↑

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 to Pari/GP SageMath Magma Oscar

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	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
22.6.a.b	$22$	$6$	22.a	1.a	$1$	$1$	$1$	$3.528$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(1\)	\(-51\)	\(-166\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+q^{3}+2^{4}q^{4}-51q^{5}-4q^{6}+\cdots\)
22.6.a.c	$22$	$6$	22.a	1.a	$1$	$1$	$1$	$3.528$	\(\Q\)	None	✓	$1$	$1$	\(4\)	\(-29\)	\(-31\)	\(-230\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}-29q^{3}+2^{4}q^{4}-31q^{5}-116q^{6}+\cdots\)

Download to Pari/GP SageMath Magma Oscar