Defining parameters
| Level: | \( N \) | \(=\) | \( 4440 = 2^{3} \cdot 3 \cdot 5 \cdot 37 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4440.it (of order \(36\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4440 \) |
| Character field: | \(\Q(\zeta_{36})\) | ||
| Sturm bound: | \(1824\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4440, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 11040 | 11040 | 0 |
| Cusp forms | 10848 | 10848 | 0 |
| Eisenstein series | 192 | 192 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(4440, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.