↑

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	CM	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	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
15.5.d.a	$15$	$5$	15.d	15.d	$2$	$1$	$1$	$1.551$	\(\Q\)	\(\Q(\sqrt{-15}) \)	✓	$2$	$0$	\(-7\)	\(9\)	\(25\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-7q^{2}+9q^{3}+33q^{4}+5^{2}q^{5}-63q^{6}+\cdots\)
15.5.d.b	$15$	$5$	15.d	15.d	$2$	$1$	$1$	$1.551$	\(\Q\)	\(\Q(\sqrt{-15}) \)	✓	$2$	$0$	\(7\)	\(-9\)	\(-25\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+7q^{2}-9q^{3}+33q^{4}-5^{2}q^{5}-63q^{6}+\cdots\)

Download displayed columns for results to