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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.a 1160.a 1.a $1$ $9.263$ \(\Q\) None 1160.2.a.a \(0\) \(-2\) \(-1\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
1160.2.a.b 1160.a 1.a $1$ $9.263$ \(\Q\) None 1160.2.a.b \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-3q^{9}-2q^{13}-6q^{17}-8q^{19}+\cdots\)
1160.2.a.c 1160.a 1.a $1$ $9.263$ \(\Q\) None 1160.2.a.c \(0\) \(2\) \(-1\) \(-4\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}-q^{5}-4q^{7}+q^{9}-2q^{13}+\cdots\)
1160.2.a.e 1160.a 1.a $3$ $9.263$ 3.3.148.1 None 1160.2.a.e \(0\) \(-2\) \(-3\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}-q^{5}+(1-\beta _{2})q^{7}+\cdots\)
1160.2.a.f 1160.a 1.a $3$ $9.263$ 3.3.148.1 None 1160.2.a.f \(0\) \(-2\) \(3\) \(-4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+q^{5}+(-1-\beta _{1})q^{7}+\cdots\)
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