Defining parameters
| Level: | \( N \) | \(=\) | \( 4800 = 2^{6} \cdot 3 \cdot 5^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4800.fl (of order \(80\) and degree \(32\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1600 \) |
| Character field: | \(\Q(\zeta_{80})\) | ||
| Sturm bound: | \(1920\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4800, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 30848 | 15360 | 15488 |
| Cusp forms | 30592 | 15360 | 15232 |
| Eisenstein series | 256 | 0 | 256 |
Decomposition of \(S_{2}^{\mathrm{new}}(4800, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4800, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4800, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1600, [\chi])\)\(^{\oplus 2}\)