Defining parameters
| Level: | \( N \) | \(=\) | \( 6422 = 2 \cdot 13^{2} \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6422.bf (of order \(12\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 247 \) |
| Character field: | \(\Q(\zeta_{12})\) | ||
| Sturm bound: | \(1820\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6422, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3752 | 1016 | 2736 |
| Cusp forms | 3528 | 1016 | 2512 |
| Eisenstein series | 224 | 0 | 224 |
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
\( S_{2}^{\mathrm{old}}(6422, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(247, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(494, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3211, [\chi])\)\(^{\oplus 2}\)