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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 7 11
462.4.a.a 462.a 1.a $1$ $27.259$ \(\Q\) None \(-2\) \(-3\) \(-21\) \(7\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}-3q^{3}+4q^{4}-21q^{5}+6q^{6}+\cdots\)
462.4.a.l 462.a 1.a $2$ $27.259$ \(\Q(\sqrt{113}) \) None \(-4\) \(-6\) \(14\) \(14\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}-3q^{3}+4q^{4}+(7-\beta )q^{5}+6q^{6}+\cdots\)
  displayed columns for results