Defining parameters
| Level: | \( N \) | \(=\) | \( 6020 = 2^{2} \cdot 5 \cdot 7 \cdot 43 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6020.gc (of order \(42\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1505 \) |
| Character field: | \(\Q(\zeta_{42})\) | ||
| Sturm bound: | \(2112\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6020, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 12816 | 2112 | 10704 |
| Cusp forms | 12528 | 2112 | 10416 |
| Eisenstein series | 288 | 0 | 288 |
Decomposition of \(S_{2}^{\mathrm{new}}(6020, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6020, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6020, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1505, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3010, [\chi])\)\(^{\oplus 2}\)