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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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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	11	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6864.2.a.ca	$6864$	$2$	6864.a	1.a	$1$	$4$	$4$	$54.809$	4.4.70164.1	None	✓	$1$	$0$	\(0\)	\(4\)	\(1\)	\(1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+\beta _{1}q^{5}+(1+\beta _{2}-\beta _{3})q^{7}+q^{9}+\cdots\)
6864.2.a.cc	$6864$	$2$	6864.a	1.a	$1$	$4$	$4$	$54.809$	4.4.23252.1	None	✓	$1$	$0$	\(0\)	\(4\)	\(4\)	\(-2\)		$+$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}+(1+\beta _{2})q^{5}-\beta _{1}q^{7}+q^{9}-q^{11}+\cdots\)

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