Defining parameters
| Level: | \( N \) | \(=\) | \( 9600 = 2^{7} \cdot 3 \cdot 5^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9600.gl (of order \(160\) and degree \(64\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 9600 \) |
| Character field: | \(\Q(\zeta_{160})\) | ||
| Sturm bound: | \(3840\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9600, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 123136 | 123136 | 0 |
| Cusp forms | 122624 | 122624 | 0 |
| Eisenstein series | 512 | 512 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(9600, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.