Defining parameters
| Level: | \( N \) | \(=\) | \( 232 = 2^{3} \cdot 29 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 232.i (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 116 \) |
| Character field: | \(\Q(i)\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(120\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(232, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 188 | 0 | 188 |
| Cusp forms | 172 | 0 | 172 |
| Eisenstein series | 16 | 0 | 16 |
Decomposition of \(S_{4}^{\mathrm{old}}(232, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(232, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(116, [\chi])\)\(^{\oplus 2}\)