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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 3 5 13
6240.2.a.s 6240.a 1.a $1$ $49.827$ \(\Q\) None \(0\) \(1\) \(-1\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-q^{7}+q^{9}+q^{11}-q^{13}+\cdots\)
6240.2.a.x 6240.a 1.a $1$ $49.827$ \(\Q\) None \(0\) \(1\) \(-1\) \(4\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+4q^{7}+q^{9}+4q^{11}-q^{13}+\cdots\)
6240.2.a.bp 6240.a 1.a $2$ $49.827$ \(\Q(\sqrt{33}) \) None \(0\) \(2\) \(-2\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-\beta q^{7}+q^{9}+(-4+\beta )q^{11}+\cdots\)
6240.2.a.ca 6240.a 1.a $3$ $49.827$ 3.3.229.1 None \(0\) \(3\) \(-3\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+\beta _{1}q^{7}+q^{9}+(1+\beta _{1}+\cdots)q^{11}+\cdots\)
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