↑

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
3031.1.c.a	$3031$	$1$	3031.c	3031.c	$2$	$8$	$8$	$1.513$	\(\Q(\zeta_{34})^+\)	$D_{17}$	\(\Q(\sqrt{-3031}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(8\)	$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{6}q^{5}+q^{7}+\cdots\)
3031.1.c.b	$3031$	$1$	3031.c	3031.c	$2$	$8$	$8$	$1.513$	\(\Q(\zeta_{34})^+\)	$D_{17}$	\(\Q(\sqrt{-3031}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(1\)	\(-8\)	$1$		\(q+\beta _{6}q^{2}+(1-\beta _{5})q^{4}-\beta _{2}q^{5}-q^{7}+\cdots\)

Download displayed columns for results to