Defining parameters
| Level: | \( N \) | \(=\) | \( 880 = 2^{4} \cdot 5 \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 880.bd (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 55 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(576\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(880, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 888 | 220 | 668 |
| Cusp forms | 840 | 212 | 628 |
| Eisenstein series | 48 | 8 | 40 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(880, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(880, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(880, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(55, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(110, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(220, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(440, [\chi])\)\(^{\oplus 2}\)