Defining parameters
Level: | \( N \) | \(=\) | \( 8005 = 5 \cdot 1601 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8005.cj (of order \(200\) and degree \(80\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1601 \) |
Character field: | \(\Q(\zeta_{200})\) | ||
Sturm bound: | \(1602\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8005, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 64160 | 42720 | 21440 |
Cusp forms | 63840 | 42720 | 21120 |
Eisenstein series | 320 | 0 | 320 |
Decomposition of \(S_{2}^{\mathrm{new}}(8005, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8005, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8005, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1601, [\chi])\)\(^{\oplus 2}\)