Defining parameters
| Level: | \( N \) | \(=\) | \( 5600 = 2^{5} \cdot 5^{2} \cdot 7 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5600.dd (of order \(10\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1400 \) |
| Character field: | \(\Q(\zeta_{10})\) | ||
| Sturm bound: | \(1920\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5600, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3904 | 976 | 2928 |
| Cusp forms | 3776 | 944 | 2832 |
| Eisenstein series | 128 | 32 | 96 |
Decomposition of \(S_{2}^{\mathrm{new}}(5600, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5600, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5600, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1400, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2800, [\chi])\)\(^{\oplus 2}\)