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Results (12 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 5
8640.2.a.d 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(-3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-3q^{7}+2q^{11}-5q^{13}+2q^{17}+\cdots\)
8640.2.a.f 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}-3q^{11}+q^{13}-3q^{17}+\cdots\)
8640.2.a.g 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}-2q^{13}-3q^{17}+5q^{19}+\cdots\)
8640.2.a.p 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{11}+3q^{17}-q^{19}-3q^{23}+\cdots\)
8640.2.a.q 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}-2q^{11}+5q^{13}-4q^{17}+\cdots\)
8640.2.a.s 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}+6q^{11}+q^{13}-q^{19}+\cdots\)
8640.2.a.u 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-3q^{11}+5q^{13}-3q^{17}+\cdots\)
8640.2.a.bd 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{7}-2q^{11}-4q^{13}-q^{17}+\cdots\)
8640.2.a.ci 8640.a 1.a $2$ $68.991$ \(\Q(\sqrt{10}) \) None \(0\) \(0\) \(-2\) \(-4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+(-2+\beta )q^{7}+(2+\beta )q^{11}-\beta q^{13}+\cdots\)
8640.2.a.cn 8640.a 1.a $2$ $68.991$ \(\Q(\sqrt{73}) \) None \(0\) \(0\) \(-2\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-\beta q^{7}+(-1+\beta )q^{11}-3q^{13}+\cdots\)
8640.2.a.co 8640.a 1.a $2$ $68.991$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+\beta q^{7}+\beta q^{11}+(2+3\beta )q^{13}+\cdots\)
8640.2.a.cu 8640.a 1.a $2$ $68.991$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(-2\) \(3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+(1+\beta )q^{7}+(-2+\beta )q^{11}-q^{13}+\cdots\)
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