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arXiv:0707.1617 [math.NT]AbstractReferencesReviewsResources

Computation of the cover of Shimura curves $X_0(2) \to X(1)$ for the cyclic cubic field of discriminant 13^2

Emmanuel Hallouin

Published 2007-07-11Version 1

We compute the canonical model of the cover of Shimura curves $X_0(2) \to X(1)$ for the cubic field of discriminant 13^2 described at the end of Elkies' paper "Shimura curves for level 3 subgroups of the (2,3,7) triangle group". Last, we list the coordinates of some rational CM points on X(1).

Categories: math.NT, math.AG
Subjects: 11G18, 14G35, 11G15
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