no. 2
Points rationnels de la courbe modulaire X 0 (169)
Annales de l'Institut Fourier, Tome 30 (1980) no. 2, pp. 17-27

On démontre que les seuls points rationnels sur Q de la courbe X 0 (169) sont les pointes.

En conséquence, il n’existe pas de courbe elliptique définie sur Q possédant un sous-groupe cyclique rationnel d’ordre 13 2 .

We prove that the only rational point of the curve X 0 (169) are the cusps.

Consequently, there does not exist any elliptic curve defined over Q which possesses a rational cyclic subgroup of order 13 2 .

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     title = {Points rationnels de la courbe modulaire $X_0(169)$},
     journal = {Annales de l'Institut Fourier},
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Mestre, Jean-François. Points rationnels de la courbe modulaire $X_0(169)$. Annales de l'Institut Fourier, Tome 30 (1980) no. 2, pp. 17-27. doi: 10.5802/aif.782

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