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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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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
3960.1.x.f	$3960$	$1$	3960.x	440.o	$2$	$2$	$2$	$1.976$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-55}) \)	\(\Q(\sqrt{330}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)	$1$		\(q+iq^{2}-q^{4}-iq^{5}-q^{7}-iq^{8}+q^{10}+\cdots\)
3960.1.x.g	$3960$	$1$	3960.x	440.o	$2$	$2$	$2$	$1.976$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-55}) \)	\(\Q(\sqrt{330}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(4\)	$1$		\(q-iq^{2}-q^{4}-iq^{5}+q^{7}+iq^{8}-q^{10}+\cdots\)

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