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Results (5 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 29
1856.2.a.q 1856.a 1.a $2$ $14.820$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(4\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}-q^{5}+2q^{7}-2\beta q^{9}+\cdots\)
1856.2.a.r 1856.a 1.a $2$ $14.820$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(2\) \(0\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}+q^{5}+2\beta q^{7}-2\beta q^{9}+\cdots\)
1856.2.a.u 1856.a 1.a $2$ $14.820$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(-2\) \(-4\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}-q^{5}-2q^{7}+2\beta q^{9}+(1+\cdots)q^{11}+\cdots\)
1856.2.a.v 1856.a 1.a $2$ $14.820$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(-8\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}+(1-2\beta )q^{5}-4q^{7}+2\beta q^{9}+\cdots\)
1856.2.a.x 1856.a 1.a $3$ $14.820$ 3.3.568.1 None \(0\) \(-2\) \(-4\) \(0\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+(-1+\beta _{2})q^{5}+(2+\cdots)q^{9}+\cdots\)
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