Defining parameters
| Level: | \( N \) | \(=\) | \( 7600 = 2^{4} \cdot 5^{2} \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7600.iu (of order \(180\) and degree \(48\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 7600 \) |
| Character field: | \(\Q(\zeta_{180})\) | ||
| Sturm bound: | \(2400\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7600, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 57792 | 57792 | 0 |
| Cusp forms | 57408 | 57408 | 0 |
| Eisenstein series | 384 | 384 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(7600, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.