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Results (3 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2647.1.b.a	$2647$	$1$	2647.b	2647.b	$2$	$1$	$1$	$1.321$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2647}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{8}+q^{9}+2q^{11}-q^{16}-q^{18}+\cdots\)
2647.1.b.b	$2647$	$1$	2647.b	2647.b	$2$	$2$	$2$	$1.321$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-2647}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}-q^{8}+q^{9}+\cdots\)
2647.1.b.c	$2647$	$1$	2647.b	2647.b	$2$	$4$	$4$	$1.321$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-2647}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(\beta _{1}+\beta _{3})q^{8}+\cdots\)