Defining parameters
Level: | \( N \) | \(=\) | \( 4020 = 2^{2} \cdot 3 \cdot 5 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4020.f (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 201 \) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 2 \) | ||
Sturm bound: | \(1632\) | ||
Trace bound: | \(5\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4020, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 828 | 92 | 736 |
Cusp forms | 804 | 92 | 712 |
Eisenstein series | 24 | 0 | 24 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(4020, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
4020.2.f.a | $46$ | $32.100$ | None | \(0\) | \(0\) | \(-46\) | \(0\) | ||
4020.2.f.b | $46$ | $32.100$ | None | \(0\) | \(0\) | \(46\) | \(0\) |
Decomposition of \(S_{2}^{\mathrm{old}}(4020, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4020, [\chi]) \cong \)