Defining parameters
| Level: | \( N \) | \(=\) | \( 2916 = 2^{2} \cdot 3^{6} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2916.l (of order \(18\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 108 \) |
| Character field: | \(\Q(\zeta_{18})\) | ||
| Sturm bound: | \(972\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2916, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3132 | 1332 | 1800 |
| Cusp forms | 2700 | 1260 | 1440 |
| Eisenstein series | 432 | 72 | 360 |
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
\( S_{2}^{\mathrm{old}}(2916, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(108, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(324, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(972, [\chi])\)\(^{\oplus 2}\)