LMFDB, the L-functions and modular forms database
The LMFDB is a database of mathematical objects arising in number theory and arithmetic geometry that illustrates some of the mathematical connections predicted by the Langlands program. It contains the following sections:
- L-functions
- Classical modular forms
- Maass forms
- Hilbert modular forms
- Bianchi modular forms
- Elliptic curves over Q
- Elliptic curves over number fields
- Genus 2 curves over Q
- Higher genus families of curves
- Abelian varieties over finite fields
- Number fields
- p-adic fields
- Dirichlet characters
- Artin representations
- Galois groups
- Sato-Tate groups
Some additional datasets are available on beta.lmfdb.org:
- Siegel modular forms
- Modular curves
- Belyi maps
- Hypergeometric motives over Q
- Abstract finite groups
- Lattices