Defining parameters
Level: | \( N \) | \(=\) | \( 8002 = 2 \cdot 4001 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8002.q (of order \(200\) and degree \(80\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4001 \) |
Character field: | \(\Q(\zeta_{200})\) | ||
Sturm bound: | \(2001\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8002, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 80160 | 26720 | 53440 |
Cusp forms | 79840 | 26720 | 53120 |
Eisenstein series | 320 | 0 | 320 |
Decomposition of \(S_{2}^{\mathrm{new}}(8002, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8002, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8002, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4001, [\chi])\)\(^{\oplus 2}\)