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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 5
400.2.a.c 400.a 1.a $1$ $3.194$ \(\Q\) None \(0\) \(-2\) \(0\) \(2\) $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}+2q^{7}+q^{9}-2q^{13}+6q^{17}+\cdots\)
400.2.a.f 400.a 1.a $1$ $3.194$ \(\Q\) None \(0\) \(1\) \(0\) \(2\) $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{7}-2q^{9}+3q^{11}+4q^{13}+\cdots\)
  displayed columns for results