Classical Modular Forms

The database currently contains 281,219 (Galois orbits of) newforms, corresponding to 14,398,359 modular forms over the complex numbers.

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Browse newforms

By weight: 1  2  3  4  5-8  9-16  17-32  33-64  65-316 

By level: 1  2-10  11-100  101-1000  1001-2000  2001-4000  4001-6000  6001-8000  8001-10000 

Some interesting newforms: 23.1.b.a   11.2.a.a   39.1.d.a   7.3.b.a   23.2.a.a   1.12.a.a   124.1.i.a   148.1.f.a  

633.1.m.b   163.3.b.a   8.14.b.a   8.21.d.b   3600.1.e.a   983.2.c.a   3997.1.cz.a   7524.2.l.b   random  

A table of newforms with rational \(q\)-expansion

Browse newspaces

By weight: 1  2  3  4  5-8  9-16  17-32  33-64  65-316 

By level: 1  2-10  11-100  101-1000  1001-2000  2001-4000  4001-6000  6001-8000  8001-10000 

Create a search for newspaces, a table of dimensions for \(\Gamma_1(N)\), or a table for \(\Gamma_0(N)\) with trivial character

Some interesting newspaces: 1161.1.i   23.10   3311.1.h   1200.2.a   9450.2.a   4000.1.bf  

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Level			e.g. 4, 1-20	Weight			e.g. 2, 4-8
Bad \(p\)			e.g. 2,3	Character			e.g. 20.d
Character order			e.g. 1, 2-4	Primitive character			e.g. 1.a
Dim.			e.g. 2, 1-6	Coefficient field			e.g. 4.0.144.1, Qsqrt5
Analytic conductor			e.g. 1-10	\(Nk^2\)			e.g. 40-100
Self-twists				CM/RM discriminant			e.g. -3
Inner twist count*			e.g. 0, 1-, 2-3	Is self-dual
Coefficient ring index*			e.g. 1, 2-4	Coefficient ring gens.			e.g. 7, 1-10
Analytic rank			e.g. 1, 2-4	Projective image			wt. 1 only
Results to display				Projective image type			wt. 1 only

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