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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	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
528.4.a.i	$528$	$4$	528.a	1.a	$1$	$1$	$1$	$31.153$	\(\Q\)	None	✓				132.4.a.b	$1$	$1$	\(0\)	\(3\)	\(0\)	\(-2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-2q^{7}+9q^{9}+11q^{11}-88q^{13}+\cdots\)
528.4.a.p	$528$	$4$	528.a	1.a	$1$	$2$	$2$	$31.153$	\(\Q(\sqrt{97}) \)	None	✓		✓		33.4.a.c	$1$	$1$	\(0\)	\(6\)	\(-14\)	\(-24\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+3q^{3}+(-7-\beta )q^{5}+(-12+2\beta )q^{7}+\cdots\)

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