↑

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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
14.8.a.a	$14$	$8$	14.a	1.a	$1$	$1$	$1$	$4.373$	\(\Q\)	None	✓	$1$	$0$	\(-8\)	\(-82\)	\(448\)	\(-343\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-8q^{2}-82q^{3}+2^{6}q^{4}+448q^{5}+\cdots\)
14.8.a.c	$14$	$8$	14.a	1.a	$1$	$2$	$2$	$4.373$	\(\Q(\sqrt{1969}) \)	None	✓	$1$	$0$	\(16\)	\(70\)	\(126\)	\(686\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+8q^{2}+(35-\beta )q^{3}+2^{6}q^{4}+(63+9\beta )q^{5}+\cdots\)

Download displayed columns for results to