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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 7 23
4830.2.a.e 4830.a 1.a $1$ $38.568$ \(\Q\) None \(-1\) \(-1\) \(1\) \(-1\) $+$ $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots\)
4830.2.a.bm 4830.a 1.a $2$ $38.568$ \(\Q(\sqrt{33}) \) None \(-2\) \(-2\) \(2\) \(-2\) $+$ $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots\)
  displayed columns for results