Defining parameters
| Level: | \( N \) | \(=\) | \( 3456 = 2^{7} \cdot 3^{3} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3456.cp (of order \(144\) and degree \(48\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1728 \) |
| Character field: | \(\Q(\zeta_{144})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(1152\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3456, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 27840 | 0 | 27840 |
| Cusp forms | 27456 | 0 | 27456 |
| Eisenstein series | 384 | 0 | 384 |
Decomposition of \(S_{2}^{\mathrm{old}}(3456, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3456, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1728, [\chi])\)\(^{\oplus 2}\)