↑

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 (3 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	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
64.4.a.a	$64$	$4$	64.a	1.a	$1$	$1$	$1$	$3.776$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-8\)	\(10\)	\(16\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-8q^{3}+10q^{5}+2^{4}q^{7}+37q^{9}+40q^{11}+\cdots\)
64.4.a.d	$64$	$4$	64.a	1.a	$1$	$1$	$1$	$3.776$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(4\)	\(2\)	\(24\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{3}+2q^{5}+24q^{7}-11q^{9}+44q^{11}+\cdots\)
64.4.a.e	$64$	$4$	64.a	1.a	$1$	$1$	$1$	$3.776$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(8\)	\(10\)	\(-16\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+8q^{3}+10q^{5}-2^{4}q^{7}+37q^{9}-40q^{11}+\cdots\)

Download displayed columns for results to