Defining parameters
| Level: | \( N \) | \(=\) | \( 16245 = 3^{2} \cdot 5 \cdot 19^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 16245.ek (of order \(114\) and degree \(36\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3249 \) |
| Character field: | \(\Q(\zeta_{114})\) | ||
| Sturm bound: | \(4560\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(16245, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 82224 | 54720 | 27504 |
| Cusp forms | 81936 | 54720 | 27216 |
| Eisenstein series | 288 | 0 | 288 |
Decomposition of \(S_{2}^{\mathrm{new}}(16245, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(16245, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(16245, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(3249, [\chi])\)\(^{\oplus 2}\)