Defining parameters
| Level: | \( N \) | \(=\) | \( 12996 = 2^{2} \cdot 3^{2} \cdot 19^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 12996.ce (of order \(18\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 228 \) |
| Character field: | \(\Q(\zeta_{18})\) | ||
| Sturm bound: | \(4560\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(12996, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 14160 | 4080 | 10080 |
| Cusp forms | 13200 | 4080 | 9120 |
| Eisenstein series | 960 | 0 | 960 |
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
\( S_{2}^{\mathrm{old}}(12996, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(228, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(684, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4332, [\chi])\)\(^{\oplus 2}\)