Mathematics – Number Theory
Scientific paper
2005-11-09
Mathematics
Number Theory
17 pages, 3 tables; final version: Rem 7.2, Thm 9.2 added, references updated, minor changes
Scientific paper
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.
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