Defining parameters
| Level: | \( N \) | \(=\) | \( 8064 = 2^{7} \cdot 3^{2} \cdot 7 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8064.ix (of order \(96\) and degree \(32\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1152 \) |
| Character field: | \(\Q(\zeta_{96})\) | ||
| Sturm bound: | \(3072\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8064, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 49280 | 36864 | 12416 |
| Cusp forms | 49024 | 36864 | 12160 |
| Eisenstein series | 256 | 0 | 256 |
Decomposition of \(S_{2}^{\mathrm{new}}(8064, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8064, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8064, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1152, [\chi])\)\(^{\oplus 2}\)