Defining parameters
| Level: | \( N \) | \(=\) | \( 6422 = 2 \cdot 13^{2} \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6422.cw (of order \(156\) and degree \(48\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3211 \) |
| Character field: | \(\Q(\zeta_{156})\) | ||
| Sturm bound: | \(1820\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6422, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 43872 | 14688 | 29184 |
| Cusp forms | 43488 | 14688 | 28800 |
| Eisenstein series | 384 | 0 | 384 |
Decomposition of \(S_{2}^{\mathrm{new}}(6422, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6422, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6422, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3211, [\chi])\)\(^{\oplus 2}\)