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Level	Weight	Analytic conductor	Analytic rank	Dim.

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

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

\(Nk^2\)	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	Twist minimal	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	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	13	31	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
1209.2.a.b	$1209$	$2$	1209.a	1.a	$1$	$1$	$1$	$9.654$	\(\Q\)	None	✓	✓	1209.2.a.b	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}-2q^{7}+q^{9}+q^{11}-2q^{12}+\cdots\)
1209.2.a.d	$1209$	$2$	1209.a	1.a	$1$	$2$	$2$	$9.654$	\(\Q(\sqrt{2}) \)	None	✓	✓	1209.2.a.d	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}-\beta q^{5}+\beta q^{6}-2q^{7}+\cdots\)

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