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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
33.6.a.a	$33$	$6$	33.a	1.a	$1$	$1$	$1$	$5.293$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(-9\)	\(46\)	\(148\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-9q^{3}-28q^{4}+46q^{5}+18q^{6}+\cdots\)
33.6.a.d	$33$	$6$	33.a	1.a	$1$	$2$	$2$	$5.293$	\(\Q(\sqrt{313}) \)	None	✓	$1$	$0$	\(1\)	\(-18\)	\(-38\)	\(-18\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-9q^{3}+(46+\beta )q^{4}+(-24+\cdots)q^{5}+\cdots\)

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