Defining parameters
Level: | \( N \) | \(=\) | \( 4 = 2^{2} \) |
Weight: | \( k \) | \(=\) | \( 35 \) |
Character orbit: | \([\chi]\) | \(=\) | 4.b (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4 \) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 1 \) | ||
Sturm bound: | \(17\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{35}(4, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 18 | 18 | 0 |
Cusp forms | 16 | 16 | 0 |
Eisenstein series | 2 | 2 | 0 |
Trace form
Decomposition of \(S_{35}^{\mathrm{new}}(4, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
4.35.b.a | $16$ | $29.290$ | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) | None | \(-27372\) | \(0\) | \(-21372255840\) | \(0\) | \(q+(-1711+\beta _{1})q^{2}+(19-76\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots\) |