The results below are complete, since the LMFDB contains all newforms with trivial character and $Nk^2$ at most 40000
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Results (5 matches)
Download displayed columns for results| Label | Dim | $A$ | Field | CM | Traces | A-L signs | $q$-expansion | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| $a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | 2 | 5 | 29 | |||||||
| 1160.2.a.d | $1$ | $9.263$ | \(\Q\) | None | \(0\) | \(2\) | \(-1\) | \(4\) | $-$ | $+$ | $+$ | \(q+2q^{3}-q^{5}+4q^{7}+q^{9}+6q^{13}+\cdots\) | |
| 1160.2.a.g | $3$ | $9.263$ | 3.3.229.1 | None | \(0\) | \(1\) | \(-3\) | \(-3\) | $-$ | $+$ | $+$ | \(q-\beta _{2}q^{3}-q^{5}+(-1+\beta _{1})q^{7}+(\beta _{1}+\cdots)q^{9}+\cdots\) | |
| 1160.2.a.h | $5$ | $9.263$ | 5.5.3145252.1 | None | \(0\) | \(-1\) | \(-5\) | \(7\) | $+$ | $+$ | $-$ | \(q+\beta _{3}q^{3}-q^{5}+(1-\beta _{2})q^{7}+(2-\beta _{2}+\cdots)q^{9}+\cdots\) | |
| 1160.2.a.i | $5$ | $9.263$ | 5.5.6083172.1 | None | \(0\) | \(-1\) | \(5\) | \(-1\) | $+$ | $-$ | $+$ | \(q-\beta _{1}q^{3}+q^{5}+(-\beta _{2}+\beta _{3})q^{7}+(2+\cdots)q^{9}+\cdots\) | |
| 1160.2.a.j | $5$ | $9.263$ | 5.5.580484.1 | None | \(0\) | \(3\) | \(5\) | \(7\) | $-$ | $-$ | $-$ | \(q+(1-\beta _{3})q^{3}+q^{5}+(1-\beta _{2}+\beta _{3})q^{7}+\cdots\) | |