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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
285.10.a.c	$285$	$10$	285.a	1.a	$1$	$12$	$12$	$146.785$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	✓	✓	✓	285.10.a.c	$1$	$1$	\(-33\)	\(-972\)	\(7500\)	\(-3450\)		$+$	$-$	$-$	$+$	$2^{13}\cdot 3^{6}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q+(-3+\beta _{1})q^{2}-3^{4}q^{3}+(230-3\beta _{1}+\cdots)q^{4}+\cdots\)

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