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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1271.1.d.a	$1271$	$1$	1271.d	1271.d	$2$	$1$	$1$	$0.634$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-1271}) \)	\(\Q(\sqrt{41}) \)	✓	$4$	$0$	\(-2\)	\(0\)	\(2\)	\(0\)	$1$		\(q-2q^{2}+3q^{4}+2q^{5}-4q^{8}-q^{9}+\cdots\)
1271.1.d.b	$1271$	$1$	1271.d	1271.d	$2$	$2$	$2$	$0.634$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-1271}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q-\beta q^{2}+(-1+\beta )q^{3}+\beta q^{4}-\beta q^{5}+\cdots\)
1271.1.d.c	$1271$	$1$	1271.d	1271.d	$2$	$2$	$2$	$0.634$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-1271}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(-1\)	\(0\)	$1$		\(q-\beta q^{2}+(1-\beta )q^{3}+\beta q^{4}-\beta q^{5}+q^{6}+\cdots\)
1271.1.d.d	$1271$	$1$	1271.d	1271.d	$2$	$2$	$2$	$0.634$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-1271}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)	$1$		\(q-\beta q^{3}-q^{4}-2q^{5}+q^{9}-\beta q^{11}+\cdots\)
1271.1.d.f	$1271$	$1$	1271.d	1271.d	$2$	$4$	$4$	$0.634$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-1271}) \)	None	✓	$4$	$0$	\(2\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+(1+\beta _{2})q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}+\cdots\)
1271.1.d.g	$1271$	$1$	1271.d	1271.d	$2$	$8$	$8$	$0.634$	\(\Q(\zeta_{40})^+\)	$D_{20}$	\(\Q(\sqrt{-1271}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(4\)	\(0\)	$1$		\(q+\beta _{2}q^{2}+\beta _{7}q^{3}+(2+\beta _{4})q^{4}-\beta _{4}q^{5}+\cdots\)