Defining parameters
| Level: | \( N \) | \(=\) | \( 5400 = 2^{3} \cdot 3^{3} \cdot 5^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5400.ff (of order \(90\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 5400 \) |
| Character field: | \(\Q(\zeta_{90})\) | ||
| Sturm bound: | \(2160\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5400, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 26016 | 26016 | 0 |
| Cusp forms | 25824 | 25824 | 0 |
| Eisenstein series | 192 | 192 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(5400, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.