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LMFDB - Introduction
Welcome to the LMFDB, the database of L-functions, modular forms, and related objects. These pages are intended to be a modern handbook including tables, formulas, links, and references for L-function...
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LMFDB - L-functions
L-functions
By motivic weight:
By conductor:
By origin
e.g. 2-1-1.1-c11-0-0 or 4-1-1.1-r0e4-c4.72c12.47-0
This project is supported by grants from the US National Science Foundation, the UK Engineeri...
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LMFDB - The LMFDB universe
The LMFDB universe
The top half of the diagram is based on the Langlands program, which predicts that any motivic object corresponds to an automorphic object via their L-functions.
This project is...
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LMFDB - Knowledge database
Knowledge database
Filter
av.endomorphism_ring_conductor
Conductor
V
This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical S...
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LMFDB - Elliptic curves over $\Q$
Elliptic curves over $\Q$
Browse
By rank:
By torsion order:
Complex multiplication
CM field Q(sqrt(-3))
CM field Q(sqrt(-7))
CM discriminant -3
Rank
Find
e.g. 11.a2 or 389.a or 11a1 or 389a or [0,1,...
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LMFDB - Modular forms
Modular forms
Maass forms (on $\GL(2)$ over $\Q$)
Hilbert modular forms (on \(\GL(2)\) over totally real fields)
Bianchi modular forms (on
\(\GL(2)\) over Euclidean imaginary quadratic fields)
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