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Results (7 matches)

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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
399.1.h.a 399.h 399.h $1$ $0.199$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-399}) \) \(\Q(\sqrt{133}) \) \(0\) \(-1\) \(0\) \(1\) \(q-q^{3}-q^{4}+q^{7}+q^{9}+q^{12}+2q^{13}+\cdots\)
399.1.h.b 399.h 399.h $1$ $0.199$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-399}) \) \(\Q(\sqrt{133}) \) \(0\) \(1\) \(0\) \(1\) \(q+q^{3}-q^{4}+q^{7}+q^{9}-q^{12}-2q^{13}+\cdots\)
2527.1.d.a 2527.d 7.b $1$ $1.261$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-19}) \) \(\Q(\sqrt{133}) \) \(0\) \(0\) \(0\) \(-1\) \(q-q^{4}-q^{7}+q^{9}-2q^{11}+q^{16}+2q^{23}+\cdots\)
2527.1.m.a 2527.m 133.m $2$ $1.261$ \(\Q(\sqrt{-3}) \) $D_{2}$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-19}) \) \(\Q(\sqrt{133}) \) \(0\) \(0\) \(0\) \(-2\) \(q+\zeta_{6}q^{4}-q^{7}-\zeta_{6}q^{9}-q^{11}+\zeta_{6}^{2}q^{16}+\cdots\)
2527.1.y.a 2527.y 133.y $6$ $1.261$ \(\Q(\zeta_{18})\) $D_{2}$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-19}) \) \(\Q(\sqrt{133}) \) \(0\) \(0\) \(0\) \(3\) \(q+\zeta_{18}^{7}q^{4}+\zeta_{18}^{3}q^{7}-\zeta_{18}q^{9}-\zeta_{18}^{6}q^{11}+\cdots\)
2793.1.s.a 2793.s 399.s $2$ $1.394$ \(\Q(\sqrt{-3}) \) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-399}) \) \(\Q(\sqrt{133}) \) \(0\) \(-1\) \(0\) \(0\) \(q+\zeta_{6}^{2}q^{3}-\zeta_{6}^{2}q^{4}-\zeta_{6}q^{9}+\zeta_{6}q^{12}+\cdots\)
2793.1.s.b 2793.s 399.s $2$ $1.394$ \(\Q(\sqrt{-3}) \) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-399}) \) \(\Q(\sqrt{133}) \) \(0\) \(1\) \(0\) \(0\) \(q-\zeta_{6}^{2}q^{3}-\zeta_{6}^{2}q^{4}-\zeta_{6}q^{9}-\zeta_{6}q^{12}+\cdots\)
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