Defining parameters
| Level: | \( N \) | \(=\) | \( 4650 = 2 \cdot 3 \cdot 5^{2} \cdot 31 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4650.q (of order \(5\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 775 \) |
| Character field: | \(\Q(\zeta_{5})\) | ||
| Sturm bound: | \(1920\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4650, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3872 | 640 | 3232 |
| Cusp forms | 3808 | 640 | 3168 |
| Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(4650, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4650, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4650, [\chi]) \cong \)