Defining parameters
| Level: | \( N \) | \(=\) | \( 5635 = 5 \cdot 7^{2} \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5635.l (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 115 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(1344\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5635, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1376 | 1004 | 372 |
| Cusp forms | 1312 | 964 | 348 |
| Eisenstein series | 64 | 40 | 24 |
Decomposition of \(S_{2}^{\mathrm{new}}(5635, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5635, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5635, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(115, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(805, [\chi])\)\(^{\oplus 2}\)