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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.b	$48$	$12$	48.a	1.a	$1$	$1$	$1$	$36.880$	\(\Q\)	None	✓				24.12.a.c	$1$	$0$	\(0\)	\(-243\)	\(1870\)	\(72312\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3^{5}q^{3}+1870q^{5}+72312q^{7}+3^{10}q^{9}+\cdots\)
48.12.a.j	$48$	$12$	48.a	1.a	$1$	$2$	$2$	$36.880$	\(\Q(\sqrt{3061}) \)	None	✓		✓		24.12.a.d	$1$	$0$	\(0\)	\(-486\)	\(1564\)	\(-37776\)		$+$	$+$	$+$	$2^{7}\cdot 3$	$\mathrm{SU}(2)$	\(q-3^{5}q^{3}+(782-\beta )q^{5}+(-18888+\cdots)q^{7}+\cdots\)

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