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Level	Weight	Analytic conductor	\(Nk^2\)	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Results (8 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
387.1.b.a	$387$	$1$	387.b	43.b	$2$	$1$	$1$	$0.193$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-43}) \)	\(\Q(\sqrt{129}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}-2q^{13}+q^{16}+q^{25}-2q^{31}+\cdots\)
1032.1.f.a	$1032$	$1$	1032.f	1032.f	$2$	$1$	$1$	$0.515$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-258}) \)	\(\Q(\sqrt{129}) \)	✓	$4$	$0$	\(-1\)	\(1\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
1032.1.f.b	$1032$	$1$	1032.f	1032.f	$2$	$1$	$1$	$0.515$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-258}) \)	\(\Q(\sqrt{129}) \)	✓	$4$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
2580.1.g.a	$2580$	$1$	2580.g	2580.g	$2$	$1$	$1$	$1.288$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-645}) \)	\(\Q(\sqrt{129}) \)	✓	$4$	$0$	\(-1\)	\(1\)	\(-1\)	\(0\)	$1$		\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots\)
2580.1.g.b	$2580$	$1$	2580.g	2580.g	$2$	$1$	$1$	$1.288$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-645}) \)	\(\Q(\sqrt{129}) \)	✓	$4$	$0$	\(-1\)	\(1\)	\(1\)	\(0\)	$1$		\(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots\)
2580.1.g.c	$2580$	$1$	2580.g	2580.g	$2$	$1$	$1$	$1.288$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-645}) \)	\(\Q(\sqrt{129}) \)	✓	$4$	$0$	\(1\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
2580.1.g.d	$2580$	$1$	2580.g	2580.g	$2$	$1$	$1$	$1.288$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-645}) \)	\(\Q(\sqrt{129}) \)	✓	$4$	$0$	\(1\)	\(-1\)	\(1\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\)
3483.1.s.b	$3483$	$1$	3483.s	387.s	$6$	$2$	$1$	$1.738$	\(\Q(\sqrt{-3}) \)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-43}) \)	\(\Q(\sqrt{129}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{6}q^{4}+\zeta_{6}q^{13}+\zeta_{6}^{2}q^{16}+\zeta_{6}^{2}q^{25}+\cdots\)

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