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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	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
336.4.a.g	$336$	$4$	336.a	1.a	$1$	$1$	$1$	$19.825$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(-10\)	\(-7\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-10q^{5}-7q^{7}+9q^{9}+12q^{11}+\cdots\)
336.4.a.i	$336$	$4$	336.a	1.a	$1$	$1$	$1$	$19.825$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(-2\)	\(-7\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-2q^{5}-7q^{7}+9q^{9}-12q^{11}+\cdots\)

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