Defining parameters
Level: | \( N \) | \(=\) | \( 6048 = 2^{5} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6048.gg (of order \(18\) and degree \(6\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1512 \) |
Character field: | \(\Q(\zeta_{18})\) | ||
Sturm bound: | \(2304\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6048, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 7008 | 1752 | 5256 |
Cusp forms | 6816 | 1704 | 5112 |
Eisenstein series | 192 | 48 | 144 |
Decomposition of \(S_{2}^{\mathrm{new}}(6048, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6048, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6048, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1512, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3024, [\chi])\)\(^{\oplus 2}\)