Defining parameters
| Level: | \( N \) | \(=\) | \( 5625 = 3^{2} \cdot 5^{4} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5625.bv (of order \(1500\) and degree \(400\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 5625 \) |
| Character field: | \(\Q(\zeta_{1500})\) | ||
| Sturm bound: | \(1500\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5625, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 300800 | 300800 | 0 |
| Cusp forms | 299200 | 299200 | 0 |
| Eisenstein series | 1600 | 1600 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(5625, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.