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Results (8 matches)

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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2212.1.b.a 2212.b 2212.b $1$ $1.104$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-553}) \) \(\Q(\sqrt{79}) \) \(-1\) \(0\) \(0\) \(-1\) \(q-q^{2}+q^{4}-q^{7}-q^{8}+q^{9}+q^{14}+\cdots\)
2212.1.b.b 2212.b 2212.b $1$ $1.104$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-553}) \) \(\Q(\sqrt{79}) \) \(-1\) \(0\) \(0\) \(1\) \(q-q^{2}+q^{4}+q^{7}-q^{8}+q^{9}-q^{14}+\cdots\)
2212.1.b.c 2212.b 2212.b $2$ $1.104$ \(\Q(\sqrt{-3}) \) $D_{6}$ None \(\Q(\sqrt{79}) \) \(-2\) \(0\) \(0\) \(-1\) \(q-q^{2}+(\zeta_{6}+\zeta_{6}^{2})q^{3}+q^{4}+(\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{5}+\cdots\)
2212.1.b.d 2212.b 2212.b $2$ $1.104$ \(\Q(\sqrt{-3}) \) $D_{6}$ None \(\Q(\sqrt{79}) \) \(-2\) \(0\) \(0\) \(1\) \(q-q^{2}+(-\zeta_{6}-\zeta_{6}^{2})q^{3}+q^{4}+(\zeta_{6}+\cdots)q^{5}+\cdots\)
3792.1.i.a 3792.i 948.e $1$ $1.892$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-237}) \) \(\Q(\sqrt{79}) \) \(0\) \(-1\) \(0\) \(-2\) \(q-q^{3}-2q^{7}+q^{9}-2q^{13}+2q^{21}+\cdots\)
3792.1.i.b 3792.i 948.e $1$ $1.892$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-237}) \) \(\Q(\sqrt{79}) \) \(0\) \(1\) \(0\) \(2\) \(q+q^{3}+2q^{7}+q^{9}-2q^{13}+2q^{21}+\cdots\)
3792.1.i.d 3792.i 948.e $2$ $1.892$ \(\Q(\sqrt{-3}) \) $D_{6}$ None \(\Q(\sqrt{79}) \) \(0\) \(-1\) \(0\) \(-2\) \(q+\zeta_{6}^{2}q^{3}+(-\zeta_{6}-\zeta_{6}^{2})q^{5}-q^{7}+\cdots\)
3792.1.i.e 3792.i 948.e $2$ $1.892$ \(\Q(\sqrt{-3}) \) $D_{6}$ None \(\Q(\sqrt{79}) \) \(0\) \(1\) \(0\) \(2\) \(q-\zeta_{6}^{2}q^{3}+(-\zeta_{6}-\zeta_{6}^{2})q^{5}+q^{7}+\cdots\)
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