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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1023.1.g.c 1023.g 1023.g $2$ $0.511$ \(\Q(\sqrt{2}) \) $D_{4}$ \(\Q(\sqrt{-1023}) \) None \(0\) \(-2\) \(0\) \(0\) \(q-\beta q^{2}-q^{3}+q^{4}+\beta q^{6}+q^{9}+q^{11}+\cdots\)
1023.1.g.d 1023.g 1023.g $2$ $0.511$ \(\Q(\sqrt{2}) \) $D_{4}$ \(\Q(\sqrt{-1023}) \) None \(0\) \(2\) \(0\) \(0\) \(q-\beta q^{2}+q^{3}+q^{4}-\beta q^{6}+q^{9}-q^{11}+\cdots\)
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