Defining parameters
| Level: | \( N \) | \(=\) | \( 7803 = 3^{3} \cdot 17^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7803.cf (of order \(1224\) and degree \(384\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 7803 \) |
| Character field: | \(\Q(\zeta_{1224})\) | ||
| Sturm bound: | \(1836\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7803, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 353280 | 353280 | 0 |
| Cusp forms | 351744 | 351744 | 0 |
| Eisenstein series | 1536 | 1536 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(7803, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.