Defining parameters
| Level: | \( N \) | \(=\) | \( 8004 = 2^{2} \cdot 3 \cdot 23 \cdot 29 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8004.dm (of order \(308\) and degree \(120\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8004 \) |
| Character field: | \(\Q(\zeta_{308})\) | ||
| Sturm bound: | \(2880\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8004, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 173760 | 173760 | 0 |
| Cusp forms | 171840 | 171840 | 0 |
| Eisenstein series | 1920 | 1920 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(8004, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.