Defining parameters
| Level: | \( N \) | \(=\) | \( 2032 = 2^{4} \cdot 127 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2032.cl (of order \(126\) and degree \(36\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1016 \) |
| Character field: | \(\Q(\zeta_{126})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(1024\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(2032, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 27792 | 0 | 27792 |
| Cusp forms | 27504 | 0 | 27504 |
| Eisenstein series | 288 | 0 | 288 |
Decomposition of \(S_{4}^{\mathrm{old}}(2032, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(2032, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(1016, [\chi])\)\(^{\oplus 2}\)