Defining parameters
| Level: | \( N \) | \(=\) | \( 5544 = 2^{3} \cdot 3^{2} \cdot 7 \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5544.mh (of order \(30\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 693 \) |
| 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 | 9344 | 2304 | 7040 |
| Cusp forms | 9088 | 2304 | 6784 |
| Eisenstein series | 256 | 0 | 256 |
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
\( S_{2}^{\mathrm{old}}(5544, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(693, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1386, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2772, [\chi])\)\(^{\oplus 2}\)