Defining parameters
| Level: | \( N \) | \(=\) | \( 2816 = 2^{8} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2816.bo (of order \(64\) and degree \(32\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 256 \) |
| Character field: | \(\Q(\zeta_{64})\) | ||
| Sturm bound: | \(768\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2816, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 12352 | 10240 | 2112 |
| Cusp forms | 12224 | 10240 | 1984 |
| Eisenstein series | 128 | 0 | 128 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2816, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2816, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2816, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(256, [\chi])\)\(^{\oplus 2}\)