Defining parameters
| Level: | \( N \) | \(=\) | \( 3200 = 2^{7} \cdot 5^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3200.cz (of order \(80\) and degree \(32\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1600 \) |
| Character field: | \(\Q(\zeta_{80})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(960\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3200, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 15488 | 0 | 15488 |
| Cusp forms | 15232 | 0 | 15232 |
| Eisenstein series | 256 | 0 | 256 |
Decomposition of \(S_{2}^{\mathrm{old}}(3200, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3200, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1600, [\chi])\)\(^{\oplus 2}\)