↑

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
2020.1.bu.a	$2020$	$1$	2020.bu	2020.au	$50$	$20$	$1$	$1.008$	\(\Q(\zeta_{50})\)	$D_{25}$	\(\Q(\sqrt{-5}) \)	None		$4$	$0$	\(0\)	\(-5\)	\(0\)	\(-5\)	$1$		\(q-\zeta_{50}^{9}q^{2}+(-\zeta_{50}^{7}+\zeta_{50}^{10})q^{3}+\cdots\)
2020.1.bu.b	$2020$	$1$	2020.bu	2020.au	$50$	$20$	$1$	$1.008$	\(\Q(\zeta_{50})\)	$D_{25}$	\(\Q(\sqrt{-5}) \)	None		$4$	$0$	\(0\)	\(5\)	\(0\)	\(5\)	$1$		\(q+\zeta_{50}^{9}q^{2}+(\zeta_{50}^{7}-\zeta_{50}^{10})q^{3}+\zeta_{50}^{18}q^{4}+\cdots\)

Download displayed columns for results to