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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 (4 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.bd	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	\(\Q\)	None	✓				120.4.a.e	$1$	$1$	\(0\)	\(3\)	\(5\)	\(-20\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+5q^{5}-20q^{7}+9q^{9}+2^{4}q^{11}+\cdots\)
960.4.a.be	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	\(\Q\)	None	✓				480.4.a.a	$1$	$1$	\(0\)	\(3\)	\(5\)	\(-12\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+5q^{5}-12q^{7}+9q^{9}-20q^{11}+\cdots\)
960.4.a.bg	$960$	$4$	960.a	1.a	$1$	$1$	$1$	$56.642$	\(\Q\)	None	✓				30.4.a.b	$1$	$1$	\(0\)	\(3\)	\(5\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+5q^{5}+4q^{7}+9q^{9}-48q^{11}+\cdots\)
960.4.a.bo	$960$	$4$	960.a	1.a	$1$	$2$	$2$	$56.642$	\(\Q(\sqrt{41}) \)	None	✓		✓		480.4.a.m	$1$	$1$	\(0\)	\(6\)	\(10\)	\(-12\)		$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+3q^{3}+5q^{5}+(-6-\beta )q^{7}+9q^{9}+\cdots\)

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