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Results (7 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 19
5472.2.a.o 5472.a 1.a $1$ $43.694$ \(\Q\) None \(0\) \(0\) \(1\) \(-1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{7}+5q^{11}+4q^{13}+3q^{17}+\cdots\)
5472.2.a.v 5472.a 1.a $1$ $43.694$ \(\Q\) None \(0\) \(0\) \(2\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+4q^{7}+4q^{11}+2q^{13}-2q^{17}+\cdots\)
5472.2.a.bd 5472.a 1.a $2$ $43.694$ \(\Q(\sqrt{33}) \) None \(0\) \(0\) \(1\) \(-1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{5}-\beta q^{7}+(-4+\beta )q^{11}-4q^{13}+\cdots\)
5472.2.a.bf 5472.a 1.a $2$ $43.694$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(1\) \(6\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{5}+3q^{7}+(2-\beta )q^{11}+(1-\beta )q^{13}+\cdots\)
5472.2.a.bj 5472.a 1.a $2$ $43.694$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(3\) \(-1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{5}+(-1+\beta )q^{7}+(1+\beta )q^{11}+\cdots\)
5472.2.a.bm 5472.a 1.a $3$ $43.694$ 3.3.229.1 None \(0\) \(0\) \(-5\) \(-1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-2-\beta _{2})q^{5}+\beta _{1}q^{7}-\beta _{1}q^{11}+\cdots\)
5472.2.a.bs 5472.a 1.a $4$ $43.694$ 4.4.15317.1 None \(0\) \(0\) \(-1\) \(-1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-\beta _{1}+\beta _{2})q^{5}+\beta _{3}q^{7}+(-2+\beta _{1}+\cdots)q^{11}+\cdots\)
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