↑

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	53	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
159.2.a.a	$159$	$2$	159.a	1.a	$1$	$4$	$4$	$1.270$	4.4.1957.1	None	✓	$1$	$0$	\(3\)	\(4\)	\(2\)	\(-4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{2}+q^{3}+(1-\beta _{1}-\beta _{3})q^{4}+\cdots\)
159.2.a.b	$159$	$2$	159.a	1.a	$1$	$5$	$5$	$1.270$	5.5.1054013.1	None	✓	$1$	$0$	\(0\)	\(-5\)	\(0\)	\(4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}-\beta _{3})q^{2}-q^{3}+(2-\beta _{4})q^{4}+\cdots\)

Download displayed columns for results to