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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1731.1.c.a 1731.c 1731.c $1$ $0.864$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1731}) \) \(\Q(\sqrt{577}) \) \(0\) \(1\) \(0\) \(0\) \(q+q^{3}+q^{4}+q^{9}+q^{12}+q^{16}-2q^{19}+\cdots\)
1731.1.c.b 1731.c 1731.c $2$ $0.864$ \(\Q(\sqrt{2}) \) $D_{4}$ \(\Q(\sqrt{-1731}) \) None \(0\) \(-2\) \(0\) \(0\) \(q-q^{3}+q^{4}-\beta q^{5}+q^{9}-q^{12}+\beta q^{15}+\cdots\)
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