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Results (4 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 5 67
1340.2.a.b 1340.a 1.a $1$ $10.700$ \(\Q\) None \(0\) \(1\) \(-1\) \(1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}-2q^{9}-6q^{11}+2q^{13}+\cdots\)
1340.2.a.d 1340.a 1.a $2$ $10.700$ \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(2\) \(-3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+q^{5}+(-2+\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
1340.2.a.f 1340.a 1.a $3$ $10.700$ \(\Q(\zeta_{14})^+\) None \(0\) \(-2\) \(3\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{3}+q^{5}+(1-3\beta _{1}+2\beta _{2})q^{7}+\cdots\)
1340.2.a.i 1340.a 1.a $5$ $10.700$ 5.5.1465016.1 None \(0\) \(-2\) \(-5\) \(-10\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-q^{5}+(-2+\beta _{2})q^{7}+(2+\beta _{1}+\cdots)q^{9}+\cdots\)
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