Defining parameters
| Level: | \( N \) | \(=\) | \( 8664 = 2^{3} \cdot 3 \cdot 19^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8664.u (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 456 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(3040\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8664, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3120 | 2784 | 336 |
| Cusp forms | 2960 | 2656 | 304 |
| Eisenstein series | 160 | 128 | 32 |
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
\( S_{2}^{\mathrm{old}}(8664, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(456, [\chi])\)\(^{\oplus 2}\)