Properties

Label 4019.2
Level 4019
Weight 2
Dimension 671007
Nonzero newspaces 6
Sturm bound 2692060

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Defining parameters

Level: \( N \) = \( 4019 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 6 \)
Sturm bound: \(2692060\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(4019))\).

Total New Old
Modular forms 675024 675024 0
Cusp forms 671007 671007 0
Eisenstein series 4017 4017 0

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(4019))\)

We only show spaces with even parity, since no modular forms exist when this condition is not satisfied. Within each space \( S_k^{\mathrm{new}}(N, \chi) \) we list the newforms together with their dimension.

Label \(\chi\) Newforms Dimension \(\chi\) degree
4019.2.a \(\chi_{4019}(1, \cdot)\) 4019.2.a.a 149 1
4019.2.a.b 186
4019.2.c \(\chi_{4019}(273, \cdot)\) n/a 2004 6
4019.2.e \(\chi_{4019}(48, \cdot)\) n/a 13360 40
4019.2.f \(\chi_{4019}(3, \cdot)\) n/a 14028 42
4019.2.i \(\chi_{4019}(20, \cdot)\) n/a 80160 240
4019.2.k \(\chi_{4019}(4, \cdot)\) n/a 561120 1680

"n/a" means that newforms for that character have not been added to the database yet