Properties

Label 4003.2
Level 4003
Weight 2
Dimension 665667
Nonzero newspaces 8
Sturm bound 2670668

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Defining parameters

Level: \( N \) = \( 4003 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 8 \)
Sturm bound: \(2670668\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(4003))\).

Total New Old
Modular forms 669668 669668 0
Cusp forms 665667 665667 0
Eisenstein series 4001 4001 0

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(4003))\)

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
4003.2.a \(\chi_{4003}(1, \cdot)\) 4003.2.a.a 2 1
4003.2.a.b 152
4003.2.a.c 179
4003.2.c \(\chi_{4003}(822, \cdot)\) n/a 666 2
4003.2.e \(\chi_{4003}(551, \cdot)\) n/a 7304 22
4003.2.f \(\chi_{4003}(102, \cdot)\) n/a 9296 28
4003.2.i \(\chi_{4003}(129, \cdot)\) n/a 14652 44
4003.2.j \(\chi_{4003}(10, \cdot)\) n/a 18648 56
4003.2.m \(\chi_{4003}(6, \cdot)\) n/a 204512 616
4003.2.o \(\chi_{4003}(4, \cdot)\) n/a 410256 1232

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