The L-functions and modular forms database

www.lmfdb.org

Introduction

1. The “Tetrapod”
2. Overview
3. Knowledge database
4. Random
5. Random
6. Random

Databases

1. Elliptic curves over $\mathbb{Q}$
   • Interesting elliptic curves
2. Number fields
   • Interesting number fields
   • Raw/Copy mode
   • Assuming GRH
   • Source and acknowledgments
3. Abstract groups (beta)
   • Source and acknowledgments
   • Completeness of the data
   • Reliability of the data

Source, reliability, and completeness of the database(s)

• Summary
• Editorial board

Behind the scenes

Setup

• 
• beta.lmfdb.org hosted in MIT
• www.lmfdb.org hosted in Google Cloud
• 2TB PostgresSQL database
• 3.4TB of datasets
• github.com/LMFDB/lmfdb