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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 3
768.4.a.b 768.a 1.a $1$ $45.313$ \(\Q\) None \(0\) \(-3\) \(8\) \(-12\) $-$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}+8q^{5}-12q^{7}+9q^{9}+12q^{11}+\cdots\)
768.4.a.e 768.a 1.a $2$ $45.313$ \(\Q(\sqrt{13}) \) None \(0\) \(-6\) \(-8\) \(-16\) $-$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}+(-4-\beta )q^{5}+(-8-\beta )q^{7}+\cdots\)
768.4.a.g 768.a 1.a $2$ $45.313$ \(\Q(\sqrt{3}) \) None \(0\) \(-6\) \(0\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}+3\beta q^{5}+\beta q^{7}+9q^{9}-2^{4}\beta q^{13}+\cdots\)
768.4.a.q 768.a 1.a $3$ $45.313$ 3.3.1436.1 None \(0\) \(-9\) \(-10\) \(14\) $-$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}+(-3-\beta _{2})q^{5}+(5-\beta _{1})q^{7}+\cdots\)
768.4.a.u 768.a 1.a $4$ $45.313$ 4.4.9792.1 None \(0\) \(-12\) \(0\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}+\beta _{1}q^{5}+(-\beta _{1}+\beta _{3})q^{7}+9q^{9}+\cdots\)
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