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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	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
5586.2.a.bo	$5586$	$2$	5586.a	1.a	$1$	$2$	$2$	$44.604$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(2\)	\(2\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
5586.2.a.bv	$5586$	$2$	5586.a	1.a	$1$	$3$	$3$	$44.604$	3.3.404.1	None	✓	$1$	$1$	\(3\)	\(3\)	\(-5\)	\(0\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+(-2+\beta _{1})q^{5}+q^{6}+\cdots\)

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