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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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Results (3 matches)

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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	241	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2169.4.a.b	$2169$	$4$	2169.a	1.a	$1$	$27$	$27$	$127.975$		None	✓				241.4.a.a	$1$	$0$	\(11\)	\(0\)	\(50\)	\(-68\)		$-$	$-$	$+$		$\mathrm{SU}(2)$
2169.4.a.d	$2169$	$4$	2169.a	1.a	$1$	$31$	$31$	$127.975$		None	✓				723.4.a.c	$1$	$0$	\(7\)	\(0\)	\(58\)	\(26\)		$-$	$-$	$+$		$\mathrm{SU}(2)$
2169.4.a.f	$2169$	$4$	2169.a	1.a	$1$	$35$	$35$	$127.975$		None	✓		✓		723.4.a.d	$1$	$0$	\(-9\)	\(0\)	\(-66\)	\(110\)		$-$	$-$	$+$		$\mathrm{SU}(2)$

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