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Results (9 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
731.1.c.a	$731$	$1$	731.c	731.c	$2$	$1$	$1$	$0.365$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-731}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(2\)	$1$		\(q-q^{3}+q^{4}-q^{5}+2q^{7}-q^{12}-q^{13}+\cdots\)
731.1.c.b	$731$	$1$	731.c	731.c	$2$	$1$	$1$	$0.365$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-43}) \), \(\Q(\sqrt{-731}) \)	\(\Q(\sqrt{17}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}-q^{9}+2q^{13}+q^{16}-q^{17}+\cdots\)
731.1.c.c	$731$	$1$	731.c	731.c	$2$	$1$	$1$	$0.365$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-731}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(1\)	\(-2\)	$1$		\(q+q^{3}+q^{4}+q^{5}-2q^{7}+q^{12}-q^{13}+\cdots\)
731.1.c.d	$731$	$1$	731.c	731.c	$2$	$2$	$2$	$0.365$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-731}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta q^{3}+q^{4}+\beta q^{5}+2q^{9}-\beta q^{12}+\cdots\)
2924.1.h.b	$2924$	$1$	2924.h	731.c	$2$	$3$	$3$	$1.459$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-731}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-3\)	$1$		\(q-\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{5}-q^{7}+(1+\beta _{2})q^{9}+\cdots\)
2924.1.h.c	$2924$	$1$	2924.h	731.c	$2$	$3$	$3$	$1.459$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-731}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(3\)	$1$		\(q+\beta _{1}q^{3}+(-\beta _{1}+\beta _{2})q^{5}+q^{7}+(1+\cdots)q^{9}+\cdots\)
2924.1.h.d	$2924$	$1$	2924.h	731.c	$2$	$6$	$6$	$1.459$	\(\Q(\zeta_{36})^+\)	$D_{18}$	\(\Q(\sqrt{-731}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{3}+(-\beta _{1}-\beta _{5})q^{5}+\beta _{3}q^{7}+\cdots\)
3655.1.f.e	$3655$	$1$	3655.f	3655.f	$2$	$4$	$4$	$1.824$	\(\Q(\zeta_{8})\)	$D_{4}$	\(\Q(\sqrt{-731}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{8}-\zeta_{8}^{3})q^{3}-q^{4}-\zeta_{8}q^{5}+(\zeta_{8}+\cdots)q^{7}+\cdots\)
3655.1.f.f	$3655$	$1$	3655.f	3655.f	$2$	$8$	$8$	$1.824$	\(\Q(\zeta_{24})\)	$D_{12}$	\(\Q(\sqrt{-731}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{24}^{5}+\zeta_{24}^{7})q^{3}-q^{4}-\zeta_{24}q^{5}+\cdots\)