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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 (10 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	167	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8016.2.a.a	$8016$	$2$	8016.a	1.a	$1$	$1$	$1$	$64.008$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-3\)	\(3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}+3q^{7}+q^{9}-6q^{13}+\cdots\)
8016.2.a.b	$8016$	$2$	8016.a	1.a	$1$	$1$	$1$	$64.008$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-1\)	\(1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+q^{7}+q^{9}-2q^{11}-6q^{13}+\cdots\)
8016.2.a.c	$8016$	$2$	8016.a	1.a	$1$	$1$	$1$	$64.008$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-1\)	\(1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
8016.2.a.d	$8016$	$2$	8016.a	1.a	$1$	$1$	$1$	$64.008$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(-4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-4q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
8016.2.a.e	$8016$	$2$	8016.a	1.a	$1$	$1$	$1$	$64.008$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{9}+2q^{17}+8q^{19}+4q^{23}+\cdots\)
8016.2.a.f	$8016$	$2$	8016.a	1.a	$1$	$1$	$1$	$64.008$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(2\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}+4q^{7}+q^{9}+4q^{11}+\cdots\)
8016.2.a.g	$8016$	$2$	8016.a	1.a	$1$	$1$	$1$	$64.008$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-4\)	\(-4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-4q^{5}-4q^{7}+q^{9}-4q^{11}+\cdots\)
8016.2.a.h	$8016$	$2$	8016.a	1.a	$1$	$1$	$1$	$64.008$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{9}-4q^{13}+6q^{17}-4q^{23}+\cdots\)
8016.2.a.i	$8016$	$2$	8016.a	1.a	$1$	$1$	$1$	$64.008$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+3q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
8016.2.a.j	$8016$	$2$	8016.a	1.a	$1$	$1$	$1$	$64.008$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(3\)	\(-3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+3q^{5}-3q^{7}+q^{9}-6q^{11}+\cdots\)

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