Properties

Label 8039.2
Level 8039
Weight 2
Dimension 2688712
Nonzero newspaces 2
Sturm bound 10770920

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Defining parameters

Level: \( N \) = \( 8039 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 2 \)
Sturm bound: \(10770920\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(8039))\).

Total New Old
Modular forms 2696749 2696749 0
Cusp forms 2688712 2688712 0
Eisenstein series 8037 8037 0

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(8039))\)

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
8039.2.a \(\chi_{8039}(1, \cdot)\) 8039.2.a.a 279 1
8039.2.a.b 391
8039.2.c \(\chi_{8039}(2, \cdot)\) n/a 2688042 4018

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