Defining parameters
| Level: | \( N \) | \(=\) | \( 6534 = 2 \cdot 3^{3} \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6534.bo (of order \(198\) and degree \(60\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3267 \) |
| Character field: | \(\Q(\zeta_{198})\) | ||
| Sturm bound: | \(2376\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6534, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 71520 | 23760 | 47760 |
| Cusp forms | 71040 | 23760 | 47280 |
| Eisenstein series | 480 | 0 | 480 |
Decomposition of \(S_{2}^{\mathrm{new}}(6534, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6534, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6534, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3267, [\chi])\)\(^{\oplus 2}\)