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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Is maximal/largest

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

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	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	Largest	Maximal	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.k	$912$	$4$	912.a	1.a	$1$	$2$	$2$	$53.810$	\(\Q(\sqrt{105}) \)	None	✓				456.4.a.a	$1$	$1$	\(0\)	\(6\)	\(-9\)	\(-3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+(-4-\beta )q^{5}+(-2+\beta )q^{7}+\cdots\)
912.4.a.q	$912$	$4$	912.a	1.a	$1$	$3$	$3$	$53.810$	3.3.24665.1	None	✓		✓		456.4.a.c	$1$	$1$	\(0\)	\(9\)	\(-1\)	\(-7\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+3q^{3}+\beta _{1}q^{5}+(-3-2\beta _{1}+3\beta _{2})q^{7}+\cdots\)

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