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

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)

 

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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	19
608.2.a.e	$608$	$2$	608.a	1.a	$1$	$1$	$1$	$4.855$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(5\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}+5q^{7}-3q^{9}+5q^{11}-4q^{13}+\cdots\)
608.2.a.f	$608$	$2$	608.a	1.a	$1$	$1$	$1$	$4.855$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(-1\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-q^{7}+6q^{9}+2q^{11}-q^{13}+\cdots\)
608.2.a.i	$608$	$2$	608.a	1.a	$1$	$4$	$4$	$4.855$	4.4.15317.1	None	✓	$1$	$0$	\(0\)	\(-2\)	\(1\)	\(1\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{3}-\beta _{1}q^{5}+(-\beta _{2}+\beta _{3})q^{7}+\cdots\)