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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
863.1.b.a	$863$	$1$	863.b	863.b	$2$	$1$	$1$	$0.431$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-863}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{2}-q^{3}+q^{6}+q^{8}-q^{16}-q^{17}+\cdots\)
863.1.b.b	$863$	$1$	863.b	863.b	$2$	$3$	$3$	$0.431$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-863}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}+(2+\beta _{2})q^{6}+\cdots\)
863.1.b.c	$863$	$1$	863.b	863.b	$2$	$6$	$6$	$0.431$	\(\Q(\zeta_{21})^+\)	$D_{21}$	\(\Q(\sqrt{-863}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(0\)	\(0\)	$1$		\(q+\beta _{4}q^{2}+(-\beta _{3}-\beta _{4})q^{3}+(2-\beta _{1}+\cdots)q^{4}+\cdots\)