Defining parameters
| Level: | \( N \) | \(=\) | \( 6046 = 2 \cdot 3023 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6046.c (of order \(1511\) and degree \(1510\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3023 \) |
| Character field: | \(\Q(\zeta_{1511})\) | ||
| Sturm bound: | \(1512\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6046, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1144580 | 380520 | 764060 |
| Cusp forms | 1138540 | 380520 | 758020 |
| Eisenstein series | 6040 | 0 | 6040 |
Decomposition of \(S_{2}^{\mathrm{new}}(6046, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6046, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6046, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3023, [\chi])\)\(^{\oplus 2}\)