Defining parameters
| Level: | \( N \) | \(=\) | \( 5544 = 2^{3} \cdot 3^{2} \cdot 7 \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5544.in (of order \(30\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 792 \) |
| Character field: | \(\Q(\zeta_{30})\) | ||
| Sturm bound: | \(2304\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5544, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 9280 | 6912 | 2368 |
| Cusp forms | 9152 | 6912 | 2240 |
| Eisenstein series | 128 | 0 | 128 |
Decomposition of \(S_{2}^{\mathrm{new}}(5544, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5544, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5544, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(792, [\chi])\)\(^{\oplus 2}\)