↑

Learn more

Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
33.6.a.b	$33$	$6$	33.a	1.a	$1$	$1$	$1$	$5.293$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(9\)	\(-92\)	\(-26\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+9q^{3}-31q^{4}-92q^{5}+9q^{6}+\cdots\)
33.6.a.c	$33$	$6$	33.a	1.a	$1$	$2$	$2$	$5.293$	\(\Q(\sqrt{177}) \)	None	✓	$1$	$1$	\(-5\)	\(-18\)	\(58\)	\(-286\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-2-\beta )q^{2}-9q^{3}+(2^{4}+5\beta )q^{4}+\cdots\)

Download displayed columns for results to