Defining parameters
| Level: | \( N \) | \(=\) | \( 7220 = 2^{2} \cdot 5 \cdot 19^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7220.by (of order \(114\) and degree \(36\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 7220 \) |
| Character field: | \(\Q(\zeta_{114})\) | ||
| Sturm bound: | \(2280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7220, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 41184 | 41184 | 0 |
| Cusp forms | 40896 | 40896 | 0 |
| Eisenstein series | 288 | 288 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(7220, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.