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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 (6 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
1216.2.a.a	$1216$	$2$	1216.a	1.a	$1$	$1$	$1$	$9.710$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-q^{7}+6q^{9}-2q^{11}+q^{13}+\cdots\)
1216.2.a.b	$1216$	$2$	1216.a	1.a	$1$	$1$	$1$	$9.710$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-3\)	\(1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-3q^{5}+q^{7}+q^{9}+3q^{11}+\cdots\)
1216.2.a.i	$1216$	$2$	1216.a	1.a	$1$	$1$	$1$	$9.710$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(5\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}+5q^{7}-3q^{9}-5q^{11}+4q^{13}+\cdots\)
1216.2.a.l	$1216$	$2$	1216.a	1.a	$1$	$1$	$1$	$9.710$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-3q^{7}-2q^{9}+2q^{11}-q^{13}+\cdots\)
1216.2.a.m	$1216$	$2$	1216.a	1.a	$1$	$1$	$1$	$9.710$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{7}-2q^{9}-6q^{11}-5q^{13}+\cdots\)
1216.2.a.t	$1216$	$2$	1216.a	1.a	$1$	$2$	$2$	$9.710$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(-6\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(1-\beta )q^{5}-3q^{7}+(1+\beta )q^{9}+\cdots\)