Defining parameters
| Level: | \( N \) | \(=\) | \( 6078 = 2 \cdot 3 \cdot 1013 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6078.t (of order \(506\) and degree \(220\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1013 \) |
| Character field: | \(\Q(\zeta_{506})\) | ||
| Sturm bound: | \(2028\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6078, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 223960 | 37400 | 186560 |
| Cusp forms | 222200 | 37400 | 184800 |
| Eisenstein series | 1760 | 0 | 1760 |
Decomposition of \(S_{2}^{\mathrm{new}}(6078, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6078, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6078, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1013, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2026, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3039, [\chi])\)\(^{\oplus 2}\)