↑

Learn more

Refine search

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
		Only for weight 1:

				Sort order	Select

Results (displaying both matches)

Download displayed columns for results to

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
20.5.d.a	$20$	$5$	20.d	20.d	$2$	$1$	$1$	$2.067$	\(\Q\)	\(\Q(\sqrt{-5}) \)	✓	$2$	$0$	\(-4\)	\(2\)	\(25\)	\(82\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-4q^{2}+2q^{3}+2^{4}q^{4}+5^{2}q^{5}-8q^{6}+\cdots\)
20.5.d.b	$20$	$5$	20.d	20.d	$2$	$1$	$1$	$2.067$	\(\Q\)	\(\Q(\sqrt{-5}) \)	✓	$2$	$0$	\(4\)	\(-2\)	\(25\)	\(-82\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{2}-2q^{3}+2^{4}q^{4}+5^{2}q^{5}-8q^{6}+\cdots\)

Download displayed columns for results to