↑

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
1001.1.y.c	$1001$	$1$	1001.y	1001.y	$6$	$8$	$4$	$0.500$	\(\Q(\zeta_{15})\)	$D_{15}$	\(\Q(\sqrt{-143}) \)	None		$4$	$0$	\(-1\)	\(-1\)	\(0\)	\(1\)	$1$		\(q+(\zeta_{30}^{4}+\zeta_{30}^{6})q^{2}+(\zeta_{30}^{6}+\zeta_{30}^{14}+\cdots)q^{3}+\cdots\)
1001.1.y.d	$1001$	$1$	1001.y	1001.y	$6$	$8$	$4$	$0.500$	\(\Q(\zeta_{15})\)	$D_{15}$	\(\Q(\sqrt{-143}) \)	None		$4$	$0$	\(1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q+(-\zeta_{30}^{4}-\zeta_{30}^{6})q^{2}+(\zeta_{30}^{6}+\zeta_{30}^{14}+\cdots)q^{3}+\cdots\)

Download displayed columns for results to