Defining parameters
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.w (of order \(18\) and degree \(6\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 108 \) |
Character field: | \(\Q(\zeta_{18})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(144\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(216, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 672 | 0 | 672 |
Cusp forms | 624 | 0 | 624 |
Eisenstein series | 48 | 0 | 48 |
Decomposition of \(S_{4}^{\mathrm{old}}(216, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(216, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(108, [\chi])\)\(^{\oplus 2}\)