Newform search results

Results (unique match)

 

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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2988.1.g.a	$2988$	$1$	2988.g	996.g	$2$	$4$	$4$	$1.491$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{83}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$		\(q-\zeta_{8}^{2}q^{2}-q^{4}+\zeta_{8}^{2}q^{8}+q^{16}+(-\zeta_{8}+\cdots)q^{17}+\cdots\)