Defining parameters
| Level: | \( N \) | \(=\) | \( 5520 = 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5520.dj (of order \(22\) and degree \(10\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 345 \) |
| Character field: | \(\Q(\zeta_{22})\) | ||
| Sturm bound: | \(2304\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5520, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 11760 | 2920 | 8840 |
| Cusp forms | 11280 | 2840 | 8440 |
| Eisenstein series | 480 | 80 | 400 |
Decomposition of \(S_{2}^{\mathrm{new}}(5520, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5520, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5520, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(345, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(690, [\chi])\)\(^{\oplus 4}\)