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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 (7 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	3
1152.2.a.a	$1152$	$2$	1152.a	1.a	$1$	$1$	$1$	$9.199$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(-2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}-2q^{7}-4q^{11}-2q^{13}+2q^{17}+\cdots\)
1152.2.a.c	$1152$	$2$	1152.a	1.a	$1$	$1$	$1$	$9.199$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(-4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}-4q^{7}+2q^{11}+2q^{13}+2q^{17}+\cdots\)
1152.2.a.h	$1152$	$2$	1152.a	1.a	$1$	$1$	$1$	$9.199$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+4q^{7}-2q^{11}+2q^{13}+2q^{17}+\cdots\)
1152.2.a.l	$1152$	$2$	1152.a	1.a	$1$	$1$	$1$	$9.199$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}+4q^{11}+6q^{13}-6q^{17}-4q^{23}+\cdots\)
1152.2.a.r	$1152$	$2$	1152.a	1.a	$1$	$1$	$1$	$9.199$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+4q^{7}+2q^{11}-2q^{13}+2q^{17}+\cdots\)
1152.2.a.s	$1152$	$2$	1152.a	1.a	$1$	$1$	$1$	$9.199$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(-2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{5}-2q^{7}+4q^{11}+2q^{13}+2q^{17}+\cdots\)
1152.2.a.t	$1152$	$2$	1152.a	1.a	$1$	$1$	$1$	$9.199$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{5}+2q^{7}-4q^{11}+2q^{13}+2q^{17}+\cdots\)