↑

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
1799.1.d.a	$1799$	$1$	1799.d	1799.d	$2$	$2$	$2$	$0.898$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-1799}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(2\)	$1$		\(q+(-1+\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
1799.1.d.b	$1799$	$1$	1799.d	1799.d	$2$	$2$	$2$	$0.898$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-1799}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(1\)	\(-2\)	$1$		\(q+(-1+\beta )q^{2}+(1-\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
1799.1.d.c	$1799$	$1$	1799.d	1799.d	$2$	$10$	$10$	$0.898$	\(\Q(\zeta_{50})^+\)	$D_{25}$	\(\Q(\sqrt{-1799}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(10\)	$1$		\(q+(\beta _{1}-\beta _{4}-\beta _{6}+\beta _{9})q^{2}-\beta _{1}q^{3}+\cdots\)
1799.1.d.d	$1799$	$1$	1799.d	1799.d	$2$	$10$	$10$	$0.898$	\(\Q(\zeta_{50})^+\)	$D_{25}$	\(\Q(\sqrt{-1799}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-10\)	$1$		\(q+(\beta _{1}-\beta _{4}-\beta _{6}+\beta _{9})q^{2}+\beta _{1}q^{3}+\cdots\)

Download displayed columns for results to