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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		23	349	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8027.2.a.a	$8027$	$2$	8027.a	1.a	$1$	$1$	$1$	$64.096$	\(\Q\)	None	✓	$1$	$2$	\(-2\)	\(-3\)	\(0\)	\(-1\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+2q^{4}+6q^{6}-q^{7}+\cdots\)
8027.2.a.f	$8027$	$2$	8027.a	1.a	$1$	$176$	$176$	$64.096$		None	✓	$1$	$0$	\(19\)	\(22\)	\(28\)	\(30\)		$-$	$+$	$-$		$\mathrm{SU}(2)$

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