Defining parameters
| Level: | \( N \) | \(=\) | \( 24200 = 2^{3} \cdot 5^{2} \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 24200.kv (of order \(110\) and degree \(40\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 24200 \) |
| Character field: | \(\Q(\zeta_{110})\) | ||
| Sturm bound: | \(7920\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(24200, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 158560 | 158560 | 0 |
| Cusp forms | 158240 | 158240 | 0 |
| Eisenstein series | 320 | 320 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(24200, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.