Defining parameters
| Level: | \( N \) | \(=\) | \( 676 = 2^{2} \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 6 \) |
| Character orbit: | \([\chi]\) | \(=\) | 676.l (of order \(12\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 52 \) |
| Character field: | \(\Q(\zeta_{12})\) | ||
| Sturm bound: | \(546\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(676, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1876 | 1580 | 296 |
| Cusp forms | 1764 | 1500 | 264 |
| Eisenstein series | 112 | 80 | 32 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(676, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(676, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(676, [\chi]) \cong \) \(S_{6}^{\mathrm{new}}(52, [\chi])\)\(^{\oplus 2}\)