Defining parameters
| Level: | \( N \) | \(=\) | \( 5040 = 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5040.nf (of order \(12\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 5040 \) |
| Character field: | \(\Q(\zeta_{12})\) | ||
| Sturm bound: | \(2304\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5040, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 4640 | 4640 | 0 |
| Cusp forms | 4576 | 4576 | 0 |
| Eisenstein series | 64 | 64 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(5040, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.