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