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Results (12 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 11
1584.2.a.a 1584.a 1.a $1$ $12.648$ \(\Q\) None \(0\) \(0\) \(-4\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-4q^{5}+2q^{7}-q^{11}+6q^{17}-4q^{19}+\cdots\)
1584.2.a.e 1584.a 1.a $1$ $12.648$ \(\Q\) None \(0\) \(0\) \(-2\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+2q^{7}+q^{11}-2q^{13}-4q^{17}+\cdots\)
1584.2.a.g 1584.a 1.a $1$ $12.648$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}+q^{11}+4q^{13}+2q^{17}+\cdots\)
1584.2.a.i 1584.a 1.a $1$ $12.648$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{7}-q^{11}+2q^{13}+6q^{17}-2q^{19}+\cdots\)
1584.2.a.m 1584.a 1.a $1$ $12.648$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{7}+q^{11}-6q^{13}+6q^{17}+2q^{19}+\cdots\)
1584.2.a.n 1584.a 1.a $1$ $12.648$ \(\Q\) None \(0\) \(0\) \(2\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}-4q^{7}-q^{11}+6q^{13}-6q^{17}+\cdots\)
1584.2.a.o 1584.a 1.a $1$ $12.648$ \(\Q\) None \(0\) \(0\) \(2\) \(-4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}-4q^{7}+q^{11}-2q^{13}+2q^{17}+\cdots\)
1584.2.a.q 1584.a 1.a $1$ $12.648$ \(\Q\) None \(0\) \(0\) \(3\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{5}+2q^{7}-q^{11}+6q^{17}-4q^{19}+\cdots\)
1584.2.a.r 1584.a 1.a $1$ $12.648$ \(\Q\) None \(0\) \(0\) \(4\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+4q^{5}+2q^{7}-q^{11}-2q^{13}-2q^{17}+\cdots\)
1584.2.a.s 1584.a 1.a $1$ $12.648$ \(\Q\) None \(0\) \(0\) \(4\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+4q^{5}+2q^{7}+q^{11}+4q^{13}+2q^{17}+\cdots\)
1584.2.a.t 1584.a 1.a $2$ $12.648$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(-3\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{5}+(2-2\beta )q^{7}-q^{11}+\cdots\)
1584.2.a.v 1584.a 1.a $2$ $12.648$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(-4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{5}+(-2+\beta )q^{7}+q^{11}+(2+\beta )q^{13}+\cdots\)
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