Defining parameters
| Level: | \( N \) | \(=\) | \( 9800 = 2^{3} \cdot 5^{2} \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9800.fi (of order \(70\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 9800 \) |
| Character field: | \(\Q(\zeta_{70})\) | ||
| Sturm bound: | \(3360\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9800, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 40416 | 40416 | 0 |
| Cusp forms | 40224 | 40224 | 0 |
| Eisenstein series | 192 | 192 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(9800, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.