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Results (3 matches)

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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1259.1.b.a 1259.b 1259.b $1$ $0.628$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-1259}) \) None \(0\) \(-1\) \(-1\) \(2\) \(q-q^{3}+q^{4}-q^{5}+2q^{7}-q^{12}+q^{15}+\cdots\)
1259.1.b.b 1259.b 1259.b $2$ $0.628$ \(\Q(\sqrt{5}) \) $D_{5}$ \(\Q(\sqrt{-1259}) \) None \(0\) \(-1\) \(-1\) \(-1\) \(q+(-1+\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
1259.1.b.c 1259.b 1259.b $4$ $0.628$ \(\Q(\zeta_{15})^+\) $D_{15}$ \(\Q(\sqrt{-1259}) \) None \(0\) \(1\) \(1\) \(-2\) \(q+\beta _{1}q^{3}+q^{4}+(1-\beta _{1}+\beta _{3})q^{5}+(-1+\cdots)q^{7}+\cdots\)
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