Defining parameters
| Level: | \( N \) | \(=\) | \( 6664 = 2^{3} \cdot 7^{2} \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6664.eo (of order \(48\) and degree \(16\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 952 \) |
| Character field: | \(\Q(\zeta_{48})\) | ||
| Sturm bound: | \(2016\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6664, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 16384 | 11648 | 4736 |
| Cusp forms | 15872 | 11392 | 4480 |
| Eisenstein series | 512 | 256 | 256 |
Decomposition of \(S_{2}^{\mathrm{new}}(6664, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6664, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6664, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(952, [\chi])\)\(^{\oplus 2}\)