Defining parameters
| Level: | \( N \) | \(=\) | \( 15800 = 2^{3} \cdot 5^{2} \cdot 79 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 15800.k (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 40 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(4800\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(15800, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2412 | 1404 | 1008 |
| Cusp forms | 2388 | 1404 | 984 |
| Eisenstein series | 24 | 0 | 24 |
Decomposition of \(S_{2}^{\mathrm{new}}(15800, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(15800, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(15800, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(40, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(200, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3160, [\chi])\)\(^{\oplus 2}\)