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

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Results (5 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 7
147.6.a.b 147.a 1.a $1$ $23.576$ \(\Q\) None \(-6\) \(9\) \(-78\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q-6q^{2}+9q^{3}+4q^{4}-78q^{5}-54q^{6}+\cdots\)
147.6.a.d 147.a 1.a $1$ $23.576$ \(\Q\) None \(-2\) \(9\) \(-11\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}+9q^{3}-28q^{4}-11q^{5}-18q^{6}+\cdots\)
147.6.a.e 147.a 1.a $1$ $23.576$ \(\Q\) None \(1\) \(9\) \(34\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+9q^{3}-31q^{4}+34q^{5}+9q^{6}+\cdots\)
147.6.a.j 147.a 1.a $2$ $23.576$ \(\Q(\sqrt{193}) \) None \(-3\) \(18\) \(-72\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{2}+9q^{3}+(17+3\beta )q^{4}+\cdots\)
147.6.a.k 147.a 1.a $2$ $23.576$ \(\Q(\sqrt{249}) \) None \(-3\) \(18\) \(33\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{2}+9q^{3}+(31+3\beta )q^{4}+\cdots\)
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