Defining parameters
| Level: | \( N \) | \(=\) | \( 2916 = 2^{2} \cdot 3^{6} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2916.u (of order \(243\) and degree \(162\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 729 \) |
| Character field: | \(\Q(\zeta_{243})\) | ||
| Sturm bound: | \(972\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2916, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 79218 | 13122 | 66096 |
| Cusp forms | 78246 | 13122 | 65124 |
| Eisenstein series | 972 | 0 | 972 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2916, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2916, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2916, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(729, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1458, [\chi])\)\(^{\oplus 2}\)