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Results (11 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.b 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.c 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(-3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-3q^{7}-2q^{11}+5q^{13}+8q^{17}+\cdots\)
8640.2.a.h 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.r 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.t 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.v 8640.a 1.a $1$ $68.991$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-q^{11}-q^{13}-q^{17}+\cdots\)
8640.2.a.y 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.cr 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.cs 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.ct 8640.a 1.a $2$ $68.991$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(-2\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+(1+\beta )q^{7}+(-1+3\beta )q^{11}+\cdots\)
8640.2.a.dl 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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