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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2039.1.b.a	$2039$	$1$	2039.b	2039.b	$2$	$1$	$1$	$1.018$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2039}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q-q^{2}-q^{3}-q^{5}+q^{6}+q^{8}+q^{10}+\cdots\)
2039.1.b.b	$2039$	$1$	2039.b	2039.b	$2$	$2$	$2$	$1.018$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-2039}) \)	None	✓	$2$	$0$	\(4\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+2q^{2}+(-1+\beta )q^{3}+3q^{4}-\beta q^{5}+\cdots\)
2039.1.b.c	$2039$	$1$	2039.b	2039.b	$2$	$3$	$3$	$1.018$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-2039}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\beta _{2}q^{2}-\beta _{1}q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+\cdots\)
2039.1.b.d	$2039$	$1$	2039.b	2039.b	$2$	$4$	$4$	$1.018$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-2039}) \)	None	✓	$2$	$0$	\(-4\)	\(1\)	\(1\)	\(0\)	$1$		\(q-q^{2}+\beta _{1}q^{3}+(-\beta _{2}-\beta _{3})q^{5}-\beta _{1}q^{6}+\cdots\)
2039.1.b.e	$2039$	$1$	2039.b	2039.b	$2$	$12$	$12$	$1.018$	\(\Q(\zeta_{45})^+\)	$D_{45}$	\(\Q(\sqrt{-2039}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\beta _{5}q^{2}+\beta _{7}q^{3}+(1+\beta _{9})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)