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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
150.12.a.q	$150$	$12$	150.a	1.a	$1$	$2$	$2$	$115.251$	\(\Q(\sqrt{499}) \)	None	✓	$1$	$1$	\(64\)	\(486\)	\(0\)	\(-65438\)		$-$	$-$	$-$	$-$	$2^{4}\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q+2^{5}q^{2}+3^{5}q^{3}+2^{10}q^{4}+6^{5}q^{6}+\cdots\)
150.12.a.r	$150$	$12$	150.a	1.a	$1$	$2$	$2$	$115.251$	\(\Q(\sqrt{1129}) \)	None	✓	$1$	$1$	\(64\)	\(486\)	\(0\)	\(-27738\)		$-$	$-$	$-$	$-$	$2\cdot 5$	$\mathrm{SU}(2)$	\(q+2^{5}q^{2}+3^{5}q^{3}+2^{10}q^{4}+6^{5}q^{6}+\cdots\)

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