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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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Results (3 matches)

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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		19	211	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
4009.2.a.a	$4009$	$2$	4009.a	1.a	$1$	$1$	$1$	$32.012$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(2\)	\(3\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}-q^{4}+3q^{5}-2q^{6}+3q^{8}+\cdots\)
4009.2.a.e	$4009$	$2$	4009.a	1.a	$1$	$82$	$82$	$32.012$		None	✓	$1$	$0$	\(15\)	\(12\)	\(9\)	\(14\)		$-$	$+$	$-$		$\mathrm{SU}(2)$
4009.2.a.f	$4009$	$2$	4009.a	1.a	$1$	$83$	$83$	$32.012$		None	✓	$1$	$0$	\(11\)	\(0\)	\(15\)	\(19\)		$+$	$-$	$-$		$\mathrm{SU}(2)$

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