Defining parameters
| Level: | \( N \) | \(=\) | \( 6042 = 2 \cdot 3 \cdot 19 \cdot 53 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6042.bt (of order \(52\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 159 \) |
| Character field: | \(\Q(\zeta_{52})\) | ||
| Sturm bound: | \(2160\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6042, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 26112 | 7776 | 18336 |
| Cusp forms | 25728 | 7776 | 17952 |
| Eisenstein series | 384 | 0 | 384 |
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
\( S_{2}^{\mathrm{old}}(6042, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(159, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(318, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3021, [\chi])\)\(^{\oplus 2}\)