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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3927.1.m.a	$3927$	$1$	3927.m	3927.m	$2$	$2$	$2$	$1.960$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3927}) \)	None	✓	$2$	$0$	\(-1\)	\(-2\)	\(0\)	\(-2\)	$1$		\(q+(-1+\beta )q^{2}-q^{3}+(1-\beta )q^{4}+(1+\cdots)q^{6}+\cdots\)
3927.1.m.b	$3927$	$1$	3927.m	3927.m	$2$	$2$	$2$	$1.960$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3927}) \)	None	✓	$2$	$0$	\(-1\)	\(-2\)	\(0\)	\(2\)	$1$		\(q+(-1+\beta )q^{2}-q^{3}+(1-\beta )q^{4}+(1+\cdots)q^{6}+\cdots\)
3927.1.m.c	$3927$	$1$	3927.m	3927.m	$2$	$2$	$2$	$1.960$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3927}) \)	None	✓	$2$	$0$	\(-1\)	\(2\)	\(0\)	\(-2\)	$1$		\(q+(-1+\beta )q^{2}+q^{3}+(1-\beta )q^{4}+(-1+\cdots)q^{6}+\cdots\)
3927.1.m.d	$3927$	$1$	3927.m	3927.m	$2$	$2$	$2$	$1.960$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3927}) \)	None	✓	$2$	$0$	\(-1\)	\(2\)	\(0\)	\(2\)	$1$		\(q-\beta q^{2}+q^{3}+\beta q^{4}-\beta q^{6}+q^{7}-q^{8}+\cdots\)
3927.1.m.e	$3927$	$1$	3927.m	3927.m	$2$	$2$	$2$	$1.960$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3927}) \)	None	✓	$2$	$0$	\(1\)	\(-2\)	\(0\)	\(-2\)	$1$		\(q+\beta q^{2}-q^{3}+\beta q^{4}-\beta q^{6}-q^{7}+q^{8}+\cdots\)
3927.1.m.f	$3927$	$1$	3927.m	3927.m	$2$	$2$	$2$	$1.960$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3927}) \)	None	✓	$2$	$0$	\(1\)	\(-2\)	\(0\)	\(2\)	$1$		\(q+(1-\beta )q^{2}-q^{3}+(1-\beta )q^{4}+(-1+\cdots)q^{6}+\cdots\)
3927.1.m.g	$3927$	$1$	3927.m	3927.m	$2$	$2$	$2$	$1.960$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3927}) \)	None	✓	$2$	$0$	\(1\)	\(2\)	\(0\)	\(-2\)	$1$		\(q+(1-\beta )q^{2}+q^{3}+(1-\beta )q^{4}+(1-\beta )q^{6}+\cdots\)
3927.1.m.h	$3927$	$1$	3927.m	3927.m	$2$	$2$	$2$	$1.960$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3927}) \)	None	✓	$2$	$0$	\(1\)	\(2\)	\(0\)	\(2\)	$1$		\(q+\beta q^{2}+q^{3}+\beta q^{4}+\beta q^{6}+q^{7}+q^{8}+\cdots\)