"I love LMFDB - The L-functions and modular forms database"

2022-06-21 18:41:28

⌂ Citation · Feedback · Hide Menu The L-functions and modular forms database (LMFDB) Introduction OverviewRandomUniverseKnowledge L-functions RationalAll Modular forms ClassicalMaassHilbertBianchi Varieties Elliptic curves over $\Q$Elliptic curves over $\Q(\alpha)$Genus 2 curves over $\Q$Higher genus familiesAbelian varieties over $\F_{q}$ Fields Number fields$p$-adic fields Representations Dirichlet charactersArtin representations Groups Galois groupsSato-Tate groups Database A database The LMFDB is an extensive database of mathematical objects arising in Number Theory.Sample lists: L-functions, Elliptic curves, Tables of zeros, Number fieldsSave the date: LuCaNT 2023 Hall of fame 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 and browse Search for objects with specific properties, or browse categories.Browse: L-functions, Modular forms, Elliptic curves, Number fieldsSee a random object from the database Visualize data Explore individual plots or view distributions of various objects.Examples: \(\GL(4)\) Level one Maass forms, Isogeny graph of elliptic curve 102.c Explore and learn The LMFDB makes visible the connections predicted by the Langlands program. Knowls offer background information when you need it.LMFDB universeKnowledge Code and open software Download the data, download the code, or see how the data was generated.GitHub SageMath Pari/GP Magma Python This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation. Contact · Citation · Acknowledgments · Editorial Board · Source · SageMath version 9.4 · LMFDB Release 1.2.1