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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
1440.4.a.u	$1440$	$4$	1440.a	1.a	$1$	$2$	$2$	$84.963$	\(\Q(\sqrt{65}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(-10\)	\(0\)		$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-5q^{5}-\beta q^{7}+\beta q^{11}-8q^{13}+26q^{17}+\cdots\)
1440.4.a.bh	$1440$	$4$	1440.a	1.a	$1$	$3$	$3$	$84.963$	3.3.16773.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-15\)	\(-14\)		$-$	$+$	$+$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q-5q^{5}+(-5+\beta _{1})q^{7}+(7+2\beta _{1}+\beta _{2})q^{11}+\cdots\)

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