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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1351.1.c.a 1351.c 1351.c $1$ $0.674$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-1351}) \) \(\Q(\sqrt{193}) \) \(-2\) \(0\) \(0\) \(1\) \(q-2q^{2}+3q^{4}+q^{7}-4q^{8}+q^{9}-2q^{14}+\cdots\)
1351.1.c.b 1351.c 1351.c $1$ $0.674$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-1351}) \) None \(-1\) \(0\) \(-1\) \(1\) \(q-q^{2}-q^{5}+q^{7}+q^{8}+q^{9}+q^{10}+\cdots\)
1351.1.c.c 1351.c 1351.c $1$ $0.674$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-1351}) \) None \(-1\) \(0\) \(1\) \(1\) \(q-q^{2}+q^{5}+q^{7}+q^{8}+q^{9}-q^{10}+\cdots\)
1351.1.c.d 1351.c 1351.c $2$ $0.674$ \(\Q(\sqrt{2}) \) $D_{4}$ \(\Q(\sqrt{-1351}) \) None \(0\) \(0\) \(0\) \(-2\) \(q-q^{4}-\beta q^{5}-q^{7}+q^{9}-\beta q^{13}+q^{16}+\cdots\)
1351.1.c.e 1351.c 1351.c $2$ $0.674$ \(\Q(\sqrt{3}) \) $D_{6}$ \(\Q(\sqrt{-1351}) \) None \(2\) \(0\) \(0\) \(2\) \(q+q^{2}-\beta q^{5}+q^{7}-q^{8}+q^{9}-\beta q^{10}+\cdots\)
1351.1.c.f 1351.c 1351.c $4$ $0.674$ \(\Q(\zeta_{24})^+\) $D_{12}$ \(\Q(\sqrt{-1351}) \) None \(0\) \(0\) \(0\) \(-4\) \(q-\beta _{2}q^{2}+2q^{4}-\beta _{1}q^{5}-q^{7}-\beta _{2}q^{8}+\cdots\)
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