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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.d 528.a 1.a $1$ $31.153$ \(\Q\) None \(0\) \(-3\) \(0\) \(-14\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}-14q^{7}+9q^{9}-11q^{11}+80q^{13}+\cdots\)
528.4.a.o 528.a 1.a $2$ $31.153$ \(\Q(\sqrt{33}) \) None \(0\) \(-6\) \(16\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}+(8+2\beta )q^{5}+(-1-\beta )q^{7}+\cdots\)
  displayed columns for results