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Results (6 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 7 41
6027.2.a.i 6027.a 1.a $2$ $48.126$ \(\Q(\sqrt{2}) \) None \(-2\) \(-2\) \(2\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}-q^{3}+(1-2\beta )q^{4}+q^{5}+\cdots\)
6027.2.a.j 6027.a 1.a $2$ $48.126$ \(\Q(\sqrt{17}) \) None \(-1\) \(-2\) \(3\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}-q^{3}+(2+\beta )q^{4}+(2-\beta )q^{5}+\cdots\)
6027.2.a.k 6027.a 1.a $2$ $48.126$ \(\Q(\sqrt{17}) \) None \(-1\) \(2\) \(-4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+q^{3}+(2+\beta )q^{4}-2q^{5}-\beta q^{6}+\cdots\)
6027.2.a.l 6027.a 1.a $2$ $48.126$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{4}-2\beta q^{5}+q^{9}+(4+\beta )q^{11}+\cdots\)
6027.2.a.m 6027.a 1.a $2$ $48.126$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-4\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}-q^{3}+(-2+\beta )q^{5}-\beta q^{6}+\cdots\)
6027.2.a.n 6027.a 1.a $2$ $48.126$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{4}-2\beta q^{5}+q^{9}+(4-\beta )q^{11}+\cdots\)
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