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Level	Weight	Analytic conductor	\(Nk^2\)	Dim.

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

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

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	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	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2.20.a.a	$2$	$20$	2.a	1.a	$1$	$1$	$1$	$4.576$	\(\Q\)	None	✓	$1$	$0$	\(-512\)	\(-13092\)	\(6546750\)	\(96674264\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{9}q^{2}-13092q^{3}+2^{18}q^{4}+6546750q^{5}+\cdots\)
2.20.a.b	$2$	$20$	2.a	1.a	$1$	$1$	$1$	$4.576$	\(\Q\)	None	✓	$1$	$1$	\(512\)	\(-53028\)	\(-5556930\)	\(-44496424\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{9}q^{2}-53028q^{3}+2^{18}q^{4}-5556930q^{5}+\cdots\)

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