Defining parameters
| Level: | \( N \) | \(=\) | \( 8664 = 2^{3} \cdot 3 \cdot 19^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8664.cg (of order \(38\) and degree \(18\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2888 \) |
| Character field: | \(\Q(\zeta_{38})\) | ||
| Sturm bound: | \(3040\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8664, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 27432 | 13680 | 13752 |
| Cusp forms | 27288 | 13680 | 13608 |
| Eisenstein series | 144 | 0 | 144 |
Decomposition of \(S_{2}^{\mathrm{new}}(8664, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8664, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8664, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2888, [\chi])\)\(^{\oplus 2}\)