Defining parameters
| Level: | \( N \) | \(=\) | \( 348 = 2^{2} \cdot 3 \cdot 29 \) |
| Weight: | \( k \) | \(=\) | \( 6 \) |
| Character orbit: | \([\chi]\) | \(=\) | 348.x (of order \(28\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 116 \) |
| Character field: | \(\Q(\zeta_{28})\) | ||
| Sturm bound: | \(360\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(348, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3648 | 1800 | 1848 |
| Cusp forms | 3552 | 1800 | 1752 |
| Eisenstein series | 96 | 0 | 96 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(348, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(348, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(348, [\chi]) \simeq \) \(S_{6}^{\mathrm{new}}(116, [\chi])\)\(^{\oplus 2}\)