Defining parameters
| Level: | \( N \) | \(=\) | \( 8007 = 3 \cdot 17 \cdot 157 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8007.dt (of order \(78\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 157 \) |
| Character field: | \(\Q(\zeta_{78})\) | ||
| Sturm bound: | \(1896\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8007, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 22848 | 10128 | 12720 |
| Cusp forms | 22656 | 10128 | 12528 |
| Eisenstein series | 192 | 0 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(8007, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8007, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8007, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(157, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(471, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2669, [\chi])\)\(^{\oplus 2}\)