Defining parameters
| Level: | \( N \) | \(=\) | \( 6776 = 2^{3} \cdot 7 \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6776.cb (of order \(22\) and degree \(10\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 484 \) |
| Character field: | \(\Q(\zeta_{22})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(2112\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6776, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 10640 | 0 | 10640 |
| Cusp forms | 10480 | 0 | 10480 |
| Eisenstein series | 160 | 0 | 160 |
Decomposition of \(S_{2}^{\mathrm{old}}(6776, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6776, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(484, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(968, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3388, [\chi])\)\(^{\oplus 2}\)