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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 (6 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 3 5
1080.2.a.c 1080.a 1.a $1$ $8.624$ \(\Q\) None 1080.2.a.c \(0\) \(0\) \(-1\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{7}+2q^{11}-5q^{13}+4q^{17}+\cdots\)
1080.2.a.d 1080.a 1.a $1$ $8.624$ \(\Q\) None 1080.2.a.d \(0\) \(0\) \(-1\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{11}-3q^{17}-q^{19}-3q^{23}+\cdots\)
1080.2.a.e 1080.a 1.a $1$ $8.624$ \(\Q\) None 1080.2.a.e \(0\) \(0\) \(-1\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-4q^{11}-2q^{13}-5q^{17}+\cdots\)
1080.2.a.g 1080.a 1.a $1$ $8.624$ \(\Q\) None 1080.2.a.a \(0\) \(0\) \(1\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{7}-2q^{11}+4q^{13}-q^{17}+\cdots\)
1080.2.a.h 1080.a 1.a $1$ $8.624$ \(\Q\) None 1080.2.a.b \(0\) \(0\) \(1\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}-6q^{13}-7q^{17}+7q^{19}+\cdots\)
1080.2.a.i 1080.a 1.a $1$ $8.624$ \(\Q\) None 1080.2.a.c \(0\) \(0\) \(1\) \(-1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{7}-2q^{11}-5q^{13}-4q^{17}+\cdots\)
  displayed columns for results