Defining parameters
| Level: | \( N \) | \(=\) | \( 6034 = 2 \cdot 7 \cdot 431 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6034.bc (of order \(645\) and degree \(336\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3017 \) |
| Character field: | \(\Q(\zeta_{645})\) | ||
| Sturm bound: | \(1728\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6034, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 291648 | 96768 | 194880 |
| Cusp forms | 288960 | 96768 | 192192 |
| Eisenstein series | 2688 | 0 | 2688 |
Decomposition of \(S_{2}^{\mathrm{new}}(6034, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6034, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6034, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3017, [\chi])\)\(^{\oplus 2}\)