Newform search results

Results (5 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
971.1.b.a	$971$	$1$	971.b	971.b	$2$	$1$	$1$	$0.485$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-971}) \)	None	✓	$2$	$0$	\(0\)	\(2\)	\(-1\)	\(-1\)	$1$		\(q+2q^{3}+q^{4}-q^{5}-q^{7}+3q^{9}+2q^{12}+\cdots\)
971.1.b.b	$971$	$1$	971.b	971.b	$2$	$2$	$2$	$0.485$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-971}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q-\beta q^{3}+q^{4}+(-1+\beta )q^{5}-\beta q^{7}+\cdots\)
971.1.b.c	$971$	$1$	971.b	971.b	$2$	$4$	$4$	$0.485$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-971}) \)	None	✓	$2$	$0$	\(0\)	\(-2\)	\(1\)	\(1\)	$1$		\(q+\beta _{3}q^{3}+q^{4}+\beta _{1}q^{5}+(-\beta _{2}-\beta _{3})q^{7}+\cdots\)
3884.1.d.a	$3884$	$1$	3884.d	971.b	$2$	$3$	$3$	$1.938$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-971}) \)	None	✓	$2$	$0$	\(0\)	\(-3\)	\(0\)	\(0\)	$1$		\(q-q^{3}-\beta _{1}q^{5}+\beta _{2}q^{7}-\beta _{1}q^{13}+\beta _{1}q^{15}+\cdots\)
3884.1.d.b	$3884$	$1$	3884.d	971.b	$2$	$12$	$12$	$1.938$	\(\Q(\zeta_{45})^+\)	$D_{45}$	\(\Q(\sqrt{-971}) \)	None	✓	$2$	$0$	\(0\)	\(3\)	\(0\)	\(0\)	$1$		\(q+\beta _{6}q^{3}+\beta _{7}q^{5}+\beta _{4}q^{7}+(2-\beta _{3}+\cdots)q^{9}+\cdots\)