Newform search results

Results (4 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3199.1.c.a	$3199$	$1$	3199.c	3199.c	$2$	$1$	$1$	$1.597$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-3199}) \)	\(\Q(\sqrt{457}) \)	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(1\)	$1$		\(q-2q^{2}+3q^{4}+q^{7}-4q^{8}+q^{9}-2q^{14}+\cdots\)
3199.1.c.b	$3199$	$1$	3199.c	3199.c	$2$	$2$	$2$	$1.597$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-3199}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q-q^{4}-\beta q^{5}+q^{7}+q^{9}-\beta q^{13}+q^{16}+\cdots\)
3199.1.c.c	$3199$	$1$	3199.c	3199.c	$2$	$4$	$4$	$1.597$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-3199}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(4\)	$1$		\(q-\beta _{2}q^{2}+q^{4}-\beta _{1}q^{5}+q^{7}+q^{9}+\cdots\)
3199.1.c.d	$3199$	$1$	3199.c	3199.c	$2$	$8$	$8$	$1.597$	\(\Q(\zeta_{32})^+\)	$D_{16}$	\(\Q(\sqrt{-3199}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-8\)	$1$		\(q+\beta _{2}q^{2}+(1+\beta _{4})q^{4}+\beta _{5}q^{5}-q^{7}+\cdots\)