CM newforms with rational coefficients

authored by
Matthias Schütt
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.

External Organisation(s)
University of Copenhagen
Type
Article
Journal
Ramanujan Journal
Volume
19
Pages
187-205
No. of pages
19
ISSN
1382-4090
Publication date
07.2009
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Algebra and Number Theory
Electronic version(s)
https://doi.org/10.1007/s11139-008-9147-8 (Access: Unknown)