Defining parameters
| Level: | \( N \) | \(=\) | \( 1183 = 7 \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1183.r (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 91 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(242\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1183, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 272 | 224 | 48 |
| Cusp forms | 216 | 184 | 32 |
| Eisenstein series | 56 | 40 | 16 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1183, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1183, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1183, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(91, [\chi])\)\(^{\oplus 2}\)