Defining parameters
| Level: | \( N \) | \(=\) | \( 6008 = 2^{3} \cdot 751 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6008.ce (of order \(375\) and degree \(200\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 751 \) |
| Character field: | \(\Q(\zeta_{375})\) | ||
| Sturm bound: | \(1504\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6008, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 151200 | 37600 | 113600 |
| Cusp forms | 149600 | 37600 | 112000 |
| Eisenstein series | 1600 | 0 | 1600 |
Decomposition of \(S_{2}^{\mathrm{new}}(6008, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6008, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6008, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(751, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1502, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3004, [\chi])\)\(^{\oplus 2}\)