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Results (3 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1619.1.b.a	$1619$	$1$	1619.b	1619.b	$2$	$1$	$1$	$0.808$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1619}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q-q^{3}+q^{4}-q^{5}+2q^{11}-q^{12}+q^{15}+\cdots\)
1619.1.b.b	$1619$	$1$	1619.b	1619.b	$2$	$2$	$2$	$0.808$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-1619}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+(-1+\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
1619.1.b.c	$1619$	$1$	1619.b	1619.b	$2$	$4$	$4$	$0.808$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-1619}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(1\)	\(0\)	$1$		\(q+\beta _{1}q^{3}+q^{4}+(1-\beta _{1}+\beta _{3})q^{5}+(1+\cdots)q^{9}+\cdots\)