Defining parameters
| Level: | \( N \) | \(=\) | \( 8800 = 2^{5} \cdot 5^{2} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8800.hz (of order \(20\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2200 \) |
| Character field: | \(\Q(\zeta_{20})\) | ||
| Sturm bound: | \(2880\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8800, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 11648 | 2912 | 8736 |
| Cusp forms | 11392 | 2848 | 8544 |
| Eisenstein series | 256 | 64 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(8800, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8800, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8800, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(2200, [\chi])\)\(^{\oplus 3}\)