Defining parameters
| Level: | \( N \) | \(=\) | \( 27885 = 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 27885.fq (of order \(30\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2145 \) |
| Character field: | \(\Q(\zeta_{30})\) | ||
| Sturm bound: | \(8736\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(27885, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 35392 | 29888 | 5504 |
| Cusp forms | 34496 | 29248 | 5248 |
| Eisenstein series | 896 | 640 | 256 |
Decomposition of \(S_{2}^{\mathrm{new}}(27885, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(27885, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(27885, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(2145, [\chi])\)\(^{\oplus 2}\)