↑

Learn more

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)

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					A-L signs				Fricke sign	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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	5	7	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7280.2.a.bs	$7280$	$2$	7280.a	1.a	$1$	$4$	$4$	$58.131$	4.4.23724.1	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-4\)	\(-4\)		$+$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-q^{5}-q^{7}+(1+\beta _{3})q^{9}+(-1+\cdots)q^{11}+\cdots\)
7280.2.a.bv	$7280$	$2$	7280.a	1.a	$1$	$4$	$4$	$58.131$	4.4.24197.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(-4\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-q^{5}-q^{7}+\beta _{2}q^{9}+(\beta _{2}-\beta _{3})q^{11}+\cdots\)

Download displayed columns for results to