Defining parameters
| Level: | \( N \) | \(=\) | \( 4400 = 2^{4} \cdot 5^{2} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4400.v (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 176 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(1440\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4400, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1464 | 924 | 540 |
| Cusp forms | 1416 | 900 | 516 |
| Eisenstein series | 48 | 24 | 24 |
Decomposition of \(S_{2}^{\mathrm{new}}(4400, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4400, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4400, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(176, [\chi])\)\(^{\oplus 3}\)