Defining parameters
| Level: | \( N \) | \(=\) | \( 2800 = 2^{4} \cdot 5^{2} \cdot 7 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2800.eg (of order \(20\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 400 \) |
| Character field: | \(\Q(\zeta_{20})\) | ||
| Sturm bound: | \(960\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2800, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3872 | 2880 | 992 |
| Cusp forms | 3808 | 2880 | 928 |
| Eisenstein series | 64 | 0 | 64 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2800, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2800, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2800, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(400, [\chi])\)\(^{\oplus 2}\)