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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)

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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 5 29
1160.2.a.d 1160.a 1.a $1$ $9.263$ \(\Q\) None 1160.2.a.d \(0\) \(2\) \(-1\) \(4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}-q^{5}+4q^{7}+q^{9}+6q^{13}+\cdots\)
1160.2.a.g 1160.a 1.a $3$ $9.263$ 3.3.229.1 None 1160.2.a.g \(0\) \(1\) \(-3\) \(-3\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{3}-q^{5}+(-1+\beta _{1})q^{7}+(\beta _{1}+\cdots)q^{9}+\cdots\)
1160.2.a.h 1160.a 1.a $5$ $9.263$ 5.5.3145252.1 None 1160.2.a.h \(0\) \(-1\) \(-5\) \(7\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{3}q^{3}-q^{5}+(1-\beta _{2})q^{7}+(2-\beta _{2}+\cdots)q^{9}+\cdots\)
1160.2.a.i 1160.a 1.a $5$ $9.263$ 5.5.6083172.1 None 1160.2.a.i \(0\) \(-1\) \(5\) \(-1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+q^{5}+(-\beta _{2}+\beta _{3})q^{7}+(2+\cdots)q^{9}+\cdots\)
1160.2.a.j 1160.a 1.a $5$ $9.263$ 5.5.580484.1 None 1160.2.a.j \(0\) \(3\) \(5\) \(7\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{3})q^{3}+q^{5}+(1-\beta _{2}+\beta _{3})q^{7}+\cdots\)
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