Defining parameters
| Level: | \( N \) | \(=\) | \( 9900 = 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9900.mc (of order \(60\) and degree \(16\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 9900 \) |
| Character field: | \(\Q(\zeta_{60})\) | ||
| Sturm bound: | \(4320\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9900, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 34688 | 34688 | 0 |
| Cusp forms | 34432 | 34432 | 0 |
| Eisenstein series | 256 | 256 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(9900, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.