Defining parameters
| Level: | \( N \) | \(=\) | \( 5687 = 11^{2} \cdot 47 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5687.b (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 517 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(1056\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5687, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 540 | 440 | 100 |
| Cusp forms | 516 | 424 | 92 |
| Eisenstein series | 24 | 16 | 8 |
Decomposition of \(S_{2}^{\mathrm{new}}(5687, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5687, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5687, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(517, [\chi])\)\(^{\oplus 2}\)