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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 5
6480.2.a.s 6480.a 1.a $1$ $51.743$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{11}+7q^{19}+6q^{23}+q^{25}+\cdots\)
6480.2.a.w 6480.a 1.a $1$ $51.743$ \(\Q\) None \(0\) \(0\) \(1\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}+3q^{11}+2q^{17}-q^{19}+\cdots\)
6480.2.a.bm 6480.a 1.a $2$ $51.743$ \(\Q(\sqrt{57}) \) None \(0\) \(0\) \(2\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-\beta q^{7}+(-3+\beta )q^{11}+(2+\beta )q^{13}+\cdots\)
6480.2.a.bo 6480.a 1.a $2$ $51.743$ \(\Q(\sqrt{33}) \) None \(0\) \(0\) \(2\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-\beta q^{7}+(1-\beta )q^{11}-\beta q^{13}+\cdots\)
6480.2.a.bx 6480.a 1.a $3$ $51.743$ 3.3.564.1 None \(0\) \(0\) \(3\) \(5\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+(1+\beta _{1}-\beta _{2})q^{7}+(1+\beta _{2})q^{11}+\cdots\)
6480.2.a.cb 6480.a 1.a $4$ $51.743$ 4.4.29268.1 None \(0\) \(0\) \(4\) \(1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+\beta _{2}q^{7}+(\beta _{2}+\beta _{3})q^{11}+(1+\beta _{1}+\cdots)q^{13}+\cdots\)
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