Defining parameters
| Level: | \( N \) | \(=\) | \( 72 = 2^{3} \cdot 3^{2} \) |
| Weight: | \( k \) | \(=\) | \( 3 \) |
| Character orbit: | \([\chi]\) | \(=\) | 72.g (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4 \) |
| Character field: | \(\Q\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(36\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(72, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 32 | 0 | 32 |
| Cusp forms | 16 | 0 | 16 |
| Eisenstein series | 16 | 0 | 16 |
Decomposition of \(S_{3}^{\mathrm{old}}(72, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(72, [\chi]) \simeq \) \(S_{3}^{\mathrm{new}}(12, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(36, [\chi])\)\(^{\oplus 2}\)