Defining parameters
| Level: | \( N \) | = | \( 4007 \) |
| Weight: | \( k \) | = | \( 2 \) |
| Nonzero newspaces: | \( 2 \) | ||
| Sturm bound: | \(2676008\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(4007))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 671005 | 671005 | 0 |
| Cusp forms | 667000 | 667000 | 0 |
| Eisenstein series | 4005 | 4005 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(4007))\)
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 available newforms together with their dimension.
| Label | \(\chi\) | Newforms | Dimension | \(\chi\) degree |
|---|---|---|---|---|
| 4007.2.a | \(\chi_{4007}(1, \cdot)\) | 4007.2.a.a | 139 | 1 |
| 4007.2.a.b | 195 | |||
| 4007.2.c | \(\chi_{4007}(2, \cdot)\) | n/a | 666666 | 2002 |
"n/a" means that newforms for that character have not been added to the database yet