Defining parameters
| Level: | \( N \) | \(=\) | \( 8775 = 3^{3} \cdot 5^{2} \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8775.ev (of order \(18\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1755 \) |
| Character field: | \(\Q(\zeta_{18})\) | ||
| Sturm bound: | \(2520\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8775, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 7632 | 4560 | 3072 |
| Cusp forms | 7488 | 4512 | 2976 |
| Eisenstein series | 144 | 48 | 96 |
Decomposition of \(S_{2}^{\mathrm{new}}(8775, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8775, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8775, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1755, [\chi])\)\(^{\oplus 2}\)