Defining parameters
| Level: | \( N \) | \(=\) | \( 8775 = 3^{3} \cdot 5^{2} \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8775.bf (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 585 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(2520\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8775, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2592 | 512 | 2080 |
| Cusp forms | 2448 | 496 | 1952 |
| Eisenstein series | 144 | 16 | 128 |
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
\( S_{2}^{\mathrm{old}}(8775, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(585, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1755, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2925, [\chi])\)\(^{\oplus 2}\)