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Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)

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Results (13 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
5184.2.a.i 5184.a 1.a $1$ $41.394$ \(\Q\) None \(0\) \(0\) \(-1\) \(-3\) $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-3q^{7}+5q^{11}+5q^{13}+2q^{17}+\cdots\)
5184.2.a.q 5184.a 1.a $1$ $41.394$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{7}-3q^{11}-2q^{13}+3q^{17}+q^{19}+\cdots\)
5184.2.a.ba 5184.a 1.a $1$ $41.394$ \(\Q\) None \(0\) \(0\) \(3\) \(-1\) $+$ $-$ $\mathrm{SU}(2)$ \(q+3q^{5}-q^{7}+3q^{11}+q^{13}-6q^{17}+\cdots\)
5184.2.a.be 5184.a 1.a $1$ $41.394$ \(\Q\) None \(0\) \(0\) \(4\) \(-2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+4q^{5}-2q^{7}-5q^{11}+2q^{13}+3q^{17}+\cdots\)
5184.2.a.bf 5184.a 1.a $1$ $41.394$ \(\Q\) None \(0\) \(0\) \(4\) \(2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+4q^{5}+2q^{7}+5q^{11}+2q^{13}+3q^{17}+\cdots\)
5184.2.a.bg 5184.a 1.a $2$ $41.394$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(-4\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-2+\beta )q^{5}-2\beta q^{7}-2q^{11}+(-1+\cdots)q^{13}+\cdots\)
5184.2.a.bj 5184.a 1.a $2$ $41.394$ \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(-2\) \(-2\) $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+(-1-\beta )q^{7}+(1-\beta )q^{11}+(-1+\cdots)q^{13}+\cdots\)
5184.2.a.bn 5184.a 1.a $2$ $41.394$ \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(-2\) \(2\) $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+(1-\beta )q^{7}+(-1-\beta )q^{11}+(-1+\cdots)q^{13}+\cdots\)
5184.2.a.bp 5184.a 1.a $2$ $41.394$ \(\Q(\sqrt{33}) \) None \(0\) \(0\) \(-1\) \(3\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{5}+(2-\beta )q^{7}+q^{11}+(-2-\beta )q^{13}+\cdots\)
5184.2.a.br 5184.a 1.a $2$ $41.394$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(4\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{5}+2q^{7}+2\beta q^{11}+q^{13}+3\beta q^{17}+\cdots\)
5184.2.a.cb 5184.a 1.a $2$ $41.394$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(4\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(2+\beta )q^{5}+2\beta q^{7}+2q^{11}+(-1+\cdots)q^{13}+\cdots\)
5184.2.a.cd 5184.a 1.a $4$ $41.394$ \(\Q(\sqrt{3}, \sqrt{7})\) None \(0\) \(0\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{5}+(-\beta _{1}+\beta _{2})q^{7}+(-1-\beta _{3})q^{11}+\cdots\)
5184.2.a.ce 5184.a 1.a $4$ $41.394$ \(\Q(\sqrt{3}, \sqrt{7})\) None \(0\) \(0\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{5}+(\beta _{1}-\beta _{2})q^{7}+(1+\beta _{3})q^{11}+\cdots\)
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