Defining parameters
| Level: | \( N \) | \(=\) | \( 24752 = 2^{4} \cdot 7 \cdot 13 \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 24752.bpd (of order \(24\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 24752 \) |
| Character field: | \(\Q(\zeta_{24})\) | ||
| Sturm bound: | \(8064\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(24752, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 32320 | 32320 | 0 |
| Cusp forms | 32192 | 32192 | 0 |
| Eisenstein series | 128 | 128 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(24752, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.