Defining parameters
| Level: | \( N \) | \(=\) | \( 7803 = 3^{3} \cdot 17^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7803.bq (of order \(153\) and degree \(96\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 7803 \) |
| Character field: | \(\Q(\zeta_{153})\) | ||
| Sturm bound: | \(1836\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7803, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 88320 | 88320 | 0 |
| Cusp forms | 87936 | 87936 | 0 |
| Eisenstein series | 384 | 384 | 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.