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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.b	$162$	$8$	162.a	1.a	$1$	$1$	$1$	$50.606$	\(\Q\)	None	✓	✓			162.8.a.a	$1$	$1$	\(8\)	\(0\)	\(-165\)	\(-508\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+8q^{2}+2^{6}q^{4}-165q^{5}-508q^{7}+\cdots\)
162.8.a.d	$162$	$8$	162.a	1.a	$1$	$2$	$2$	$50.606$	\(\Q(\sqrt{1929}) \)	None	✓	✓			162.8.a.c	$1$	$1$	\(16\)	\(0\)	\(-114\)	\(280\)		$-$	$+$	$-$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q+8q^{2}+2^{6}q^{4}+(-57-\beta )q^{5}+(140+\cdots)q^{7}+\cdots\)
162.8.a.f	$162$	$8$	162.a	1.a	$1$	$3$	$3$	$50.606$	3.3.69765.1	None	✓		✓		18.8.c.a	$1$	$1$	\(24\)	\(0\)	\(-54\)	\(-210\)		$-$	$+$	$-$	$2\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q+8q^{2}+2^{6}q^{4}+(-18-2\beta _{1}+3\beta _{2})q^{5}+\cdots\)

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