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Results (10 matches)

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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
779.1.c.a 779.c 779.c $2$ $0.389$ \(\Q(\sqrt{5}) \) $D_{5}$ \(\Q(\sqrt{-779}) \) None \(0\) \(-1\) \(-1\) \(0\) \(q+(-1+\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
779.1.c.b 779.c 779.c $2$ $0.389$ \(\Q(\sqrt{5}) \) $D_{5}$ \(\Q(\sqrt{-779}) \) None \(0\) \(1\) \(-1\) \(0\) \(q+(1-\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+(1+\cdots)q^{9}+\cdots\)
3116.1.g.a 3116.g 779.c $1$ $1.555$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-779}) \) None \(0\) \(-1\) \(2\) \(0\) \(q-q^{3}+2q^{5}-q^{13}-2q^{15}+q^{19}+\cdots\)
3116.1.g.b 3116.g 779.c $1$ $1.555$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-779}) \) None \(0\) \(1\) \(2\) \(0\) \(q+q^{3}+2q^{5}+q^{13}+2q^{15}-q^{19}+\cdots\)
3116.1.g.c 3116.g 779.c $4$ $1.555$ \(\Q(\zeta_{15})^+\) $D_{15}$ \(\Q(\sqrt{-779}) \) None \(0\) \(-1\) \(-2\) \(0\) \(q-\beta _{1}q^{3}+(-1-\beta _{3})q^{5}+(1+\beta _{2})q^{9}+\cdots\)
3116.1.g.d 3116.g 779.c $4$ $1.555$ \(\Q(\zeta_{15})^+\) $D_{15}$ \(\Q(\sqrt{-779}) \) None \(0\) \(1\) \(-2\) \(0\) \(q+\beta _{1}q^{3}+(-1-\beta _{3})q^{5}+(1+\beta _{2})q^{9}+\cdots\)
3895.1.g.a 3895.g 3895.g $1$ $1.944$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-779}) \), \(\Q(\sqrt{-3895}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(1\) \(0\) \(q-q^{4}+q^{5}+q^{9}+q^{16}-q^{19}-q^{20}+\cdots\)
3895.1.g.b 3895.g 3895.g $1$ $1.944$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-779}) \), \(\Q(\sqrt{-3895}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(1\) \(0\) \(q-q^{4}+q^{5}+q^{9}+q^{16}+q^{19}-q^{20}+\cdots\)
3895.1.g.e 3895.g 3895.g $4$ $1.944$ \(\Q(\zeta_{10})\) $D_{10}$ \(\Q(\sqrt{-779}) \) None \(0\) \(0\) \(-1\) \(0\) \(q+(-\zeta_{10}^{2}-\zeta_{10}^{3})q^{3}-q^{4}-\zeta_{10}^{3}q^{5}+\cdots\)
3895.1.g.f 3895.g 3895.g $4$ $1.944$ \(\Q(\zeta_{10})\) $D_{10}$ \(\Q(\sqrt{-779}) \) None \(0\) \(0\) \(-1\) \(0\) \(q+(-\zeta_{10}^{2}-\zeta_{10}^{3})q^{3}-q^{4}+\zeta_{10}^{2}q^{5}+\cdots\)
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