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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 5 67
8040.2.a.d 8040.a 1.a $1$ $64.200$ \(\Q\) None \(0\) \(-1\) \(1\) \(-2\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-2q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots\)
8040.2.a.bc 8040.a 1.a $10$ $64.200$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(-10\) \(10\) \(1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-\beta _{9}q^{7}+q^{9}+(1-\beta _{7}+\cdots)q^{11}+\cdots\)
  displayed columns for results