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Results (5 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
64.8.a.b 64.a 1.a $1$ $19.993$ \(\Q\) None \(0\) \(-44\) \(-430\) \(-1224\) $+$ $\mathrm{SU}(2)$ \(q-44q^{3}-430q^{5}-1224q^{7}-251q^{9}+\cdots\)
64.8.a.c 64.a 1.a $1$ $19.993$ \(\Q\) None \(0\) \(-12\) \(210\) \(1016\) $+$ $\mathrm{SU}(2)$ \(q-12q^{3}+210q^{5}+1016q^{7}-2043q^{9}+\cdots\)
64.8.a.g 64.a 1.a $1$ $19.993$ \(\Q\) None \(0\) \(84\) \(82\) \(-456\) $+$ $\mathrm{SU}(2)$ \(q+84q^{3}+82q^{5}-456q^{7}+4869q^{9}+\cdots\)
64.8.a.h 64.a 1.a $2$ $19.993$ \(\Q(\sqrt{10}) \) None \(0\) \(-16\) \(180\) \(-1248\) $+$ $\mathrm{SU}(2)$ \(q+(-8+\beta )q^{3}+(90-8\beta )q^{5}+(-624+\cdots)q^{7}+\cdots\)
64.8.a.j 64.a 1.a $2$ $19.993$ \(\Q(\sqrt{10}) \) None \(0\) \(16\) \(180\) \(1248\) $+$ $\mathrm{SU}(2)$ \(q+(8+\beta )q^{3}+(90+8\beta )q^{5}+(624+14\beta )q^{7}+\cdots\)
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