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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	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
729.2.a.b	$729$	$2$	729.a	1.a	$1$	$6$	$6$	$5.821$	6.6.7459857.1	None	✓	✓			729.2.a.b	$1$	$0$	\(-3\)	\(0\)	\(3\)	\(6\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}-\beta _{3})q^{2}+(1+\beta _{1}+\beta _{2}+\beta _{4}+\cdots)q^{4}+\cdots\)
729.2.a.d	$729$	$2$	729.a	1.a	$1$	$6$	$6$	$5.821$	6.6.1397493.1	None	✓				27.2.e.a	$1$	$0$	\(3\)	\(0\)	\(6\)	\(0\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{5})q^{2}+(\beta _{1}-\beta _{2}-\beta _{3})q^{4}+\cdots\)
729.2.a.e	$729$	$2$	729.a	1.a	$1$	$6$	$6$	$5.821$	6.6.7459857.1	None	✓	✓			729.2.a.b	$1$	$0$	\(3\)	\(0\)	\(-3\)	\(6\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{3})q^{2}+(1+\beta _{1}+\beta _{2}+\beta _{4}+\cdots)q^{4}+\cdots\)

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