Defining parameters
| Level: | \( N \) | \(=\) | \( 5808 = 2^{4} \cdot 3 \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5808.q (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 176 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(2112\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5808, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2160 | 864 | 1296 |
| Cusp forms | 2064 | 864 | 1200 |
| Eisenstein series | 96 | 0 | 96 |
Decomposition of \(S_{2}^{\mathrm{new}}(5808, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5808, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5808, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(176, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1936, [\chi])\)\(^{\oplus 2}\)