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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	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
912.6.a.t	$912$	$6$	912.a	1.a	$1$	$5$	$5$	$146.270$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-45\)	\(-59\)	\(149\)		$+$	$+$	$+$	$+$	$2^{6}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q-9q^{3}+(-12-\beta _{1})q^{5}+(30-\beta _{1}+\cdots)q^{7}+\cdots\)
912.6.a.z	$912$	$6$	912.a	1.a	$1$	$7$	$7$	$146.270$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-63\)	\(-29\)	\(-119\)		$+$	$+$	$+$	$+$	$2^{10}$	$\mathrm{SU}(2)$	\(q-9q^{3}+(-4-\beta _{1})q^{5}+(-17+\beta _{3}+\cdots)q^{7}+\cdots\)

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