Defining parameters
| Level: | \( N \) | \(=\) | \( 8470 = 2 \cdot 5 \cdot 7 \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8470.bm (of order \(22\) and degree \(10\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 847 \) |
| Character field: | \(\Q(\zeta_{22})\) | ||
| Sturm bound: | \(3168\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8470, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 15920 | 3520 | 12400 |
| Cusp forms | 15760 | 3520 | 12240 |
| Eisenstein series | 160 | 0 | 160 |
Decomposition of \(S_{2}^{\mathrm{new}}(8470, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8470, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8470, [\chi]) \cong \)