Defining parameters
| Level: | \( N \) | \(=\) | \( 6776 = 2^{3} \cdot 7 \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6776.bi (of order \(10\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 616 \) |
| Character field: | \(\Q(\zeta_{10})\) | ||
| Sturm bound: | \(2112\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6776, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 4320 | 3520 | 800 |
| Cusp forms | 4128 | 3392 | 736 |
| Eisenstein series | 192 | 128 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(6776, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6776, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6776, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(616, [\chi])\)\(^{\oplus 2}\)