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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.be 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(-4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{7}-6q^{11}+4q^{13}-3q^{17}+\cdots\)
8640.2.a.bm 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}+6q^{13}+7q^{17}-7q^{19}+\cdots\)
8640.2.a.bp 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.bq 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{7}+2q^{11}+3q^{13}+2q^{17}+\cdots\)
8640.2.a.br 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.by 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.cd 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(1\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}+4q^{11}+2q^{13}-5q^{17}+\cdots\)
8640.2.a.de 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.df 8640.a 1.a $2$ $68.991$ \(\Q(\sqrt{13}) \) None \(0\) \(0\) \(2\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+(1+\beta )q^{7}+(1-\beta )q^{11}+(-3+\cdots)q^{13}+\cdots\)
8640.2.a.dg 8640.a 1.a $2$ $68.991$ \(\Q(\sqrt{7}) \) None \(0\) \(0\) \(2\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+(1+\beta )q^{7}+(1+\beta )q^{11}+(-1+\cdots)q^{13}+\cdots\)
8640.2.a.dh 8640.a 1.a $2$ $68.991$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(2\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+(1+\beta )q^{7}+(1-3\beta )q^{11}+(3+\cdots)q^{13}+\cdots\)
8640.2.a.dm 8640.a 1.a $3$ $68.991$ 3.3.1509.1 None \(0\) \(0\) \(3\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+\beta _{2}q^{7}+(-\beta _{1}-\beta _{2})q^{11}+(-2+\cdots)q^{13}+\cdots\)
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