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Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		37	109	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
4033.2.a.b	$4033$	$2$	4033.a	1.a	$1$	$1$	$1$	$32.204$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-2\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-2q^{5}+2q^{7}-3q^{8}-3q^{9}+\cdots\)
4033.2.a.e	$4033$	$2$	4033.a	1.a	$1$	$82$	$82$	$32.204$		None	✓	$1$	$0$	\(10\)	\(17\)	\(22\)	\(15\)		$+$	$-$	$-$		$\mathrm{SU}(2)$

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