Defining parameters
| Level: | \( N \) | \(=\) | \( 9216 = 2^{10} \cdot 3^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9216.cj (of order \(256\) and degree \(128\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1024 \) |
| Character field: | \(\Q(\zeta_{256})\) | ||
| Sturm bound: | \(3072\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9216, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 197120 | 82048 | 115072 |
| Cusp forms | 196096 | 81792 | 114304 |
| Eisenstein series | 1024 | 256 | 768 |
Decomposition of \(S_{2}^{\mathrm{new}}(9216, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9216, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9216, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1024, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3072, [\chi])\)\(^{\oplus 2}\)