Introduction

Overview	Random
Universe	Knowledge

L-functions

Modular forms

Classical	Maass
Hilbert	Bianchi

Varieties

Elliptic curves over $\Q$ over number fields
Genus 2 curves
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Fields

Number fields
$p$-adic fields

Representations

Dirichlet characters
Artin representations

Groups

Galois groups
Sato-Tate groups
Abstract groups groups subgroups characters conjugacy classes

Database

Learn more

The computation of Artin representations is rigorous; it does not rely on heuristics or conjectures.