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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	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs			Fricke sign	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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	17	157	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8007.2.a.a	$8007$	$2$	8007.a	1.a	$1$	$1$	$1$	$63.936$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(0\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}-q^{6}+2q^{7}-3q^{8}+\cdots\)
8007.2.a.c	$8007$	$2$	8007.a	1.a	$1$	$39$	$39$	$63.936$		None	✓	$1$	$1$	\(-4\)	\(-39\)	\(-3\)	\(-5\)		$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$

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