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Results (5 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1319.1.b.a	$1319$	$1$	1319.b	1319.b	$2$	$1$	$1$	$0.658$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1319}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(2\)	$1$		\(q-q^{2}-q^{3}-q^{5}+q^{6}+2q^{7}+q^{8}+\cdots\)
1319.1.b.b	$1319$	$1$	1319.b	1319.b	$2$	$2$	$2$	$0.658$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-1319}) \)	None	✓	$2$	$0$	\(4\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q+2q^{2}+(-1+\beta )q^{3}+3q^{4}-\beta q^{5}+\cdots\)
1319.1.b.c	$1319$	$1$	1319.b	1319.b	$2$	$3$	$3$	$0.658$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-1319}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-3\)	$1$		\(q+(\beta _{1}-\beta _{2})q^{2}-\beta _{1}q^{3}+(1-\beta _{1})q^{4}+\cdots\)
1319.1.b.d	$1319$	$1$	1319.b	1319.b	$2$	$4$	$4$	$0.658$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-1319}) \)	None	✓	$2$	$0$	\(-4\)	\(1\)	\(1\)	\(-2\)	$1$		\(q-q^{2}+\beta _{1}q^{3}+\beta _{2}q^{5}-\beta _{1}q^{6}+(-1+\cdots)q^{7}+\cdots\)
1319.1.b.e	$1319$	$1$	1319.b	1319.b	$2$	$12$	$12$	$0.658$	\(\Q(\zeta_{45})^+\)	$D_{45}$	\(\Q(\sqrt{-1319}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(3\)	$1$		\(q+\beta _{9}q^{2}+\beta _{7}q^{3}+(1-\beta _{5}-\beta _{9})q^{4}+\cdots\)