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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1743.1.f.a	$1743$	$1$	1743.f	1743.f	$2$	$1$	$1$	$0.870$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1743}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(1\)	$1$		\(q-q^{2}-q^{3}+q^{6}+q^{7}+q^{8}+q^{9}+\cdots\)
1743.1.f.b	$1743$	$1$	1743.f	1743.f	$2$	$1$	$1$	$0.870$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1743}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(0\)	\(1\)	$1$		\(q-q^{2}+q^{3}-q^{6}+q^{7}+q^{8}+q^{9}+\cdots\)
1743.1.f.c	$1743$	$1$	1743.f	1743.f	$2$	$1$	$1$	$0.870$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-83}) \), \(\Q(\sqrt{-1743}) \)	\(\Q(\sqrt{21}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q-q^{3}-q^{4}-q^{7}+q^{9}+q^{12}+q^{16}+\cdots\)
1743.1.f.d	$1743$	$1$	1743.f	1743.f	$2$	$1$	$1$	$0.870$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-83}) \), \(\Q(\sqrt{-1743}) \)	\(\Q(\sqrt{21}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(-1\)	$1$		\(q+q^{3}-q^{4}-q^{7}+q^{9}-q^{12}+q^{16}+\cdots\)
1743.1.f.e	$1743$	$1$	1743.f	1743.f	$2$	$1$	$1$	$0.870$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1743}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(0\)	\(1\)	$1$		\(q+q^{2}-q^{3}-q^{6}+q^{7}-q^{8}+q^{9}+\cdots\)
1743.1.f.f	$1743$	$1$	1743.f	1743.f	$2$	$1$	$1$	$0.870$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1743}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(0\)	\(1\)	$1$		\(q+q^{2}+q^{3}+q^{6}+q^{7}-q^{8}+q^{9}+\cdots\)
1743.1.f.g	$1743$	$1$	1743.f	1743.f	$2$	$2$	$2$	$0.870$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-1743}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(-2\)	$1$		\(q-\beta q^{2}-q^{3}+2q^{4}+\beta q^{6}-q^{7}-\beta q^{8}+\cdots\)
1743.1.f.j	$1743$	$1$	1743.f	1743.f	$2$	$2$	$2$	$0.870$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-1743}) \)	None	✓	$4$	$0$	\(0\)	\(2\)	\(0\)	\(-2\)	$1$		\(q-\beta q^{2}+q^{3}+2q^{4}-\beta q^{6}-q^{7}-\beta q^{8}+\cdots\)