Defining parameters
| Level: | \( N \) | \(=\) | \( 700 = 2^{2} \cdot 5^{2} \cdot 7 \) |
| Weight: | \( k \) | \(=\) | \( 6 \) |
| Character orbit: | \([\chi]\) | \(=\) | 700.bj (of order \(20\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 100 \) |
| Character field: | \(\Q(\zeta_{20})\) | ||
| Sturm bound: | \(720\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(700, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 4832 | 3600 | 1232 |
| Cusp forms | 4768 | 3600 | 1168 |
| Eisenstein series | 64 | 0 | 64 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(700, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(700, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(700, [\chi]) \simeq \) \(S_{6}^{\mathrm{new}}(100, [\chi])\)\(^{\oplus 2}\)