Defining parameters
| Level: | \( N \) | \(=\) | \( 27885 = 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 27885.dp (of order \(12\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 65 \) |
| Character field: | \(\Q(\zeta_{12})\) | ||
| Sturm bound: | \(8736\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(27885, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 17696 | 6160 | 11536 |
| Cusp forms | 17248 | 6160 | 11088 |
| Eisenstein series | 448 | 0 | 448 |
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
\( S_{2}^{\mathrm{old}}(27885, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(65, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(195, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(715, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(845, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2145, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2535, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(9295, [\chi])\)\(^{\oplus 2}\)