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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
939.1.c.a	$939$	$1$	939.c	939.c	$2$	$1$	$1$	$0.469$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-939}) \)	\(\Q(\sqrt{313}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{3}+q^{4}+q^{9}+q^{12}-2q^{13}+q^{16}+\cdots\)
939.1.c.b	$939$	$1$	939.c	939.c	$2$	$2$	$2$	$0.469$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-939}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{4}-\beta q^{5}+q^{9}-q^{12}+\beta q^{15}+\cdots\)
3756.1.g.a	$3756$	$1$	3756.g	939.c	$2$	$1$	$1$	$1.874$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-939}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(-1\)	\(0\)	$1$		\(q+q^{3}-q^{5}+q^{9}-q^{13}-q^{15}-q^{17}+\cdots\)
3756.1.g.b	$3756$	$1$	3756.g	939.c	$2$	$1$	$1$	$1.874$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-939}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(1\)	\(0\)	$1$		\(q+q^{3}+q^{5}+q^{9}-q^{13}+q^{15}+q^{17}+\cdots\)
3756.1.g.c	$3756$	$1$	3756.g	939.c	$2$	$2$	$2$	$1.874$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-939}) \)	None	✓	$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q+q^{3}-\beta q^{5}+q^{9}+q^{13}-\beta q^{15}+\cdots\)
3756.1.g.d	$3756$	$1$	3756.g	939.c	$2$	$4$	$4$	$1.874$	\(\Q(\zeta_{24})^+\)	$D_{12}$	\(\Q(\sqrt{-939}) \)	None	✓	$4$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)	$1$		\(q-q^{3}-\beta _{1}q^{5}+q^{9}-\beta _{2}q^{13}+\beta _{1}q^{15}+\cdots\)