Defining parameters
| Level: | \( N \) | \(=\) | \( 4725 = 3^{3} \cdot 5^{2} \cdot 7 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4725.ha (of order \(180\) and degree \(48\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 675 \) |
| Character field: | \(\Q(\zeta_{180})\) | ||
| Sturm bound: | \(1440\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4725, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 34752 | 25920 | 8832 |
| Cusp forms | 34368 | 25920 | 8448 |
| Eisenstein series | 384 | 0 | 384 |
Decomposition of \(S_{2}^{\mathrm{new}}(4725, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4725, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4725, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(675, [\chi])\)\(^{\oplus 2}\)