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Results (6 matches)

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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3064.1.e.a 3064.e 3064.e $1$ $1.529$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-766}) \) None \(1\) \(0\) \(-2\) \(-1\) \(q+q^{2}+q^{4}-2q^{5}-q^{7}+q^{8}+q^{9}+\cdots\)
3064.1.e.b 3064.e 3064.e $1$ $1.529$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-383}) \), \(\Q(\sqrt{-766}) \) \(\Q(\sqrt{2}) \) \(1\) \(0\) \(0\) \(-2\) \(q+q^{2}+q^{4}-2q^{7}+q^{8}+q^{9}-2q^{14}+\cdots\)
3064.1.e.c 3064.e 3064.e $1$ $1.529$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-766}) \) None \(1\) \(0\) \(2\) \(-1\) \(q+q^{2}+q^{4}+2q^{5}-q^{7}+q^{8}+q^{9}+\cdots\)
3064.1.e.d 3064.e 3064.e $2$ $1.529$ \(\Q(\sqrt{2}) \) $D_{4}$ \(\Q(\sqrt{-766}) \) None \(-2\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-\beta q^{5}-q^{8}+q^{9}+\beta q^{10}+\cdots\)
3064.1.e.e 3064.e 3064.e $2$ $1.529$ \(\Q(\sqrt{3}) \) $D_{6}$ \(\Q(\sqrt{-766}) \) None \(2\) \(0\) \(0\) \(2\) \(q+q^{2}+q^{4}+q^{7}+q^{8}+q^{9}-\beta q^{11}+\cdots\)
3064.1.e.f 3064.e 3064.e $4$ $1.529$ \(\Q(\zeta_{24})^+\) $D_{12}$ \(\Q(\sqrt{-766}) \) None \(-4\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}+(-\beta _{1}-\beta _{3})q^{5}+\beta _{2}q^{7}+\cdots\)
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