Defining parameters
| Level: | \( N \) | \(=\) | \( 7803 = 3^{3} \cdot 17^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7803.w (of order \(24\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 153 \) |
| Character field: | \(\Q(\zeta_{24})\) | ||
| Sturm bound: | \(1836\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7803, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 7776 | 2272 | 5504 |
| Cusp forms | 6912 | 2048 | 4864 |
| Eisenstein series | 864 | 224 | 640 |
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
\( S_{2}^{\mathrm{old}}(7803, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(153, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(459, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2601, [\chi])\)\(^{\oplus 2}\)