Rational points on {$X\sb 0\sp +(p)$}
Galbraith, Steven D.
Experiment. Math., Tome 8 (1999) no. 4, p. 311-318 / Harvested from Project Euclid
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We study the rational points on $X_0^+(p) = X_0(p) / W_p$. It is known that there are rational points corresponding to cusps and elliptic curves with complex multiplication (CM). We use computational methods to exhibit exceptional rational points on $X_0^+(p)$ for p = 73, 103, 137, 191 and 311. We also provide the j-invariants of the corresponding non-CM quadratic $\funnyQ$-curves.
Publié le : 1999-05-14
Classification:  modular curves,  Heegner points,  $\funnyQ$-curves,  11G18,  11F11 
@article{1047262354,
     author = {Galbraith, Steven D.},
     title = {Rational points on {$X\sb 0\sp +(p)$}},
     journal = {Experiment. Math.},
     volume = {8},
     number = {4},
     year = {1999},
     pages = { 311-318},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1047262354}
}

Galbraith, Steven D. Rational points on {$X\sb 0\sp +(p)$}. Experiment. Math., Tome 8 (1999) no. 4, pp.  311-318. http://gdmltest.u-ga.fr/item/1047262354/