Defining parameters
| Level: | \( N \) | \(=\) | \( 704 = 2^{6} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 6 \) |
| Character orbit: | \([\chi]\) | \(=\) | 704.bf (of order \(20\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 176 \) |
| Character field: | \(\Q(\zeta_{20})\) | ||
| Sturm bound: | \(576\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(704, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3904 | 976 | 2928 |
| Cusp forms | 3776 | 944 | 2832 |
| Eisenstein series | 128 | 32 | 96 |
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
\( S_{6}^{\mathrm{old}}(704, [\chi]) \simeq \) \(S_{6}^{\mathrm{new}}(176, [\chi])\)\(^{\oplus 3}\)