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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.b 528.a 1.a $1$ $31.153$ \(\Q\) None \(0\) \(-3\) \(-6\) \(8\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-6q^{5}+8q^{7}+9q^{9}+11q^{11}+\cdots\)
528.4.a.m 528.a 1.a $2$ $31.153$ \(\Q(\sqrt{185}) \) None \(0\) \(-6\) \(-6\) \(-22\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}+(-3-\beta )q^{5}+(-11+\beta )q^{7}+\cdots\)
  displayed columns for results