↑

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	31	97	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6014.2.a.c	$6014$	$2$	6014.a	1.a	$1$	$2$	$2$	$48.022$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(4\)	\(-4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2\beta q^{3}+q^{4}+(2+\beta )q^{5}-2\beta q^{6}+\cdots\)
6014.2.a.j	$6014$	$2$	6014.a	1.a	$1$	$32$	$32$	$48.022$		None	✓	$1$	$0$	\(-32\)	\(-2\)	\(0\)	\(5\)		$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$

Download displayed columns for results to