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

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Results (displaying both 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
912.2.a.a 912.a 1.a $1$ $7.282$ \(\Q\) None \(0\) \(-1\) \(-3\) \(3\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-3q^{5}+3q^{7}+q^{9}+q^{11}-2q^{13}+\cdots\)
912.2.a.m 912.a 1.a $2$ $7.282$ \(\Q(\sqrt{17}) \) None \(0\) \(-2\) \(1\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+\beta q^{5}-\beta q^{7}+q^{9}+(-4+\beta )q^{11}+\cdots\)
  displayed columns for results