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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
15.8.a.a	$15$	$8$	15.a	1.a	$1$	$1$	$1$	$4.686$	\(\Q\)	None	✓	$1$	$1$	\(-22\)	\(27\)	\(-125\)	\(-420\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-22q^{2}+3^{3}q^{3}+356q^{4}-5^{3}q^{5}+\cdots\)
15.8.a.b	$15$	$8$	15.a	1.a	$1$	$1$	$1$	$4.686$	\(\Q\)	None	✓	$1$	$0$	\(-13\)	\(-27\)	\(-125\)	\(1380\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-13q^{2}-3^{3}q^{3}+41q^{4}-5^{3}q^{5}+\cdots\)

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