Defining parameters
| Level: | \( N \) | \(=\) | \( 1028 = 2^{2} \cdot 257 \) |
| Weight: | \( k \) | \(=\) | \( 6 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1028.p (of order \(128\) and degree \(64\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 257 \) |
| Character field: | \(\Q(\zeta_{128})\) | ||
| Sturm bound: | \(774\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(1028, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 41472 | 6848 | 34624 |
| Cusp forms | 41088 | 6848 | 34240 |
| Eisenstein series | 384 | 0 | 384 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(1028, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(1028, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(1028, [\chi]) \simeq \) \(S_{6}^{\mathrm{new}}(257, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(514, [\chi])\)\(^{\oplus 2}\)