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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	11	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
858.2.a.j	$858$	$2$	858.a	1.a	$1$	$1$	$1$	$6.851$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(-3\)	\(5\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}-3q^{5}+q^{6}+5q^{7}+\cdots\)
858.2.a.q	$858$	$2$	858.a	1.a	$1$	$2$	$2$	$6.851$	\(\Q(\sqrt{41}) \)	None	✓	$1$	$0$	\(2\)	\(2\)	\(4\)	\(0\)		$-$	$-$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{8}+\cdots\)

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