CM newforms with rational coefficients
Number Theory
2008-10-02 v5 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0511228,
title = {CM newforms with rational coefficients},
author = {Matthias Schuett},
journal= {arXiv preprint arXiv:math/0511228},
year = {2008}
}
Comments
17 pages, 3 tables; final version: Rem 7.2, Thm 9.2 added, references updated, minor changes