Newform search results

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)

Results (4 matches)

 

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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	19
722.2.a.f	$722$	$2$	722.a	1.a	$1$	$1$	$1$	$5.765$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(3\)	\(2\)	\(-3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+3q^{3}+q^{4}+2q^{5}+3q^{6}-3q^{7}+\cdots\)
722.2.a.j	$722$	$2$	722.a	1.a	$1$	$2$	$2$	$5.765$	\(\Q(\sqrt{7}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(2\)	\(2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}+(1-\beta )q^{5}+\beta q^{6}+\cdots\)
722.2.a.l	$722$	$2$	722.a	1.a	$1$	$3$	$3$	$5.765$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$0$	\(3\)	\(0\)	\(6\)	\(6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{1}q^{3}+q^{4}+2q^{5}-\beta _{1}q^{6}+\cdots\)
722.2.a.n	$722$	$2$	722.a	1.a	$1$	$4$	$4$	$5.765$	\(\Q(\zeta_{20})^+\)	None	✓	$1$	$0$	\(4\)	\(2\)	\(-2\)	\(-2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1+\beta _{2}+\beta _{3})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots\)