Defining parameters
| Level: | \( N \) | \(=\) | \( 1080 = 2^{3} \cdot 3^{3} \cdot 5 \) |
| Weight: | \( k \) | \(=\) | \( 6 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1080.o (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 60 \) |
| Character field: | \(\Q\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(1296\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(1080, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1104 | 0 | 1104 |
| Cusp forms | 1056 | 0 | 1056 |
| Eisenstein series | 48 | 0 | 48 |
Decomposition of \(S_{6}^{\mathrm{old}}(1080, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(1080, [\chi]) \cong \) \(S_{6}^{\mathrm{new}}(60, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(120, [\chi])\)\(^{\oplus 3}\)