jtnb.391. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.391/

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