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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 157
471.2.a.a 471.a 1.a $1$ $3.761$ \(\Q\) None \(-1\) \(-1\) \(-2\) \(3\) $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}-q^{4}-2q^{5}+q^{6}+3q^{7}+\cdots\)
471.2.a.c 471.a 1.a $3$ $3.761$ 3.3.229.1 None \(0\) \(-3\) \(-2\) \(-3\) $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
  displayed columns for results