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

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dc.creatorHallouin, Emmanuel
dc.date2007-07-11
dc.date.accessioned2026-07-07T08:15:07Z
dc.date.available2026-07-07T08:15:07Z
dc.descriptionWe 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).
dc.identifierhttps://arxiv.org/abs/0707.1617
dc.identifierhttp://arxiv.org/abs/0707.1617
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133354
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11G18; 14G35; 11G15
dc.titleComputation of the cover of Shimura curves $X_0(2) \to X(1)$ for the cyclic cubic field of discriminant 13^2
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