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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 (10 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	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	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
4032.2.c.a	$4032$	$2$	4032.c	8.b	$2$	$2$	$2$	$32.196$	\(\Q(\sqrt{-1}) \)	None		$2$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)	$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{5}-q^{7}+2iq^{11}-iq^{13}-2q^{17}+\cdots\)
4032.2.c.b	$4032$	$2$	4032.c	8.b	$2$	$2$	$2$	$32.196$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+2iq^{5}-q^{7}+iq^{11}-2iq^{13}-2q^{17}+\cdots\)
4032.2.c.c	$4032$	$2$	4032.c	8.b	$2$	$2$	$2$	$32.196$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{5}-q^{7}-iq^{11}-iq^{13}-2q^{17}+\cdots\)
4032.2.c.d	$4032$	$2$	4032.c	8.b	$2$	$2$	$2$	$32.196$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{5}-q^{7}+2iq^{11}+iq^{13}+2q^{17}+\cdots\)
4032.2.c.e	$4032$	$2$	4032.c	8.b	$2$	$2$	$2$	$32.196$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{5}-q^{7}-iq^{11}+3iq^{13}+6q^{17}+\cdots\)
4032.2.c.f	$4032$	$2$	4032.c	8.b	$2$	$2$	$2$	$32.196$	\(\Q(\sqrt{-1}) \)	None		$2$	$1$	\(0\)	\(0\)	\(0\)	\(2\)	$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+2iq^{5}+q^{7}-iq^{11}-2iq^{13}-2q^{17}+\cdots\)
4032.2.c.g	$4032$	$2$	4032.c	8.b	$2$	$2$	$2$	$32.196$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{5}+q^{7}+iq^{11}-iq^{13}-2q^{17}+\cdots\)
4032.2.c.h	$4032$	$2$	4032.c	8.b	$2$	$2$	$2$	$32.196$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{5}+q^{7}-2iq^{11}-iq^{13}-2q^{17}+\cdots\)
4032.2.c.i	$4032$	$2$	4032.c	8.b	$2$	$2$	$2$	$32.196$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{5}+q^{7}-2iq^{11}+iq^{13}+2q^{17}+\cdots\)
4032.2.c.j	$4032$	$2$	4032.c	8.b	$2$	$2$	$2$	$32.196$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{5}+q^{7}+iq^{11}+3iq^{13}+6q^{17}+\cdots\)

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