↑

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	3	5	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
360.4.a.a	$360$	$4$	360.a	1.a	$1$	$1$	$1$	$21.241$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-5\)	\(-18\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}-18q^{7}-34q^{11}+12q^{13}+\cdots\)
360.4.a.g	$360$	$4$	360.a	1.a	$1$	$1$	$1$	$21.241$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-5\)	\(34\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}+34q^{7}+18q^{11}+12q^{13}+\cdots\)

Download displayed columns for results to