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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.a 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.d 6240.a 1.a $1$ $49.827$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-q^{13}+q^{15}+2q^{17}+\cdots\)
6240.2.a.bj 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.bk 6240.a 1.a $2$ $49.827$ \(\Q(\sqrt{33}) \) None \(0\) \(-2\) \(-2\) \(3\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+(1+\beta )q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
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