Defining parameters
| Level: | \( N \) | \(=\) | \( 7803 = 3^{3} \cdot 17^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7803.m (of order \(9\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 27 \) |
| Character field: | \(\Q(\zeta_{9})\) | ||
| Sturm bound: | \(1836\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7803, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 5616 | 4968 | 648 |
| Cusp forms | 5400 | 4788 | 612 |
| Eisenstein series | 216 | 180 | 36 |
Decomposition of \(S_{2}^{\mathrm{new}}(7803, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7803, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7803, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(27, [\chi])\)\(^{\oplus 3}\)