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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.i	$285$	$10$	285.a	1.a	$1$	$15$	$15$	$146.785$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	✓	✓	✓	285.10.a.i	$1$	$0$	\(15\)	\(1215\)	\(9375\)	\(9306\)		$-$	$-$	$-$	$-$	$2^{21}\cdot 3^{10}\cdot 5^{5}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+3^{4}q^{3}+(337+\beta _{2})q^{4}+\cdots\)

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