Defining parameters
| Level: | \( N \) | \(=\) | \( 8800 = 2^{5} \cdot 5^{2} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8800.bl (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 880 \) |
| Character field: | \(\Q(i)\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(2880\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8800, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2928 | 0 | 2928 |
| Cusp forms | 2832 | 0 | 2832 |
| Eisenstein series | 96 | 0 | 96 |
Decomposition of \(S_{2}^{\mathrm{old}}(8800, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8800, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(880, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4400, [\chi])\)\(^{\oplus 2}\)