Defining parameters
Level: | \( N \) | \(=\) | \( 8020 = 2^{2} \cdot 5 \cdot 401 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8020.k (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 401 \) |
Character field: | \(\Q(i)\) | ||
Sturm bound: | \(2412\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8020, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2424 | 268 | 2156 |
Cusp forms | 2400 | 268 | 2132 |
Eisenstein series | 24 | 0 | 24 |
Decomposition of \(S_{2}^{\mathrm{new}}(8020, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8020, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8020, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1604, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(401, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(802, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2005, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4010, [\chi])\)\(^{\oplus 2}\)