Defining parameters
Level: | \( N \) | \(=\) | \( 1656 = 2^{3} \cdot 3^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1656.u (of order \(6\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 207 \) |
Character field: | \(\Q(\zeta_{6})\) | ||
Sturm bound: | \(576\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1656, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 592 | 144 | 448 |
Cusp forms | 560 | 144 | 416 |
Eisenstein series | 32 | 0 | 32 |
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
\( S_{2}^{\mathrm{old}}(1656, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(207, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(414, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(828, [\chi])\)\(^{\oplus 2}\)