LMFDB - The L-functions and modular forms database

A 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.

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	Announcements
	New section on abstract groups (8/25) New section on Belyi maps (7/25) Major revision to $p$-adic fields (7/25) More... (and ongoing projects)

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Information is available regarding the source, reliability, and completeness of the database.

Knowls provide explanations when you need them.

Overview LMFDB universe Knowledge Data

	Citations and acknowledgments
	How to cite the LMFDB Source code repository Editorial board Acknowledgments and activities

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.