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Results (4 matches)

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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3155.1.c.a 3155.c 3155.c $1$ $1.575$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-631}) \), \(\Q(\sqrt{-3155}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(-1\) \(0\) \(q+q^{4}-q^{5}-q^{9}+q^{16}-q^{20}+q^{25}+\cdots\)
3155.1.c.b 3155.c 3155.c $2$ $1.575$ \(\Q(\sqrt{5}) \) $D_{5}$ \(\Q(\sqrt{-3155}) \) None \(0\) \(-1\) \(2\) \(-1\) \(q+(-1+\beta )q^{3}+q^{4}+q^{5}-\beta q^{7}+(1+\cdots)q^{9}+\cdots\)
3155.1.c.c 3155.c 3155.c $2$ $1.575$ \(\Q(\sqrt{5}) \) $D_{5}$ \(\Q(\sqrt{-3155}) \) None \(0\) \(1\) \(2\) \(1\) \(q+(1-\beta )q^{3}+q^{4}+q^{5}+\beta q^{7}+(1-\beta )q^{9}+\cdots\)
3155.1.c.d 3155.c 3155.c $4$ $1.575$ \(\Q(\zeta_{20})^+\) $D_{10}$ \(\Q(\sqrt{-3155}) \) None \(0\) \(0\) \(-4\) \(0\) \(q-\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{3}q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)
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