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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Results (6 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	5	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
960.4.a.bc	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	\(\Q\)	None	✓				60.4.a.a	$1$	$0$	\(0\)	\(3\)	\(5\)	\(-28\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+5q^{5}-28q^{7}+9q^{9}+24q^{11}+\cdots\)
960.4.a.bf	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	\(\Q\)	None	✓				120.4.a.a	$1$	$0$	\(0\)	\(3\)	\(5\)	\(4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+5q^{5}+4q^{7}+9q^{9}-72q^{11}+\cdots\)
960.4.a.bh	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	\(\Q\)	None	✓				480.4.a.b	$1$	$0$	\(0\)	\(3\)	\(5\)	\(8\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+5q^{5}+8q^{7}+9q^{9}+4q^{11}+\cdots\)
960.4.a.bi	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	\(\Q\)	None	✓				15.4.a.b	$1$	$0$	\(0\)	\(3\)	\(5\)	\(20\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+5q^{5}+20q^{7}+9q^{9}+24q^{11}+\cdots\)
960.4.a.bj	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	\(\Q\)	None	✓				120.4.a.b	$1$	$0$	\(0\)	\(3\)	\(5\)	\(20\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+5q^{5}+20q^{7}+9q^{9}+56q^{11}+\cdots\)
960.4.a.bp	$960$	$4$	960.a	1.a	$1$	$2$	$2$	$56.642$	\(\Q(\sqrt{201}) \)	None	✓		✓		480.4.a.n	$1$	$0$	\(0\)	\(6\)	\(10\)	\(-4\)		$+$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+3q^{3}+5q^{5}+(-2-\beta )q^{7}+9q^{9}+\cdots\)

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