Defining parameters
| Level: | \( N \) | \(=\) | \( 9216 = 2^{10} \cdot 3^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9216.cb (of order \(128\) and degree \(64\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 512 \) |
| Character field: | \(\Q(\zeta_{128})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(3072\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9216, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 98816 | 0 | 98816 |
| Cusp forms | 97792 | 0 | 97792 |
| Eisenstein series | 1024 | 0 | 1024 |
Decomposition of \(S_{2}^{\mathrm{old}}(9216, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9216, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(512, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1024, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1536, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3072, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4608, [\chi])\)\(^{\oplus 2}\)