The LMFDB is an extensive database of mathematical objects arising in Number Theory.

Sample lists: L-functions, Elliptic curves, Maass forms, Tables of zeros, Number fields

• Riemann zeta function
• Ramanujan \(\Delta\) function and its L-function
• C277 and its L-function
• Gauss elliptic curve and its L-function
• Grand Canyon L-function

Search for objects with specific properties, or browse categories.

Browse: L-functions, Modular forms, Elliptic curves, Number fields

Explore individual plots or view distributions of various objects.

Examples: \(\GL(4)\) Level one Maass forms, Isogeny graph of elliptic curve 102.c

The LMFDB makes visible the connections predicted by the Langlands program. Knowls offer background information when you need it.

LMFDB universe

Download the data, download the code, or see how the data were generated.

GitHub     SageMath    Pari/GP     Magma     Python