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Results (4 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3007.1.b.a	$3007$	$1$	3007.b	3007.b	$2$	$1$	$1$	$1.501$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-3007}) \)	\(\Q(\sqrt{97}) \)	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-2q^{2}+3q^{4}-4q^{8}+q^{9}+5q^{16}+\cdots\)
3007.1.b.b	$3007$	$1$	3007.b	3007.b	$2$	$2$	$2$	$1.501$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3007}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}-q^{8}+q^{9}+\cdots\)
3007.1.b.c	$3007$	$1$	3007.b	3007.b	$2$	$2$	$2$	$1.501$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3007}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}-q^{8}+q^{9}+\cdots\)
3007.1.b.e	$3007$	$1$	3007.b	3007.b	$2$	$4$	$4$	$1.501$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-3007}) \)	None	✓	$4$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{2}q^{2}-\beta _{2}q^{4}+q^{8}+q^{9}-\beta _{1}q^{13}+\cdots\)