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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	7	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
182.6.a.b	$182$	$6$	182.a	1.a	$1$	$1$	$1$	$29.190$	\(\Q\)	None	✓	✓	182.6.a.b	$1$	$1$	\(4\)	\(-30\)	\(29\)	\(-49\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}-30q^{3}+2^{4}q^{4}+29q^{5}-120q^{6}+\cdots\)
182.6.a.d	$182$	$6$	182.a	1.a	$1$	$2$	$2$	$29.190$	\(\Q(\sqrt{14}) \)	None	✓	✓	182.6.a.d	$1$	$1$	\(8\)	\(8\)	\(-54\)	\(-98\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+(4+3\beta )q^{3}+2^{4}q^{4}+(-3^{3}+\cdots)q^{5}+\cdots\)

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