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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				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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
20.7.d.a	$20$	$7$	20.d	20.d	$2$	$1$	$1$	$4.601$	\(\Q\)	\(\Q(\sqrt{-5}) \)	✓	$2$	$0$	\(-8\)	\(-44\)	\(-125\)	\(524\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-8q^{2}-44q^{3}+2^{6}q^{4}-5^{3}q^{5}+352q^{6}+\cdots\)
20.7.d.b	$20$	$7$	20.d	20.d	$2$	$1$	$1$	$4.601$	\(\Q\)	\(\Q(\sqrt{-5}) \)	✓	$2$	$0$	\(8\)	\(44\)	\(-125\)	\(-524\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+8q^{2}+44q^{3}+2^{6}q^{4}-5^{3}q^{5}+352q^{6}+\cdots\)

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