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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	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
162.8.a.a	$162$	$8$	162.a	1.a	$1$	$1$	$1$	$50.606$	\(\Q\)	None	✓	✓			162.8.a.a	$1$	$0$	\(-8\)	\(0\)	\(165\)	\(-508\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-8q^{2}+2^{6}q^{4}+165q^{5}-508q^{7}+\cdots\)
162.8.a.c	$162$	$8$	162.a	1.a	$1$	$2$	$2$	$50.606$	\(\Q(\sqrt{1929}) \)	None	✓	✓			162.8.a.c	$1$	$0$	\(-16\)	\(0\)	\(114\)	\(280\)		$+$	$+$	$+$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q-8q^{2}+2^{6}q^{4}+(57-\beta )q^{5}+(140+\cdots)q^{7}+\cdots\)
162.8.a.h	$162$	$8$	162.a	1.a	$1$	$4$	$4$	$50.606$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓		✓		18.8.c.b	$1$	$0$	\(-32\)	\(0\)	\(-54\)	\(44\)		$+$	$+$	$+$	$2^{2}\cdot 3^{8}$	$\mathrm{SU}(2)$	\(q-8q^{2}+2^{6}q^{4}+(-14-\beta _{1})q^{5}+(12+\cdots)q^{7}+\cdots\)

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