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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	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
48.12.a.e	$48$	$12$	48.a	1.a	$1$	$1$	$1$	$36.880$	\(\Q\)	None	✓				24.12.a.a	$1$	$1$	\(0\)	\(243\)	\(-7130\)	\(19536\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3^{5}q^{3}-7130q^{5}+19536q^{7}+3^{10}q^{9}+\cdots\)
48.12.a.g	$48$	$12$	48.a	1.a	$1$	$1$	$1$	$36.880$	\(\Q\)	None	✓				24.12.a.b	$1$	$1$	\(0\)	\(243\)	\(1190\)	\(-18480\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3^{5}q^{3}+1190q^{5}-18480q^{7}+3^{10}q^{9}+\cdots\)

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