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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is twist minimal	Is self-dual

\(Nk^2\)	Coefficient ring index	Coefficient ring gens.	Projective image	Projective image type

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	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	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	89	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
1602.2.a.c	$1602$	$2$	1602.a	1.a	$1$	$1$	$1$	$12.792$	\(\Q\)	None	✓		178.2.a.a	$1$	$1$	\(1\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-2q^{5}+q^{8}-2q^{10}-4q^{13}+\cdots\)
1602.2.a.f	$1602$	$2$	1602.a	1.a	$1$	$2$	$2$	$12.792$	\(\Q(\sqrt{13}) \)	None	✓		534.2.a.c	$1$	$1$	\(2\)	\(0\)	\(-3\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+(-1-\beta )q^{5}+(-2+2\beta )q^{7}+\cdots\)

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