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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 23
1656.2.a.a 1656.a 1.a $1$ $13.223$ \(\Q\) None \(0\) \(0\) \(-4\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-4q^{5}+2q^{7}+2q^{13}+4q^{17}-6q^{19}+\cdots\)
1656.2.a.c 1656.a 1.a $1$ $13.223$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{7}-5q^{13}+6q^{17}+6q^{19}-q^{23}+\cdots\)
1656.2.a.d 1656.a 1.a $1$ $13.223$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{7}+2q^{13}-8q^{17}+6q^{19}-q^{23}+\cdots\)
1656.2.a.e 1656.a 1.a $1$ $13.223$ \(\Q\) None \(0\) \(0\) \(0\) \(4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+4q^{7}-6q^{11}-2q^{13}-6q^{17}-6q^{19}+\cdots\)
1656.2.a.f 1656.a 1.a $1$ $13.223$ \(\Q\) None \(0\) \(0\) \(2\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}-4q^{7}-2q^{13}+2q^{17}-4q^{19}+\cdots\)
1656.2.a.j 1656.a 1.a $2$ $13.223$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(-4\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+(-2+2\beta )q^{11}+(3-\beta )q^{13}+\cdots\)
1656.2.a.k 1656.a 1.a $2$ $13.223$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(-2\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{5}+(-1+\beta )q^{7}+(2-2\beta )q^{11}+\cdots\)
1656.2.a.m 1656.a 1.a $2$ $13.223$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(2\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{5}+(-1-\beta )q^{7}+(-2-2\beta )q^{11}+\cdots\)
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