Defining parameters
Level: | \( N \) | \(=\) | \( 6042 = 2 \cdot 3 \cdot 19 \cdot 53 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6042.ce (of order \(117\) and degree \(72\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1007 \) |
Character field: | \(\Q(\zeta_{117})\) | ||
Sturm bound: | \(2160\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6042, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 78336 | 12960 | 65376 |
Cusp forms | 77184 | 12960 | 64224 |
Eisenstein series | 1152 | 0 | 1152 |
Decomposition of \(S_{2}^{\mathrm{new}}(6042, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6042, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6042, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1007, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2014, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3021, [\chi])\)\(^{\oplus 2}\)