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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2191.1.c.a 2191.c 2191.c $1$ $1.093$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-2191}) \) None \(-1\) \(0\) \(-1\) \(1\) \(q-q^{2}-q^{5}+q^{7}+q^{8}+q^{9}+q^{10}+\cdots\)
2191.1.c.b 2191.c 2191.c $1$ $1.093$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-2191}) \) None \(-1\) \(0\) \(1\) \(-1\) \(q-q^{2}+q^{5}-q^{7}+q^{8}+q^{9}-q^{10}+\cdots\)
2191.1.c.c 2191.c 2191.c $2$ $1.093$ \(\Q(\sqrt{5}) \) $D_{5}$ \(\Q(\sqrt{-2191}) \) None \(-1\) \(0\) \(-1\) \(2\) \(q+(-1+\beta )q^{2}+(1-\beta )q^{4}+(-1+\beta )q^{5}+\cdots\)
2191.1.c.d 2191.c 2191.c $2$ $1.093$ \(\Q(\sqrt{5}) \) $D_{5}$ \(\Q(\sqrt{-2191}) \) None \(-1\) \(0\) \(1\) \(-2\) \(q+(-1+\beta )q^{2}+(1-\beta )q^{4}+(1-\beta )q^{5}+\cdots\)
2191.1.c.e 2191.c 2191.c $4$ $1.093$ \(\Q(\zeta_{15})^+\) $D_{15}$ \(\Q(\sqrt{-2191}) \) None \(1\) \(0\) \(-1\) \(-4\) \(q+(1-\beta _{1}+\beta _{3})q^{2}+(1-\beta _{2}-\beta _{3})q^{4}+\cdots\)
2191.1.c.f 2191.c 2191.c $4$ $1.093$ \(\Q(\zeta_{15})^+\) $D_{15}$ \(\Q(\sqrt{-2191}) \) None \(1\) \(0\) \(1\) \(4\) \(q+(1-\beta _{1}+\beta _{3})q^{2}+(1-\beta _{2}-\beta _{3})q^{4}+\cdots\)
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