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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	Analytic rank	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is twist minimal	Is self-dual

\(Nk^2\)	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	Twist minimal	Minimal twist	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	Twist minimal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	43	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
86.2.a.a	$86$	$2$	86.a	1.a	$1$	$2$	$2$	$0.687$	\(\Q(\sqrt{21}) \)	None	✓	✓	86.2.a.a	$1$	$0$	\(-2\)	\(-1\)	\(3\)	\(4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}+(1+\beta )q^{5}+\beta q^{6}+\cdots\)
86.2.a.b	$86$	$2$	86.a	1.a	$1$	$2$	$2$	$0.687$	\(\Q(\sqrt{5}) \)	None	✓	✓	86.2.a.b	$1$	$0$	\(2\)	\(1\)	\(-3\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}+(-1-\beta )q^{5}+\beta q^{6}+\cdots\)

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