Defining parameters
| Level: | \( N \) | \(=\) | \( 8470 = 2 \cdot 5 \cdot 7 \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8470.cc (of order \(44\) and degree \(20\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4235 \) |
| Character field: | \(\Q(\zeta_{44})\) | ||
| Sturm bound: | \(3168\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8470, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 31840 | 10560 | 21280 |
| Cusp forms | 31520 | 10560 | 20960 |
| Eisenstein series | 320 | 0 | 320 |
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
\( S_{2}^{\mathrm{old}}(8470, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4235, [\chi])\)\(^{\oplus 2}\)