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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		11	17	43	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8041.2.a.a	$8041$	$2$	8041.a	1.a	$1$	$1$	$1$	$64.208$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(2\)	\(3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-2q^{3}+2q^{4}+2q^{5}+4q^{6}+\cdots\)
8041.2.a.c	$8041$	$2$	8041.a	1.a	$1$	$60$	$60$	$64.208$		None	✓	$1$	$1$	\(-9\)	\(-6\)	\(-15\)	\(-17\)		$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$

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