↑

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	5	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
140.6.a.c	$140$	$6$	140.a	1.a	$1$	$3$	$3$	$22.454$	3.3.3101016.1	None	✓	$1$	$0$	\(0\)	\(-10\)	\(-75\)	\(-147\)		$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-3-\beta _{1})q^{3}-5^{2}q^{5}-7^{2}q^{7}+(-23+\cdots)q^{9}+\cdots\)
140.6.a.d	$140$	$6$	140.a	1.a	$1$	$3$	$3$	$22.454$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(6\)	\(75\)	\(147\)		$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(2+\beta _{1})q^{3}+5^{2}q^{5}+7^{2}q^{7}+(94+\cdots)q^{9}+\cdots\)

Download displayed columns for results to