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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2951.1.d.a 2951.d 2951.d $1$ $1.473$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-2951}) \) None \(-1\) \(-1\) \(2\) \(0\) \(q-q^{2}-q^{3}+2q^{5}+q^{6}+q^{8}-2q^{10}+\cdots\)
2951.1.d.b 2951.d 2951.d $1$ $1.473$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-2951}) \) None \(1\) \(-1\) \(-2\) \(0\) \(q+q^{2}-q^{3}-2q^{5}-q^{6}-q^{8}-2q^{10}+\cdots\)
2951.1.d.c 2951.d 2951.d $3$ $1.473$ \(\Q(\zeta_{18})^+\) $D_{9}$ \(\Q(\sqrt{-2951}) \) None \(0\) \(0\) \(-3\) \(0\) \(q-\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
2951.1.d.d 2951.d 2951.d $3$ $1.473$ \(\Q(\zeta_{18})^+\) $D_{9}$ \(\Q(\sqrt{-2951}) \) None \(0\) \(0\) \(3\) \(0\) \(q+\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
2951.1.d.e 2951.d 2951.d $9$ $1.473$ \(\Q(\zeta_{54})^+\) $D_{27}$ \(\Q(\sqrt{-2951}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{2}+\beta _{8}q^{3}+(1+\beta _{2})q^{4}+\beta _{6}q^{5}+\cdots\)
2951.1.d.f 2951.d 2951.d $9$ $1.473$ \(\Q(\zeta_{54})^+\) $D_{27}$ \(\Q(\sqrt{-2951}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}+\beta _{8}q^{3}+(1+\beta _{2})q^{4}-\beta _{6}q^{5}+\cdots\)
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