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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	1601	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8005.2.a.c	$8005$	$2$	8005.a	1.a	$1$	$2$	$2$	$63.920$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$2$	\(-1\)	\(-2\)	\(2\)	\(-3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+q^{5}+\beta q^{6}+\cdots\)
8005.2.a.h	$8005$	$2$	8005.a	1.a	$1$	$137$	$137$	$63.920$		None	✓	$1$	$0$	\(17\)	\(46\)	\(137\)	\(53\)		$-$	$+$	$-$		$\mathrm{SU}(2)$

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