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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	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
462.6.a.a	$462$	$6$	462.a	1.a	$1$	$1$	$1$	$74.097$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(-9\)	\(-78\)	\(49\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}-78q^{5}+6^{2}q^{6}+\cdots\)
462.6.a.h	$462$	$6$	462.a	1.a	$1$	$2$	$2$	$74.097$	\(\Q(\sqrt{14239}) \)	None	✓	$1$	$1$	\(-8\)	\(-18\)	\(98\)	\(98\)		$+$	$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}+7^{2}q^{5}+6^{2}q^{6}+\cdots\)

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