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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	5	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
450.6.a.z	$450$	$6$	450.a	1.a	$1$	$2$	$2$	$72.173$	\(\Q(\sqrt{19}) \)	None	✓	$2$	$0$	\(-8\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-4q^{2}+2^{4}q^{4}+\beta q^{7}-2^{6}q^{8}+37\beta q^{11}+\cdots\)
450.6.a.ba	$450$	$6$	450.a	1.a	$1$	$2$	$2$	$72.173$	\(\Q(\sqrt{4081}) \)	None	✓	$1$	$0$	\(-8\)	\(0\)	\(0\)	\(100\)		$+$	$+$	$-$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q-4q^{2}+2^{4}q^{4}+(50-\beta )q^{7}-2^{6}q^{8}+\cdots\)

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