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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2696.1.h.a 2696.h 2696.h $1$ $1.345$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-674}) \) \(\Q(\sqrt{337}) \) \(1\) \(-2\) \(0\) \(0\) \(q+q^{2}-2q^{3}+q^{4}-2q^{6}+q^{8}+3q^{9}+\cdots\)
2696.1.h.b 2696.h 2696.h $1$ $1.345$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-674}) \) None \(1\) \(-1\) \(-2\) \(0\) \(q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}+q^{8}+\cdots\)
2696.1.h.c 2696.h 2696.h $1$ $1.345$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-674}) \) None \(1\) \(-1\) \(2\) \(0\) \(q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+q^{8}+\cdots\)
2696.1.h.d 2696.h 2696.h $2$ $1.345$ \(\Q(\sqrt{2}) \) $D_{4}$ \(\Q(\sqrt{-674}) \) None \(-2\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-\beta q^{5}-q^{8}-q^{9}+\beta q^{10}+\cdots\)
2696.1.h.e 2696.h 2696.h $2$ $1.345$ \(\Q(\sqrt{3}) \) $D_{6}$ \(\Q(\sqrt{-674}) \) None \(2\) \(2\) \(0\) \(0\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{12}+\cdots\)
2696.1.h.f 2696.h 2696.h $4$ $1.345$ \(\Q(\zeta_{24})^+\) $D_{12}$ \(\Q(\sqrt{-674}) \) None \(-4\) \(0\) \(0\) \(0\) \(q-q^{2}+\beta _{2}q^{3}+q^{4}+(-\beta _{1}-\beta _{3})q^{5}+\cdots\)
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