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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	5	11	43	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
4730.2.a.s	$4730$	$2$	4730.a	1.a	$1$	$2$	$2$	$37.769$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(2\)	\(1\)	\(2\)	\(-5\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}+q^{5}+\beta q^{6}+(-2+\cdots)q^{7}+\cdots\)
4730.2.a.u	$4730$	$2$	4730.a	1.a	$1$	$4$	$4$	$37.769$	4.4.23252.1	None	✓	$1$	$1$	\(4\)	\(-3\)	\(4\)	\(0\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)

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