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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2955.1.c.e	$2955$	$1$	2955.c	2955.c	$2$	$2$	$2$	$1.475$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-591}) \)	\(\Q(\sqrt{985}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}+iq^{3}-3q^{4}-iq^{5}+2q^{6}+\cdots\)
2955.1.c.f	$2955$	$1$	2955.c	2955.c	$2$	$4$	$4$	$1.475$	\(\Q(\zeta_{12})\)	$D_{6}$	None	\(\Q(\sqrt{985}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{12}^{3}q^{2}-\zeta_{12}q^{3}-\zeta_{12}^{3}q^{5}-\zeta_{12}^{4}q^{6}+\cdots\)
3940.1.e.c	$3940$	$1$	3940.e	3940.e	$2$	$1$	$1$	$1.966$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-985}) \)	\(\Q(\sqrt{985}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(1\)	\(0\)	$1$		\(q-q^{2}+q^{4}+q^{5}-q^{8}+q^{9}-q^{10}+\cdots\)
3940.1.e.d	$3940$	$1$	3940.e	3940.e	$2$	$1$	$1$	$1.966$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-985}) \)	\(\Q(\sqrt{985}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{2}+q^{4}-q^{5}+q^{8}+q^{9}-q^{10}+\cdots\)
3940.1.e.h	$3940$	$1$	3940.e	3940.e	$2$	$2$	$2$	$1.966$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{985}) \)		$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+\zeta_{6}^{2}q^{2}+(\zeta_{6}+\zeta_{6}^{2})q^{3}-\zeta_{6}q^{4}+\cdots\)
3940.1.e.i	$3940$	$1$	3940.e	3940.e	$2$	$2$	$2$	$1.966$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{985}) \)		$4$	$0$	\(1\)	\(0\)	\(2\)	\(0\)	$1$		\(q-\zeta_{6}^{2}q^{2}+(-\zeta_{6}-\zeta_{6}^{2})q^{3}-\zeta_{6}q^{4}+\cdots\)