Defining parameters
Level: | \( N \) | \(=\) | \( 8035 = 5 \cdot 1607 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8035.s (of order \(803\) and degree \(720\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1607 \) |
Character field: | \(\Q(\zeta_{803})\) | ||
Sturm bound: | \(1608\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8035, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 580320 | 385920 | 194400 |
Cusp forms | 577440 | 385920 | 191520 |
Eisenstein series | 2880 | 0 | 2880 |
Decomposition of \(S_{2}^{\mathrm{new}}(8035, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8035, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8035, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1607, [\chi])\)\(^{\oplus 2}\)