Defining parameters
| Level: | \( N \) | \(=\) | \( 825 = 3 \cdot 5^{2} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 825.d (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 165 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(480\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(825, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 372 | 220 | 152 |
| Cusp forms | 348 | 212 | 136 |
| Eisenstein series | 24 | 8 | 16 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(825, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(825, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(825, [\chi]) \cong \)