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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 5 13 31
6045.2.a.n 6045.a 1.a $2$ $48.270$ \(\Q(\sqrt{17}) \) None \(0\) \(-2\) \(-2\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{4}-q^{5}+(-1+2\beta )q^{7}+\cdots\)
6045.2.a.w 6045.a 1.a $11$ $48.270$ \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(2\) \(-11\) \(-11\) \(4\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
  displayed columns for results