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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2071.1.d.a 2071.d 2071.d $1$ $1.034$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-2071}) \) None \(-2\) \(0\) \(-1\) \(-1\) \(q-2q^{2}+3q^{4}-q^{5}-q^{7}-4q^{8}+q^{9}+\cdots\)
2071.1.d.b 2071.d 2071.d $1$ $1.034$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-2071}) \) None \(2\) \(0\) \(-1\) \(-1\) \(q+2q^{2}+3q^{4}-q^{5}-q^{7}+4q^{8}+q^{9}+\cdots\)
2071.1.d.c 2071.d 2071.d $2$ $1.034$ \(\Q(\sqrt{5}) \) $D_{5}$ \(\Q(\sqrt{-2071}) \) None \(-1\) \(0\) \(-1\) \(-1\) \(q-\beta q^{2}+\beta q^{4}+(-1+\beta )q^{5}+(-1+\cdots)q^{7}+\cdots\)
2071.1.d.d 2071.d 2071.d $2$ $1.034$ \(\Q(\sqrt{5}) \) $D_{5}$ \(\Q(\sqrt{-2071}) \) None \(1\) \(0\) \(-1\) \(-1\) \(q+\beta q^{2}+\beta q^{4}+(-1+\beta )q^{5}+(-1+\cdots)q^{7}+\cdots\)
2071.1.d.e 2071.d 2071.d $4$ $1.034$ \(\Q(\zeta_{15})^+\) $D_{15}$ \(\Q(\sqrt{-2071}) \) None \(-2\) \(0\) \(1\) \(1\) \(q+\beta _{3}q^{2}-\beta _{3}q^{4}+\beta _{1}q^{5}+(1-\beta _{1}+\cdots)q^{7}+\cdots\)
2071.1.d.f 2071.d 2071.d $4$ $1.034$ \(\Q(\zeta_{15})^+\) $D_{15}$ \(\Q(\sqrt{-2071}) \) None \(2\) \(0\) \(1\) \(1\) \(q-\beta _{3}q^{2}-\beta _{3}q^{4}+\beta _{1}q^{5}+(1-\beta _{1}+\cdots)q^{7}+\cdots\)
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