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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 11
528.4.a.i 528.a 1.a $1$ $31.153$ \(\Q\) None \(0\) \(3\) \(0\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}-2q^{7}+9q^{9}+11q^{11}-88q^{13}+\cdots\)
528.4.a.p 528.a 1.a $2$ $31.153$ \(\Q(\sqrt{97}) \) None \(0\) \(6\) \(-14\) \(-24\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+(-7-\beta )q^{5}+(-12+2\beta )q^{7}+\cdots\)
  displayed columns for results