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Results (26 matches)

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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
260.1.g.a 260.g 260.g $1$ $0.130$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-65}) \) \(\Q(\sqrt{65}) \) \(-1\) \(0\) \(1\) \(0\) \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{9}-q^{10}+\cdots\)
260.1.g.b 260.g 260.g $1$ $0.130$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-65}) \) \(\Q(\sqrt{65}) \) \(1\) \(0\) \(-1\) \(0\) \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{9}-q^{10}+\cdots\)
455.1.h.c 455.h 455.h $2$ $0.227$ \(\Q(\sqrt{-1}) \) $D_{2}$ \(\Q(\sqrt{-35}) \), \(\Q(\sqrt{-91}) \) \(\Q(\sqrt{65}) \) \(0\) \(0\) \(0\) \(0\) \(q-q^{4}-iq^{5}-iq^{7}-q^{9}-iq^{13}+\cdots\)
520.1.b.a 520.b 520.b $2$ $0.260$ \(\Q(\sqrt{-1}) \) $D_{2}$ \(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-26}) \) \(\Q(\sqrt{65}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-q^{4}+iq^{5}-iq^{7}+iq^{8}+\cdots\)
1040.1.cb.a 1040.cb 1040.bb $4$ $0.519$ \(\Q(\zeta_{8})\) $D_{4}$ None \(\Q(\sqrt{65}) \) \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+\zeta_{8}q^{5}+(-\zeta_{8}+\cdots)q^{7}+\cdots\)
1300.1.e.e 1300.e 52.b $2$ $0.649$ \(\Q(\sqrt{-1}) \) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-65}) \) \(\Q(\sqrt{65}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-q^{4}+iq^{8}+q^{9}-iq^{13}+\cdots\)
2080.1.b.a 2080.b 520.b $2$ $1.038$ \(\Q(\sqrt{-1}) \) $D_{2}$ \(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-26}) \) \(\Q(\sqrt{65}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{5}-iq^{7}+q^{9}+iq^{13}-q^{25}+\cdots\)
2275.1.b.a 2275.b 91.b $1$ $1.135$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-35}) \), \(\Q(\sqrt{-91}) \) \(\Q(\sqrt{65}) \) \(0\) \(0\) \(0\) \(-1\) \(q+q^{4}-q^{7}+q^{9}+q^{13}+q^{16}-q^{28}+\cdots\)
2275.1.b.b 2275.b 91.b $1$ $1.135$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-35}) \), \(\Q(\sqrt{-91}) \) \(\Q(\sqrt{65}) \) \(0\) \(0\) \(0\) \(1\) \(q+q^{4}+q^{7}+q^{9}-q^{13}+q^{16}+q^{28}+\cdots\)
2340.1.i.a 2340.i 260.g $1$ $1.168$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-65}) \) \(\Q(\sqrt{65}) \) \(-1\) \(0\) \(1\) \(0\) \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-q^{13}+\cdots\)
2340.1.i.b 2340.i 260.g $1$ $1.168$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-65}) \) \(\Q(\sqrt{65}) \) \(1\) \(0\) \(-1\) \(0\) \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+q^{13}+\cdots\)
2405.1.bh.a 2405.bh 2405.ah $4$ $1.200$ \(\Q(\zeta_{8})\) $D_{4}$ None \(\Q(\sqrt{65}) \) \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{2}+3\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{5}+(-\zeta_{8}+\cdots)q^{7}+\cdots\)
2405.1.ea.a 2405.ea 2405.da $8$ $1.200$ \(\Q(\zeta_{24})\) $D_{12}$ None \(\Q(\sqrt{65}) \) \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}q^{2}+\zeta_{24}^{11}q^{5}+(\zeta_{24}^{7}+\zeta_{24}^{9}+\cdots)q^{7}+\cdots\)
