Defining parameters
| Level: | \( N \) | \(=\) | \( 1075 = 5^{2} \cdot 43 \) |
| Weight: | \( k \) | \(=\) | \( 6 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1075.bf (of order \(42\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 215 \) |
| Character field: | \(\Q(\zeta_{42})\) | ||
| Sturm bound: | \(660\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(1075, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 6672 | 3984 | 2688 |
| Cusp forms | 6528 | 3936 | 2592 |
| Eisenstein series | 144 | 48 | 96 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(1075, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(1075, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(1075, [\chi]) \cong \) \(S_{6}^{\mathrm{new}}(215, [\chi])\)\(^{\oplus 2}\)