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Level	Weight	Analytic conductor	\(Nk^2\)	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Results (5 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	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	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6561.2.a.a	$6561$	$2$	6561.a	1.a	$1$	$36$	$36$	$52.390$		None	✓	$1$	$1$	\(-9\)	\(0\)	\(0\)	\(-18\)		$+$	$+$		$\mathrm{SU}(2)$
6561.2.a.b	$6561$	$2$	6561.a	1.a	$1$	$36$	$36$	$52.390$		None	✓	$1$	$1$	\(9\)	\(0\)	\(0\)	\(-18\)		$+$	$+$		$\mathrm{SU}(2)$
6561.2.a.c	$6561$	$2$	6561.a	1.a	$1$	$72$	$72$	$52.390$		None	✓	$1$	$1$	\(-9\)	\(0\)	\(-18\)	\(0\)		$+$	$+$		$\mathrm{SU}(2)$
6561.2.a.d	$6561$	$2$	6561.a	1.a	$1$	$72$	$72$	$52.390$		None	✓	$1$	$0$	\(9\)	\(0\)	\(18\)	\(0\)		$-$	$-$		$\mathrm{SU}(2)$
6561.2.a.e	$6561$	$2$	6561.a	1.a	$1$	$90$	$90$	$52.390$		None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(36\)		$-$	$-$		$\mathrm{SU}(2)$

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