Defining parameters
| Level: | \( N \) | \(=\) | \( 1003 = 17 \cdot 59 \) |
| Weight: | \( k \) | \(=\) | \( 6 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1003.d (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 17 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(540\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(1003, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 452 | 436 | 16 |
| Cusp forms | 448 | 436 | 12 |
| Eisenstein series | 4 | 0 | 4 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(1003, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(1003, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(1003, [\chi]) \simeq \) \(S_{6}^{\mathrm{new}}(17, [\chi])\)\(^{\oplus 2}\)