Defining parameters
Level: | \( N \) | \(=\) | \( 912 = 2^{4} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 912.bn (of order \(6\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 57 \) |
Character field: | \(\Q(\zeta_{6})\) | ||
Sturm bound: | \(960\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(912, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1624 | 404 | 1220 |
Cusp forms | 1576 | 396 | 1180 |
Eisenstein series | 48 | 8 | 40 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(912, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(912, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(912, [\chi]) \cong \) \(S_{6}^{\mathrm{new}}(57, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(114, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(228, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(456, [\chi])\)\(^{\oplus 2}\)