Classical modular forms

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The database currently contains $1{,}141{,}510$ (Galois orbits of) newforms, and $14{,}417{,}694$ of their embeddings into the complex numbers. You can browse further statistics or create your own.

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

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

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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
Dimension		e.g. 2, 1-6	Is maximal/largest
Analytic conductor		e.g. 1-10	Analytic rank		e.g. 1, 2-4
Coefficient field		e.g. 2.0.5.1, Qsqrt5	Is self-dual
Coefficient ring index		e.g. 1, 2-4	Coefficient ring gens.		e.g. 7, 1-10
CM/RM discriminant		e.g. -3	Self-twists
Inner twist count		e.g. 0, 1-, 2-3	Is twist minimal
Results to display			Projective image		A5, D7, or Dn; weight 1 only

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	e.g. 3.6.a.a, 55.3.d or 20.5