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

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Results (3 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.c 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.i 147.a 1.a $2$ $23.576$ \(\Q(\sqrt{249}) \) None \(-3\) \(-18\) \(-33\) \(0\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{2}-9q^{3}+(31+3\beta )q^{4}+\cdots\)
147.6.a.n 147.a 1.a $6$ $23.576$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(2\) \(-54\) \(-100\) \(0\) $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{2}-9q^{3}+(5^{2}-\beta _{1}+\beta _{4})q^{4}+\cdots\)
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