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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	3	5	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
270.4.a.a	$270$	$4$	270.a	1.a	$1$	$1$	$1$	$15.931$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-5\)	\(-34\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}-5q^{5}-34q^{7}-8q^{8}+\cdots\)
270.4.a.m	$270$	$4$	270.a	1.a	$1$	$2$	$2$	$15.931$	\(\Q(\sqrt{401}) \)	None	✓	$1$	$0$	\(-4\)	\(0\)	\(-10\)	\(1\)		$+$	$+$	$+$	$+$	$3$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}-5q^{5}+(1+\beta )q^{7}-8q^{8}+\cdots\)

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