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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	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
3960.2.a.m	$3960$	$2$	3960.a	1.a	$1$	$1$	$1$	$31.621$	\(\Q\)	None	✓				1320.2.a.i	$1$	$0$	\(0\)	\(0\)	\(1\)	\(-2\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-2q^{7}+q^{11}-4q^{13}-4q^{17}+\cdots\)
3960.2.a.n	$3960$	$2$	3960.a	1.a	$1$	$1$	$1$	$31.621$	\(\Q\)	None	✓				1320.2.a.a	$1$	$0$	\(0\)	\(0\)	\(1\)	\(-2\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-2q^{7}+q^{11}-4q^{13}+4q^{17}+\cdots\)
3960.2.a.t	$3960$	$2$	3960.a	1.a	$1$	$1$	$1$	$31.621$	\(\Q\)	None	✓				1320.2.a.d	$1$	$0$	\(0\)	\(0\)	\(1\)	\(4\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+4q^{7}+q^{11}+2q^{13}-2q^{17}+\cdots\)
3960.2.a.bf	$3960$	$2$	3960.a	1.a	$1$	$2$	$2$	$31.621$	\(\Q(\sqrt{17}) \)	None	✓		✓		440.2.a.g	$1$	$0$	\(0\)	\(0\)	\(2\)	\(5\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(3-\beta )q^{7}+q^{11}+(2+2\beta )q^{13}+\cdots\)

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