2600.1.o.a 2600.o 104.h $1$ $1.298$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-26}) \) \(\Q(\sqrt{65}) \) \(-1\) \(0\) \(0\) \(-2\) \(q-q^{2}+q^{4}-2q^{7}-q^{8}-q^{9}+q^{13}+\cdots\)
2600.1.o.c 2600.o 104.h $1$ $1.298$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-26}) \) \(\Q(\sqrt{65}) \) \(1\) \(0\) \(0\) \(2\) \(q+q^{2}+q^{4}+2q^{7}+q^{8}-q^{9}-q^{13}+\cdots\)
2925.1.o.a 2925.o 65.h $4$ $1.460$ \(\Q(\zeta_{8})\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-195}) \) \(\Q(\sqrt{65}) \) \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{4}-\zeta_{8}q^{7}+\zeta_{8}^{3}q^{13}-q^{16}+\cdots\)
3055.1.g.e 3055.g 3055.g $2$ $1.525$ \(\Q(\sqrt{-1}) \) $D_{2}$ \(\Q(\sqrt{-235}) \), \(\Q(\sqrt{-611}) \) \(\Q(\sqrt{65}) \) \(0\) \(0\) \(0\) \(0\) \(q-q^{4}-iq^{5}+q^{9}-iq^{13}+q^{16}+\cdots\)
3185.1.bf.c 3185.bf 455.af $4$ $1.590$ \(\Q(\zeta_{12})\) $D_{2}$ \(\Q(\sqrt{-35}) \), \(\Q(\sqrt{-91}) \) \(\Q(\sqrt{65}) \) \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{4}q^{4}+\zeta_{12}^{5}q^{5}+\zeta_{12}^{2}q^{9}+\cdots\)
3380.1.h.a 3380.h 20.d $2$ $1.687$ \(\Q(\sqrt{-1}) \) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-65}) \) \(\Q(\sqrt{65}) \) \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}-q^{4}-iq^{5}-iq^{8}-q^{9}+q^{10}+\cdots\)
3380.1.v.a 3380.v 260.v $4$ $1.687$ \(\Q(\zeta_{12})\) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-65}) \) \(\Q(\sqrt{65}) \) \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{3}q^{5}-\zeta_{12}^{3}q^{8}+\cdots\)
3380.1.w.a 3380.w 260.w $2$ $1.687$ \(\Q(\sqrt{-3}) \) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-65}) \) \(\Q(\sqrt{65}) \) \(-1\) \(0\) \(-2\) \(0\) \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-q^{5}+q^{8}+\zeta_{6}q^{9}+\cdots\)
3380.1.w.d 3380.w 260.w $2$ $1.687$ \(\Q(\sqrt{-3}) \) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-65}) \) \(\Q(\sqrt{65}) \) \(1\) \(0\) \(2\) \(0\) \(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+q^{5}-q^{8}+\zeta_{6}q^{9}+\cdots\)
3640.1.n.a 3640.n 3640.n $1$ $1.817$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-14}) \), \(\Q(\sqrt{-910}) \) \(\Q(\sqrt{65}) \) \(-1\) \(0\) \(-1\) \(1\) \(q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{9}+\cdots\)
3640.1.n.b 3640.n 3640.n $1$ $1.817$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-14}) \), \(\Q(\sqrt{-910}) \) \(\Q(\sqrt{65}) \) \(-1\) \(0\) \(1\) \(1\) \(q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}+q^{9}+\cdots\)
3640.1.n.c 3640.n 3640.n $1$ $1.817$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-14}) \), \(\Q(\sqrt{-910}) \) \(\Q(\sqrt{65}) \) \(1\) \(0\) \(-1\) \(-1\) \(q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}+q^{9}+\cdots\)
3640.1.n.d 3640.n 3640.n $1$ $1.817$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-14}) \), \(\Q(\sqrt{-910}) \) \(\Q(\sqrt{65}) \) \(1\) \(0\) \(1\) \(-1\) \(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{9}+\cdots\)
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