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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	5	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
160.6.a.b	$160$	$6$	160.a	1.a	$1$	$2$	$2$	$25.661$	\(\Q(\sqrt{5}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-50\)	\(0\)		$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-3\beta q^{3}-5^{2}q^{5}-31\beta q^{7}-63q^{9}+\cdots\)
160.6.a.g	$160$	$6$	160.a	1.a	$1$	$3$	$3$	$25.661$	3.3.39180.1	None	✓	$1$	$0$	\(0\)	\(10\)	\(-75\)	\(-6\)		$-$	$+$	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q+(3+\beta _{1})q^{3}-5^{2}q^{5}+(-2-\beta _{1}+\beta _{2})q^{7}+\cdots\)

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