Newform search results

Results (displaying both matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1020.1.cl.a	$1020$	$1$	1020.cl	1020.bl	$16$	$16$	$2$	$0.509$	\(\Q(\zeta_{32})\)	$D_{16}$	\(\Q(\sqrt{-15}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{32}^{11}q^{2}-\zeta_{32}^{15}q^{3}-\zeta_{32}^{6}q^{4}+\cdots\)
1020.1.cl.b	$1020$	$1$	1020.cl	1020.bl	$16$	$16$	$2$	$0.509$	\(\Q(\zeta_{32})\)	$D_{16}$	\(\Q(\sqrt{-15}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{32}^{9}q^{2}-\zeta_{32}^{15}q^{3}-\zeta_{32}^{2}q^{4}+\cdots\)