↑

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
703.1.d.a	$703$	$1$	703.d	703.d	$2$	$3$	$3$	$0.351$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-703}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{1}q^{7}+(-1+\cdots)q^{8}+\cdots\)
703.1.d.b	$703$	$1$	703.d	703.d	$2$	$3$	$3$	$0.351$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-703}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{1}q^{7}+(1+\beta _{2})q^{8}+\cdots\)

Download displayed columns for results to