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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	5	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
135.6.a.e	$135$	$6$	135.a	1.a	$1$	$2$	$2$	$21.652$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-50\)	\(-150\)		$+$	$+$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(14+2\beta )q^{4}-5^{2}q^{5}+\cdots\)
135.6.a.h	$135$	$6$	135.a	1.a	$1$	$4$	$4$	$21.652$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(0\)	\(-100\)	\(146\)		$+$	$+$	$+$	$3^{3}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(22-2\beta _{1}+\beta _{3})q^{4}+\cdots\)

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