↑

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	7	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
1386.4.a.t	$1386$	$4$	1386.a	1.a	$1$	$2$	$2$	$81.777$	\(\Q(\sqrt{89}) \)	None	✓	$1$	$0$	\(-4\)	\(0\)	\(17\)	\(14\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(9-\beta )q^{5}+7q^{7}-8q^{8}+\cdots\)
1386.4.a.bd	$1386$	$4$	1386.a	1.a	$1$	$3$	$3$	$81.777$	3.3.843032.1	None	✓	$1$	$0$	\(-6\)	\(0\)	\(-13\)	\(21\)		$+$	$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(-4-\beta _{1})q^{5}+7q^{7}+\cdots\)

Download displayed columns for results to