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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
729.2.a.a	$729$	$2$	729.a	1.a	$1$	$6$	$6$	$5.821$	6.6.1397493.1	None	✓	$1$	$1$	\(-3\)	\(0\)	\(-6\)	\(0\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}-\beta _{5})q^{2}+(\beta _{1}-\beta _{2}-\beta _{3})q^{4}+\cdots\)
729.2.a.c	$729$	$2$	729.a	1.a	$1$	$6$	$6$	$5.821$	\(\Q(\zeta_{36})^+\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-12\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(-\beta _{1}-\beta _{3})q^{5}+\cdots\)

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