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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.c 528.a 1.a $1$ $31.153$ \(\Q\) None \(0\) \(-3\) \(-6\) \(14\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}-6q^{5}+14q^{7}+9q^{9}-11q^{11}+\cdots\)
528.4.a.s 528.a 1.a $3$ $31.153$ 3.3.123209.1 None \(0\) \(-9\) \(4\) \(-28\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}+(1-\beta _{1})q^{5}+(-10-\beta _{1}-\beta _{2})q^{7}+\cdots\)
  displayed columns for results