Defining parameters
| Level: | \( N \) | \(=\) | \( 9196 = 2^{2} \cdot 11^{2} \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9196.dq (of order \(990\) and degree \(240\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 9196 \) |
| Character field: | \(\Q(\zeta_{990})\) | ||
| Sturm bound: | \(2640\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9196, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 317760 | 317760 | 0 |
| Cusp forms | 315840 | 315840 | 0 |
| Eisenstein series | 1920 | 1920 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(9196, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.