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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.b	$528$	$4$	528.a	1.a	$1$	$1$	$1$	$31.153$	\(\Q\)	None	✓				264.4.a.d	$1$	$1$	\(0\)	\(-3\)	\(-6\)	\(8\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-6q^{5}+8q^{7}+9q^{9}+11q^{11}+\cdots\)
528.4.a.m	$528$	$4$	528.a	1.a	$1$	$2$	$2$	$31.153$	\(\Q(\sqrt{185}) \)	None	✓		✓		264.4.a.g	$1$	$1$	\(0\)	\(-6\)	\(-6\)	\(-22\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-3q^{3}+(-3-\beta )q^{5}+(-11+\beta )q^{7}+\cdots\)

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