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Results (16 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 7 11
8624.2.a.a 8624.a 1.a $1$ $68.863$ \(\Q\) None \(0\) \(-3\) \(1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}+q^{5}+6q^{9}+q^{11}+4q^{13}+\cdots\)
8624.2.a.d 8624.a 1.a $1$ $68.863$ \(\Q\) None \(0\) \(-3\) \(4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}+4q^{5}+6q^{9}+q^{11}+q^{13}+\cdots\)
8624.2.a.o 8624.a 1.a $1$ $68.863$ \(\Q\) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}-3q^{9}+q^{11}-2q^{13}-2q^{17}+\cdots\)
8624.2.a.r 8624.a 1.a $1$ $68.863$ \(\Q\) None \(0\) \(0\) \(4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+4q^{5}-3q^{9}+q^{11}-2q^{13}+4q^{17}+\cdots\)
8624.2.a.s 8624.a 1.a $1$ $68.863$ \(\Q\) None \(0\) \(1\) \(-3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{5}-2q^{9}+q^{11}+4q^{13}+\cdots\)
8624.2.a.t 8624.a 1.a $1$ $68.863$ \(\Q\) None \(0\) \(1\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{9}+q^{11}-5q^{13}-6q^{17}+\cdots\)
8624.2.a.u 8624.a 1.a $1$ $68.863$ \(\Q\) None \(0\) \(1\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{9}+q^{11}+q^{13}+6q^{17}+\cdots\)
8624.2.a.w 8624.a 1.a $1$ $68.863$ \(\Q\) None \(0\) \(1\) \(3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+3q^{5}-2q^{9}+q^{11}+4q^{13}+\cdots\)
8624.2.a.be 8624.a 1.a $1$ $68.863$ \(\Q\) None \(0\) \(3\) \(-2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}-2q^{5}+6q^{9}+q^{11}+7q^{13}+\cdots\)
8624.2.a.bj 8624.a 1.a $2$ $68.863$ \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(-4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-2q^{5}+3q^{9}+q^{11}+(-2+\cdots)q^{13}+\cdots\)
8624.2.a.bu 8624.a 1.a $2$ $68.863$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-q^{9}+q^{11}+\beta q^{13}+5\beta q^{17}+\cdots\)
8624.2.a.by 8624.a 1.a $2$ $68.863$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+5q^{9}+q^{11}+\beta q^{13}-\beta q^{17}+\cdots\)
8624.2.a.ce 8624.a 1.a $2$ $68.863$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}+2q^{5}+(3+2\beta )q^{9}+q^{11}+\cdots\)
8624.2.a.ck 8624.a 1.a $3$ $68.863$ 3.3.257.1 None \(0\) \(-1\) \(2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+(1-\beta _{1}+\beta _{2})q^{5}+\beta _{2}q^{9}+\cdots\)
8624.2.a.cn 8624.a 1.a $3$ $68.863$ 3.3.321.1 None \(0\) \(1\) \(2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{3}+(\beta _{1}-\beta _{2})q^{5}+(1-\beta _{1}-2\beta _{2})q^{9}+\cdots\)
8624.2.a.cu 8624.a 1.a $4$ $68.863$ 4.4.9248.1 None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{3}+(\beta _{1}-\beta _{2})q^{5}-\beta _{3}q^{9}+q^{11}+\cdots\)
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