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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2479.1.d.a 2479.d 2479.d $1$ $1.237$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-2479}) \) None \(-1\) \(0\) \(-1\) \(0\) \(q-q^{2}-q^{5}+q^{8}+q^{9}+q^{10}-q^{13}+\cdots\)
2479.1.d.b 2479.d 2479.d $1$ $1.237$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-67}) \), \(\Q(\sqrt{-2479}) \) \(\Q(\sqrt{37}) \) \(0\) \(0\) \(0\) \(0\) \(q-q^{4}+q^{9}+q^{16}-q^{25}-q^{36}+q^{37}+\cdots\)
2479.1.d.c 2479.d 2479.d $1$ $1.237$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-2479}) \) None \(1\) \(0\) \(1\) \(0\) \(q+q^{2}+q^{5}-q^{8}+q^{9}+q^{10}+q^{13}+\cdots\)
2479.1.d.d 2479.d 2479.d $2$ $1.237$ \(\Q(\sqrt{2}) \) $D_{4}$ \(\Q(\sqrt{-2479}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta q^{2}+q^{4}-\beta q^{5}+q^{9}+2q^{10}+\cdots\)
2479.1.d.e 2479.d 2479.d $2$ $1.237$ \(\Q(\sqrt{3}) \) $D_{6}$ \(\Q(\sqrt{-2479}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta q^{2}+2q^{4}+\beta q^{5}-\beta q^{8}+q^{9}+\cdots\)
2479.1.d.f 2479.d 2479.d $4$ $1.237$ \(\Q(\zeta_{24})^+\) $D_{12}$ \(\Q(\sqrt{-2479}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{3}q^{5}+(-2\beta _{1}+\cdots)q^{8}+\cdots\)
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