Defining parameters
Level: | \( N \) | \(=\) | \( 8035 = 5 \cdot 1607 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8035.r (of order \(292\) and degree \(144\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8035 \) |
Character field: | \(\Q(\zeta_{292})\) | ||
Sturm bound: | \(1608\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8035, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 116064 | 116064 | 0 |
Cusp forms | 115488 | 115488 | 0 |
Eisenstein series | 576 | 576 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(8035, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.