Defining parameters
| Level: | \( N \) | \(=\) | \( 5415 = 3 \cdot 5 \cdot 19^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5415.cr (of order \(684\) and degree \(216\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 5415 \) |
| Character field: | \(\Q(\zeta_{684})\) | ||
| Sturm bound: | \(1520\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5415, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 165024 | 165024 | 0 |
| Cusp forms | 163296 | 163296 | 0 |
| Eisenstein series | 1728 | 1728 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(5415, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.