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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3623.1.b.a	$3623$	$1$	3623.b	3623.b	$2$	$1$	$1$	$1.808$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3623}) \)	None	✓	$2$	$0$	\(2\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+2q^{2}-q^{3}+3q^{4}-2q^{6}+4q^{8}+\cdots\)
3623.1.b.b	$3623$	$1$	3623.b	3623.b	$2$	$2$	$2$	$1.808$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3623}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+(-1+\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
3623.1.b.c	$3623$	$1$	3623.b	3623.b	$2$	$3$	$3$	$1.808$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-3623}) \)	None	✓	$2$	$0$	\(-3\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}-\beta _{1}q^{3}+\beta _{1}q^{6}+q^{8}+(1+\beta _{2})q^{9}+\cdots\)
3623.1.b.d	$3623$	$1$	3623.b	3623.b	$2$	$4$	$4$	$1.808$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-3623}) \)	None	✓	$2$	$0$	\(-2\)	\(1\)	\(0\)	\(0\)	$1$		\(q+(-1-\beta _{3})q^{2}+\beta _{1}q^{3}+(1+\beta _{3})q^{4}+\cdots\)
3623.1.b.e	$3623$	$1$	3623.b	3623.b	$2$	$12$	$12$	$1.808$	\(\Q(\zeta_{45})^+\)	$D_{45}$	\(\Q(\sqrt{-3623}) \)	None	✓	$2$	$0$	\(3\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\beta _{3}q^{2}+\beta _{7}q^{3}+(1+\beta _{6})q^{4}+(\beta _{4}+\cdots)q^{6}+\cdots\)