↑

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	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
3316.1.c.a	$3316$	$1$	3316.c	3316.c	$2$	$5$	$5$	$1.655$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-829}) \)	None	✓	$2$	$0$	\(-5\)	\(0\)	\(-1\)	\(1\)	$1$		\(q-q^{2}+q^{4}+\beta _{4}q^{5}+(1-\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
3316.1.c.b	$3316$	$1$	3316.c	3316.c	$2$	$5$	$5$	$1.655$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-829}) \)	None	✓	$2$	$0$	\(5\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q+q^{2}+q^{4}+\beta _{4}q^{5}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)

Download displayed columns for results to