Defining parameters
| Level: | \( N \) | \(=\) | \( 8024 = 2^{3} \cdot 17 \cdot 59 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8024.cp (of order \(232\) and degree \(112\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4012 \) |
| Character field: | \(\Q(\zeta_{232})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(2160\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8024, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 121856 | 0 | 121856 |
| Cusp forms | 120064 | 0 | 120064 |
| Eisenstein series | 1792 | 0 | 1792 |
Decomposition of \(S_{2}^{\mathrm{old}}(8024, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8024, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4012, [\chi])\)\(^{\oplus 2}\)