Defining parameters
| Level: | \( N \) | \(=\) | \( 736 = 2^{5} \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 736.ba (of order \(44\) and degree \(20\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 368 \) |
| Character field: | \(\Q(\zeta_{44})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(384\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(736, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 5840 | 0 | 5840 |
| Cusp forms | 5680 | 0 | 5680 |
| Eisenstein series | 160 | 0 | 160 |
Decomposition of \(S_{4}^{\mathrm{old}}(736, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(736, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(368, [\chi])\)\(^{\oplus 2}\)