Defining parameters
| Level: | \( N \) | \(=\) | \( 1183 = 7 \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1183.bg (of order \(26\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 169 \) |
| Character field: | \(\Q(\zeta_{26})\) | ||
| Sturm bound: | \(485\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(1183, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 4392 | 3288 | 1104 |
| Cusp forms | 4344 | 3288 | 1056 |
| Eisenstein series | 48 | 0 | 48 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(1183, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(1183, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(1183, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(169, [\chi])\)\(^{\oplus 2}\)