Defining parameters
| Level: | \( N \) | \(=\) | \( 5184 = 2^{6} \cdot 3^{4} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5184.cx (of order \(216\) and degree \(72\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2592 \) |
| Character field: | \(\Q(\zeta_{216})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(1728\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5184, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 62496 | 0 | 62496 |
| Cusp forms | 61920 | 0 | 61920 |
| Eisenstein series | 576 | 0 | 576 |
Decomposition of \(S_{2}^{\mathrm{old}}(5184, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5184, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(2592, [\chi])\)\(^{\oplus 2}\)