Defining parameters
| Level: | \( N \) | \(=\) | \( 4851 = 3^{2} \cdot 7^{2} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4851.cs (of order \(30\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 77 \) |
| Character field: | \(\Q(\zeta_{30})\) | ||
| Sturm bound: | \(1344\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4851, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 5632 | 1632 | 4000 |
| Cusp forms | 5120 | 1568 | 3552 |
| Eisenstein series | 512 | 64 | 448 |
Decomposition of \(S_{2}^{\mathrm{new}}(4851, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4851, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4851, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(77, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(231, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(539, [\chi])\)\(^{\oplus 3}\)