CM newforms with rational coefficients

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We classify newforms with rational Fourier coefficients and complex multiplication for fixed weight up to twisting. Under the extended Riemann hypothesis for odd real Dirichlet characters, these newforms are finite in number. We produce tables for weights 3 and 4, where finiteness holds unconditionally.
17 pages, 3 tables; final version: Rem 7.2, Thm 9.2 added, references updated, minor changes

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Number Theory, Algebraic Geometry, 11F11, 11F30 (Primary) 11F23, 14J28, 14J32 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/170453

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511228
 http://arxiv.org/abs/math/0511228

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arXiv