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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is twist minimal	Is self-dual

\(Nk^2\)	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	Twist minimal	Minimal twist	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	Twist minimal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
912.4.a.r	$912$	$4$	912.a	1.a	$1$	$4$	$4$	$53.810$	4.4.4914253.1	None	✓		456.4.a.e	$1$	$1$	\(0\)	\(-12\)	\(-16\)	\(14\)		$+$	$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-3q^{3}+(-4+\beta _{2}+\beta _{3})q^{5}+(4+\beta _{1}+\cdots)q^{7}+\cdots\)
912.4.a.s	$912$	$4$	912.a	1.a	$1$	$4$	$4$	$53.810$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓		456.4.a.f	$1$	$1$	\(0\)	\(-12\)	\(-8\)	\(-10\)		$+$	$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-3q^{3}+(-2+\beta _{1})q^{5}+(-3-\beta _{1}+\cdots)q^{7}+\cdots\)

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