Defining parameters
| Level: | \( N \) | \(=\) | \( 1656 = 2^{3} \cdot 3^{2} \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1656.bk (of order \(22\) and degree \(10\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 69 \) |
| Character field: | \(\Q(\zeta_{22})\) | ||
| Sturm bound: | \(576\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1656, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3040 | 240 | 2800 |
| Cusp forms | 2720 | 240 | 2480 |
| Eisenstein series | 320 | 0 | 320 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1656, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1656, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1656, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(69, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(138, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(207, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(414, [\chi])\)\(^{\oplus 3}\)