Newform search results

Results (8 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
996.1.g.a	$996$	$1$	996.g	996.g	$2$	$1$	$1$	$0.497$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-249}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(1\)	\(0\)	$1$		\(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots\)
996.1.g.b	$996$	$1$	996.g	996.g	$2$	$1$	$1$	$0.497$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-249}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(1\)	\(0\)	$1$		\(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots\)
996.1.g.c	$996$	$1$	996.g	996.g	$2$	$1$	$1$	$0.497$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-249}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
996.1.g.d	$996$	$1$	996.g	996.g	$2$	$1$	$1$	$0.497$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-249}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(-1\)	\(0\)	$1$		\(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots\)
3984.1.l.a	$3984$	$1$	3984.l	996.g	$2$	$1$	$1$	$1.988$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-83}) \), \(\Q(\sqrt{-249}) \)	\(\Q(\sqrt{3}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{9}-2q^{11}+2q^{23}-q^{25}+\cdots\)
3984.1.l.b	$3984$	$1$	3984.l	996.g	$2$	$1$	$1$	$1.988$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-83}) \), \(\Q(\sqrt{-249}) \)	\(\Q(\sqrt{3}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{3}+q^{9}+2q^{11}-2q^{23}-q^{25}+\cdots\)
3984.1.l.c	$3984$	$1$	3984.l	996.g	$2$	$2$	$2$	$1.988$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-249}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-q^{3}-\beta q^{5}+q^{9}+q^{11}+\beta q^{15}+\cdots\)
3984.1.l.f	$3984$	$1$	3984.l	996.g	$2$	$2$	$2$	$1.988$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-249}) \)	None	✓	$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q+q^{3}-\beta q^{5}+q^{9}-q^{11}-\beta q^{15}+\cdots\)