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Results (7 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1055.1.d.a	$1055$	$1$	1055.d	1055.d	$2$	$1$	$1$	$0.527$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1055}) \)	None	✓	$2$	$0$	\(-2\)	\(1\)	\(1\)	\(1\)	$1$		\(q-2q^{2}+q^{3}+3q^{4}+q^{5}-2q^{6}+q^{7}+\cdots\)
1055.1.d.b	$1055$	$1$	1055.d	1055.d	$2$	$1$	$1$	$0.527$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-211}) \), \(\Q(\sqrt{-1055}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{4}-q^{5}-q^{9}+2q^{11}+q^{16}+2q^{19}+\cdots\)
1055.1.d.c	$1055$	$1$	1055.d	1055.d	$2$	$1$	$1$	$0.527$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1055}) \)	None	✓	$2$	$0$	\(2\)	\(-1\)	\(1\)	\(-1\)	$1$		\(q+2q^{2}-q^{3}+3q^{4}+q^{5}-2q^{6}-q^{7}+\cdots\)
1055.1.d.d	$1055$	$1$	1055.d	1055.d	$2$	$2$	$2$	$0.527$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-1055}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\beta q^{3}-q^{4}-q^{5}-\beta q^{7}+2q^{9}-q^{11}+\cdots\)
1055.1.d.f	$1055$	$1$	1055.d	1055.d	$2$	$3$	$3$	$0.527$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-1055}) \)	None	✓	$2$	$0$	\(-3\)	\(0\)	\(3\)	\(0\)	$1$		\(q-q^{2}-\beta _{1}q^{3}+q^{5}+\beta _{1}q^{6}+\beta _{2}q^{7}+\cdots\)
1055.1.d.g	$1055$	$1$	1055.d	1055.d	$2$	$3$	$3$	$0.527$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-1055}) \)	None	✓	$2$	$0$	\(3\)	\(0\)	\(3\)	\(0\)	$1$		\(q+q^{2}+\beta _{1}q^{3}+q^{5}+\beta _{1}q^{6}-\beta _{2}q^{7}+\cdots\)
1055.1.d.h	$1055$	$1$	1055.d	1055.d	$2$	$6$	$6$	$0.527$	\(\Q(\zeta_{36})^+\)	$D_{18}$	\(\Q(\sqrt{-1055}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-6\)	\(0\)	$1$		\(q+\beta _{3}q^{2}-\beta _{1}q^{3}+2q^{4}-q^{5}+(-2\beta _{2}+\cdots)q^{6}+\cdots\)