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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
1080.4.a.a	$1080$	$4$	1080.a	1.a	$1$	$2$	$2$	$63.722$	\(\Q(\sqrt{241}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-10\)	\(-5\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}+(-2-\beta )q^{7}+(3-\beta )q^{11}+\cdots\)
1080.4.a.e	$1080$	$4$	1080.a	1.a	$1$	$3$	$3$	$63.722$	3.3.4281.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-15\)	\(-8\)		$+$	$-$	$+$	$-$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q-5q^{5}+(-3+\beta _{1})q^{7}+(4-\beta _{1}+\beta _{2})q^{11}+\cdots\)

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