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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
616.1.g.a	$616$	$1$	616.g	616.g	$2$	$1$	$1$	$0.307$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-154}) \)	\(\Q(\sqrt{22}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)	$1$		\(q-q^{2}+q^{4}+q^{7}-q^{8}+q^{9}-q^{11}+\cdots\)
616.1.g.b	$616$	$1$	616.g	616.g	$2$	$1$	$1$	$0.307$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-154}) \)	\(\Q(\sqrt{22}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+q^{2}+q^{4}-q^{7}+q^{8}+q^{9}-q^{11}+\cdots\)
2464.1.g.a	$2464$	$1$	2464.g	616.g	$2$	$1$	$1$	$1.230$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-154}) \)	\(\Q(\sqrt{22}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-q^{7}+q^{9}+q^{11}-q^{25}+2q^{29}+\cdots\)
2464.1.g.b	$2464$	$1$	2464.g	616.g	$2$	$1$	$1$	$1.230$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-154}) \)	\(\Q(\sqrt{22}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{7}+q^{9}+q^{11}-q^{25}-2q^{29}+\cdots\)
3080.1.bc.g	$3080$	$1$	3080.bc	3080.ac	$2$	$2$	$2$	$1.537$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-55}) \), \(\Q(\sqrt{-154}) \)	\(\Q(\sqrt{70}) \)		$8$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-iq^{2}-q^{4}-q^{5}-iq^{7}+iq^{8}-q^{9}+\cdots\)
3080.1.bc.h	$3080$	$1$	3080.bc	3080.ac	$2$	$2$	$2$	$1.537$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-154}) \)	\(\Q(\sqrt{385}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}-q^{4}-iq^{5}+iq^{7}+iq^{8}+\cdots\)
3080.1.bc.i	$3080$	$1$	3080.bc	3080.ac	$2$	$2$	$2$	$1.537$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-154}) \)	\(\Q(\sqrt{385}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+iq^{2}-q^{4}-iq^{5}-iq^{7}-iq^{8}+\cdots\)
3080.1.bc.j	$3080$	$1$	3080.bc	3080.ac	$2$	$2$	$2$	$1.537$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-55}) \), \(\Q(\sqrt{-154}) \)	\(\Q(\sqrt{70}) \)		$8$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q-iq^{2}-q^{4}+q^{5}-iq^{7}+iq^{8}-q^{9}+\cdots\)

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