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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1263.1.d.a 1263.d 1263.d $1$ $0.630$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1263}) \) \(\Q(\sqrt{421}) \) \(0\) \(-1\) \(0\) \(-2\) \(q-q^{3}-q^{4}-2q^{7}+q^{9}+q^{12}+q^{16}+\cdots\)
1263.1.d.b 1263.d 1263.d $2$ $0.630$ \(\Q(\sqrt{5}) \) $D_{5}$ \(\Q(\sqrt{-1263}) \) None \(-1\) \(2\) \(0\) \(-1\) \(q+(-1+\beta )q^{2}+q^{3}+(1-\beta )q^{4}+(-1+\cdots)q^{6}+\cdots\)
1263.1.d.c 1263.d 1263.d $2$ $0.630$ \(\Q(\sqrt{5}) \) $D_{5}$ \(\Q(\sqrt{-1263}) \) None \(1\) \(2\) \(0\) \(-1\) \(q+(1-\beta )q^{2}+q^{3}+(1-\beta )q^{4}+(1-\beta )q^{6}+\cdots\)
1263.1.d.d 1263.d 1263.d $4$ $0.630$ \(\Q(\zeta_{20})^+\) $D_{10}$ \(\Q(\sqrt{-1263}) \) None \(0\) \(-4\) \(0\) \(2\) \(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
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