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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1559.1.b.a	$1559$	$1$	1559.b	1559.b	$2$	$1$	$1$	$0.778$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1559}) \)	None	✓	$2$	$0$	\(2\)	\(-1\)	\(-1\)	\(2\)	$1$		\(q+2q^{2}-q^{3}+3q^{4}-q^{5}-2q^{6}+2q^{7}+\cdots\)
1559.1.b.b	$1559$	$1$	1559.b	1559.b	$2$	$8$	$8$	$0.778$	\(\Q(\zeta_{34})^+\)	$D_{17}$	\(\Q(\sqrt{-1559}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q+\beta _{4}q^{2}+\beta _{6}q^{3}+(\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{4}+\cdots\)
1559.1.b.c	$1559$	$1$	1559.b	1559.b	$2$	$16$	$16$	$0.778$	\(\Q(\zeta_{51})^+\)	$D_{51}$	\(\Q(\sqrt{-1559}) \)	None	✓	$2$	$0$	\(-2\)	\(1\)	\(1\)	\(-2\)	$1$		\(q+\beta _{6}q^{2}+(-\beta _{8}-\beta _{9})q^{3}+(1+\beta _{12}+\cdots)q^{4}+\cdots\)