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Results (6 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1007.1.d.a	$1007$	$1$	1007.d	1007.d	$2$	$1$	$1$	$0.503$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1007}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(2\)	$1$		\(q-q^{2}-q^{3}+q^{6}+2q^{7}+q^{8}-q^{11}+\cdots\)
1007.1.d.b	$1007$	$1$	1007.d	1007.d	$2$	$1$	$1$	$0.503$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1007}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(0\)	\(2\)	$1$		\(q+q^{2}+q^{3}+q^{6}+2q^{7}-q^{8}-q^{11}+\cdots\)
1007.1.d.c	$1007$	$1$	1007.d	1007.d	$2$	$2$	$2$	$0.503$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-1007}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q+(-1+\beta )q^{2}-\beta q^{3}+(1-\beta )q^{4}-q^{6}+\cdots\)
1007.1.d.d	$1007$	$1$	1007.d	1007.d	$2$	$2$	$2$	$0.503$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-1007}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(0\)	\(-1\)	$1$		\(q+(1-\beta )q^{2}+\beta q^{3}+(1-\beta )q^{4}-q^{6}+\cdots\)
1007.1.d.e	$1007$	$1$	1007.d	1007.d	$2$	$4$	$4$	$0.503$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-1007}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q-\beta _{1}q^{2}+(\beta _{2}+\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
1007.1.d.f	$1007$	$1$	1007.d	1007.d	$2$	$4$	$4$	$0.503$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-1007}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(0\)	\(-2\)	$1$		\(q+\beta _{1}q^{2}+(-\beta _{2}-\beta _{3})q^{3}+(1+\beta _{2}+\cdots)q^{4}+\cdots\)