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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2936.1.h.a 2936.h 2936.h $1$ $1.465$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-367}) \), \(\Q(\sqrt{-734}) \) \(\Q(\sqrt{2}) \) \(1\) \(0\) \(0\) \(2\) \(q+q^{2}+q^{4}+2q^{7}+q^{8}-q^{9}+2q^{14}+\cdots\)
2936.1.h.b 2936.h 2936.h $2$ $1.465$ \(\Q(\sqrt{2}) \) $D_{4}$ \(\Q(\sqrt{-734}) \) None \(-2\) \(0\) \(0\) \(4\) \(q-q^{2}-\beta q^{3}+q^{4}-\beta q^{5}+\beta q^{6}+2q^{7}+\cdots\)
2936.1.h.d 2936.h 2936.h $2$ $1.465$ \(\Q(\sqrt{5}) \) $D_{5}$ \(\Q(\sqrt{-734}) \) None \(2\) \(-1\) \(-1\) \(-1\) \(q+q^{2}+(-1+\beta )q^{3}+q^{4}-\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
2936.1.h.e 2936.h 2936.h $2$ $1.465$ \(\Q(\sqrt{5}) \) $D_{5}$ \(\Q(\sqrt{-734}) \) None \(2\) \(1\) \(1\) \(-1\) \(q+q^{2}+(1-\beta )q^{3}+q^{4}+\beta q^{5}+(1-\beta )q^{6}+\cdots\)
2936.1.h.f 2936.h 2936.h $4$ $1.465$ \(\Q(\zeta_{20})^+\) $D_{10}$ \(\Q(\sqrt{-734}) \) None \(4\) \(0\) \(0\) \(-2\) \(q+q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{3}q^{5}-\beta _{1}q^{6}+\cdots\)
2936.1.h.h 2936.h 2936.h $8$ $1.465$ \(\Q(\zeta_{40})^+\) $D_{20}$ \(\Q(\sqrt{-734}) \) None \(-8\) \(0\) \(0\) \(-4\) \(q-q^{2}+\beta _{7}q^{3}+q^{4}+\beta _{3}q^{5}-\beta _{7}q^{6}+\cdots\)
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