Defining parameters
| Level: | \( N \) | \(=\) | \( 490 = 2 \cdot 5 \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 6 \) |
| Character orbit: | \([\chi]\) | \(=\) | 490.s (of order \(28\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 245 \) |
| Character field: | \(\Q(\zeta_{28})\) | ||
| Sturm bound: | \(504\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(490, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 5088 | 1680 | 3408 |
| Cusp forms | 4992 | 1680 | 3312 |
| Eisenstein series | 96 | 0 | 96 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(490, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(490, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(490, [\chi]) \simeq \) \(S_{6}^{\mathrm{new}}(245, [\chi])\)\(^{\oplus 2}\)