CM newforms with rational coefficients

By Matthias Schütt. 2005

49 citations recorded by the source corpus.

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.

Subfields: Artificial Intelligence, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/46d9745a573607c8efb0488d6e5f262daaec7b9c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. T. Shioda
2. M. Schuett

In Geometry and Topology

1. M. Schuett
2. T. Shioda
3. Abhinav Kumar
4. Charles F. Doran
5. Adrian Clingher

In Mathematical Physics

1. T. Shioda
2. M. Schuett

Citations in the corpus

• Elliptic Surfaces (2009, methodology): “The solution was first reduced to a finite problem by a combination of a finiteness result of Weinberger for imaginary quadratic fields with class group exponent two [118], and the classification of the above Hecke eigenforms up to twisting in [80].”