Defining parameters
| Level: | \( N \) | \(=\) | \( 12996 = 2^{2} \cdot 3^{2} \cdot 19^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 12996.ed (of order \(342\) and degree \(108\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3249 \) |
| Character field: | \(\Q(\zeta_{342})\) | ||
| Sturm bound: | \(4560\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(12996, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 246888 | 41040 | 205848 |
| Cusp forms | 245592 | 41040 | 204552 |
| Eisenstein series | 1296 | 0 | 1296 |
Decomposition of \(S_{2}^{\mathrm{new}}(12996, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(12996, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(12996, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(3249, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(6498, [\chi])\)\(^{\oplus 2}\)