Defining parameters
| Level: | \( N \) | \(=\) | \( 704 = 2^{6} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 6 \) |
| Character orbit: | \([\chi]\) | \(=\) | 704.g (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 88 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(576\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(704, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 492 | 120 | 372 |
| Cusp forms | 468 | 120 | 348 |
| Eisenstein series | 24 | 0 | 24 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(704, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(704, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(704, [\chi]) \simeq \) \(S_{6}^{\mathrm{new}}(88, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(352, [\chi])\)\(^{\oplus 2}\)