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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	113	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
5424.2.a.bl	$5424$	$2$	5424.a	1.a	$1$	$4$	$4$	$43.311$	4.4.19796.1	None	✓	$1$	$0$	\(0\)	\(-4\)	\(-2\)	\(3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(-1-\beta _{2})q^{5}+(\beta _{1}-\beta _{2})q^{7}+\cdots\)
5424.2.a.bm	$5424$	$2$	5424.a	1.a	$1$	$4$	$4$	$43.311$	4.4.77976.1	None	✓	$1$	$0$	\(0\)	\(-4\)	\(0\)	\(-5\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-\beta _{2}q^{5}+(-1-\beta _{1})q^{7}+q^{9}+\cdots\)

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