Defining parameters
| Level: | \( N \) | \(=\) | \( 7600 = 2^{4} \cdot 5^{2} \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7600.ic (of order \(90\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3800 \) |
| Character field: | \(\Q(\zeta_{90})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(2400\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7600, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 28992 | 0 | 28992 |
| Cusp forms | 28608 | 0 | 28608 |
| Eisenstein series | 384 | 0 | 384 |
Decomposition of \(S_{2}^{\mathrm{old}}(7600, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7600, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3800, [\chi])\)\(^{\oplus 2}\)