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Results (8 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
987.1.c.a	$987$	$1$	987.c	987.c	$2$	$1$	$1$	$0.493$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-47}) \), \(\Q(\sqrt{-987}) \)	\(\Q(\sqrt{21}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q-q^{3}+q^{4}-q^{7}+q^{9}-q^{12}+q^{16}+\cdots\)
987.1.c.b	$987$	$1$	987.c	987.c	$2$	$1$	$1$	$0.493$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-47}) \), \(\Q(\sqrt{-987}) \)	\(\Q(\sqrt{21}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(-1\)	$1$		\(q+q^{3}+q^{4}-q^{7}+q^{9}+q^{12}+q^{16}+\cdots\)
3948.1.i.a	$3948$	$1$	3948.i	987.c	$2$	$1$	$1$	$1.970$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-987}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(0\)	\(1\)	$1$		\(q-q^{3}+q^{7}+q^{9}-q^{11}-2q^{13}+q^{17}+\cdots\)
3948.1.i.b	$3948$	$1$	3948.i	987.c	$2$	$1$	$1$	$1.970$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-987}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(0\)	\(1\)	$1$		\(q-q^{3}+q^{7}+q^{9}+q^{11}+2q^{13}+q^{17}+\cdots\)
3948.1.i.c	$3948$	$1$	3948.i	987.c	$2$	$1$	$1$	$1.970$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-987}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(0\)	\(1\)	$1$		\(q+q^{3}+q^{7}+q^{9}-q^{11}+2q^{13}-q^{17}+\cdots\)
3948.1.i.d	$3948$	$1$	3948.i	987.c	$2$	$1$	$1$	$1.970$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-987}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(0\)	\(1\)	$1$		\(q+q^{3}+q^{7}+q^{9}+q^{11}-2q^{13}-q^{17}+\cdots\)
3948.1.i.e	$3948$	$1$	3948.i	987.c	$2$	$2$	$2$	$1.970$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-987}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(-2\)	$1$		\(q-q^{3}-q^{7}+q^{9}-\beta q^{11}-q^{17}-\beta q^{19}+\cdots\)
3948.1.i.f	$3948$	$1$	3948.i	987.c	$2$	$2$	$2$	$1.970$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-987}) \)	None	✓	$4$	$0$	\(0\)	\(2\)	\(0\)	\(-2\)	$1$		\(q+q^{3}-q^{7}+q^{9}-\beta q^{11}+q^{17}+\beta q^{19}+\cdots\)