↑

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
3828.1.bk.a	$3828$	$1$	3828.bk	3828.ak	$10$	$4$	$1$	$1.910$	\(\Q(\zeta_{10})\)	$D_{10}$	\(\Q(\sqrt{-29}) \)	None		$4$	$0$	\(-1\)	\(1\)	\(5\)	\(0\)	$1$		\(q-\zeta_{10}q^{2}+\zeta_{10}q^{3}+\zeta_{10}^{2}q^{4}+(1+\cdots)q^{5}+\cdots\)
3828.1.bk.b	$3828$	$1$	3828.bk	3828.ak	$10$	$4$	$1$	$1.910$	\(\Q(\zeta_{10})\)	$D_{10}$	\(\Q(\sqrt{-29}) \)	None		$4$	$0$	\(-1\)	\(4\)	\(-5\)	\(0\)	$1$		\(q-\zeta_{10}q^{2}+q^{3}+\zeta_{10}^{2}q^{4}+(-1-\zeta_{10}^{3}+\cdots)q^{5}+\cdots\)
3828.1.bk.c	$3828$	$1$	3828.bk	3828.ak	$10$	$4$	$1$	$1.910$	\(\Q(\zeta_{10})\)	$D_{10}$	\(\Q(\sqrt{-29}) \)	None		$4$	$0$	\(1\)	\(-4\)	\(-5\)	\(0\)	$1$		\(q+\zeta_{10}q^{2}-q^{3}+\zeta_{10}^{2}q^{4}+(-1-\zeta_{10}^{3}+\cdots)q^{5}+\cdots\)
3828.1.bk.d	$3828$	$1$	3828.bk	3828.ak	$10$	$4$	$1$	$1.910$	\(\Q(\zeta_{10})\)	$D_{10}$	\(\Q(\sqrt{-29}) \)	None		$4$	$0$	\(1\)	\(-1\)	\(5\)	\(0\)	$1$		\(q+\zeta_{10}q^{2}-\zeta_{10}q^{3}+\zeta_{10}^{2}q^{4}+(1+\cdots)q^{5}+\cdots\)

Download displayed columns for results to