↑

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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		17	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
17.8.a.a	$17$	$8$	17.a	1.a	$1$	$1$	$1$	$5.311$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(18\)	\(-10\)	\(-902\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+18q^{3}-124q^{4}-10q^{5}+\cdots\)
17.8.a.b	$17$	$8$	17.a	1.a	$1$	$3$	$3$	$5.311$	3.3.694349.1	None	✓	$1$	$1$	\(1\)	\(-86\)	\(-198\)	\(-1558\)		$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+(-28-\beta _{1}-2\beta _{2})q^{3}+(78+\cdots)q^{4}+\cdots\)

Download displayed columns for results to