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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1999.1.b.a	$1999$	$1$	1999.b	1999.b	$2$	$1$	$1$	$0.998$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1999}) \)	None	✓	$2$	$0$	\(2\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+2q^{2}+3q^{4}-q^{5}+4q^{8}+q^{9}-2q^{10}+\cdots\)
1999.1.b.b	$1999$	$1$	1999.b	1999.b	$2$	$3$	$3$	$0.998$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-1999}) \)	None	✓	$2$	$0$	\(-3\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}-\beta _{1}q^{5}+q^{8}+q^{9}+\beta _{1}q^{10}+\cdots\)
1999.1.b.c	$1999$	$1$	1999.b	1999.b	$2$	$9$	$9$	$0.998$	\(\Q(\zeta_{54})^+\)	$D_{27}$	\(\Q(\sqrt{-1999}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\beta _{3}-\beta _{6})q^{2}+(1-\beta _{3})q^{4}-\beta _{1}q^{5}+\cdots\)