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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 (3 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.f	$3960$	$2$	3960.a	1.a	$1$	$1$	$1$	$31.621$	\(\Q\)	None	✓				440.2.a.d	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+q^{7}+q^{11}-6q^{13}-3q^{17}+\cdots\)
3960.2.a.i	$3960$	$2$	3960.a	1.a	$1$	$1$	$1$	$31.621$	\(\Q\)	None	✓				440.2.a.c	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(4\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+4q^{7}+q^{11}+6q^{13}+6q^{17}+\cdots\)
3960.2.a.z	$3960$	$2$	3960.a	1.a	$1$	$2$	$2$	$31.621$	\(\Q(\sqrt{2}) \)	None	✓		✓		1320.2.a.p	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{5}+\beta q^{7}+q^{11}+(2-\beta )q^{13}+(-2+\cdots)q^{17}+\cdots\)

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