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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		13	619	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8047.2.a.b	$8047$	$2$	8047.a	1.a	$1$	$142$	$142$	$64.256$		None	✓	$1$	$1$	\(-13\)	\(-26\)	\(-37\)	\(-14\)		$-$	$-$	$+$		$\mathrm{SU}(2)$
8047.2.a.c	$8047$	$2$	8047.a	1.a	$1$	$151$	$151$	$64.256$		None	✓	$1$	$1$	\(-13\)	\(-16\)	\(-43\)	\(-18\)		$+$	$+$	$+$		$\mathrm{SU}(2)$

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