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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1223.1.b.a	$1223$	$1$	1223.b	1223.b	$2$	$2$	$2$	$0.610$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-1223}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q+(-1+\beta )q^{2}-\beta q^{3}+(1-\beta )q^{4}-q^{6}+\cdots\)
1223.1.b.b	$1223$	$1$	1223.b	1223.b	$2$	$3$	$3$	$0.610$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-1223}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q-\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}+(2+\beta _{2})q^{6}+\cdots\)
1223.1.b.c	$1223$	$1$	1223.b	1223.b	$2$	$12$	$12$	$0.610$	\(\Q(\zeta_{35})^+\)	$D_{35}$	\(\Q(\sqrt{-1223}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(0\)	\(1\)	$1$		\(q+\beta _{9}q^{2}+\beta _{2}q^{3}+(-\beta _{3}-\beta _{5}+\beta _{6}+\cdots)q^{4}+\cdots\)