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Results (8 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 19
3648.2.a.s 3648.a 1.a $1$ $29.129$ \(\Q\) None \(0\) \(1\) \(-4\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-4q^{5}+4q^{7}+q^{9}+4q^{11}+\cdots\)
3648.2.a.z 3648.a 1.a $1$ $29.129$ \(\Q\) None \(0\) \(1\) \(-1\) \(-3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-3q^{7}+q^{9}+5q^{11}+2q^{13}+\cdots\)
3648.2.a.bb 3648.a 1.a $1$ $29.129$ \(\Q\) None \(0\) \(1\) \(0\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+4q^{7}+q^{9}-4q^{11}-2q^{17}+\cdots\)
3648.2.a.bg 3648.a 1.a $1$ $29.129$ \(\Q\) None \(0\) \(1\) \(2\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+4q^{7}+q^{9}+4q^{11}+\cdots\)
3648.2.a.bi 3648.a 1.a $1$ $29.129$ \(\Q\) None \(0\) \(1\) \(3\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+3q^{5}+q^{7}+q^{9}+5q^{11}+6q^{13}+\cdots\)
3648.2.a.bs 3648.a 1.a $2$ $29.129$ \(\Q(\sqrt{41}) \) None \(0\) \(2\) \(1\) \(-3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta q^{5}+(-2+\beta )q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots\)
3648.2.a.bt 3648.a 1.a $2$ $29.129$ \(\Q(\sqrt{33}) \) None \(0\) \(2\) \(1\) \(-1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta q^{5}-\beta q^{7}+q^{9}+(-4+\beta )q^{11}+\cdots\)
3648.2.a.bu 3648.a 1.a $2$ $29.129$ \(\Q(\sqrt{17}) \) None \(0\) \(2\) \(3\) \(-1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+(1+\beta )q^{5}+(-1+\beta )q^{7}+q^{9}+\cdots\)
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