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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3247.1.c.a	$3247$	$1$	3247.c	3247.c	$2$	$1$	$1$	$1.620$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-191}) \), \(\Q(\sqrt{-3247}) \)	\(\Q(\sqrt{17}) \)	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-2q^{2}+3q^{4}-4q^{8}+q^{9}+2q^{13}+\cdots\)
3247.1.c.b	$3247$	$1$	3247.c	3247.c	$2$	$2$	$2$	$1.620$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-3247}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{4}-\beta q^{7}+q^{9}-\beta q^{11}-2q^{13}+\cdots\)
3247.1.c.c	$3247$	$1$	3247.c	3247.c	$2$	$4$	$4$	$1.620$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-3247}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{2}q^{2}+q^{4}-\beta _{1}q^{7}+q^{9}+\beta _{1}q^{11}+\cdots\)
3247.1.c.d	$3247$	$1$	3247.c	3247.c	$2$	$8$	$8$	$1.620$	\(\Q(\zeta_{32})^+\)	$D_{16}$	\(\Q(\sqrt{-3247}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\beta _{2}q^{2}+(1+\beta _{4})q^{4}+\beta _{5}q^{7}+(\beta _{2}+\cdots)q^{8}+\cdots\)