Defining parameters
Level: | \( N \) | \(=\) | \( 5635 = 5 \cdot 7^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5635.do (of order \(924\) and degree \(240\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 5635 \) |
Character field: | \(\Q(\zeta_{924})\) | ||
Sturm bound: | \(1344\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5635, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 162240 | 162240 | 0 |
Cusp forms | 160320 | 160320 | 0 |
Eisenstein series | 1920 | 1920 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(5635, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.