↑

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 (4 matches)

Download displayed columns for results to

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	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	Image	CM	RM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
1940.1.f.a	$1940$	$1$	1940.f	1940.f	$2$	$2$	$2$	$0.968$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-485}) \)	None	✓	$2$	$0$	\(-2\)	\(1\)	\(-2\)	\(0\)	$1$		\(q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}-q^{8}+\cdots\)
1940.1.f.b	$1940$	$1$	1940.f	1940.f	$2$	$2$	$2$	$0.968$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-485}) \)	None	✓	$2$	$0$	\(-2\)	\(1\)	\(2\)	\(0\)	$1$		\(q-q^{2}+(1-\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
1940.1.f.c	$1940$	$1$	1940.f	1940.f	$2$	$2$	$2$	$0.968$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-485}) \)	None	✓	$2$	$0$	\(2\)	\(-1\)	\(-2\)	\(0\)	$1$		\(q+q^{2}+(-1+\beta )q^{3}+q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots\)
1940.1.f.d	$1940$	$1$	1940.f	1940.f	$2$	$2$	$2$	$0.968$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-485}) \)	None	✓	$2$	$0$	\(2\)	\(-1\)	\(2\)	\(0\)	$1$		\(q+q^{2}-\beta q^{3}+q^{4}+q^{5}-\beta q^{6}+q^{8}+\cdots\)

Download displayed columns for results to