Defining parameters
| Level: | \( N \) | \(=\) | \( 172 = 2^{2} \cdot 43 \) |
| Weight: | \( k \) | \(=\) | \( 6 \) |
| Character orbit: | \([\chi]\) | \(=\) | 172.d (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 172 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(132\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(172, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 112 | 112 | 0 |
| Cusp forms | 108 | 108 | 0 |
| Eisenstein series | 4 | 4 | 0 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(172, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.