A database of modular forms on noncongruence subgroups

Berghaus, David; Monien, Hartmut; Radchenko, Danylo

Document type :

Pré-publication ou Document de travail

Title :

A database of modular forms on noncongruence subgroups

Author(s) :

Berghaus, David [Auteur]
Bethe Center for Theoretical Physics [BCTP]
Monien, Hartmut [Auteur]
Bethe Center for Theoretical Physics [BCTP]
Radchenko, Danylo [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Publication date :

2023-01-05

HAL domain(s) :

Mathématiques [math]/Théorie des nombres [math.NT]

English abstract : [en]

We present a database of several hundred modular forms up to and including weight six on noncongruence subgroups of index $\leq 17$. In addition, our database contains expressions for the Belyi map for genus zero subgroups ...
Show more >We present a database of several hundred modular forms up to and including weight six on noncongruence subgroups of index $\leq 17$. In addition, our database contains expressions for the Belyi map for genus zero subgroups and equations of the corresponding elliptic curves for genus one subgroups and numerical approximations of noncongruence Eisenstein series to 1500 digits precision.Show less >

Language :

Anglais

Comment :

10 pages

Collections :