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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2687.1.b.a	$2687$	$1$	2687.b	2687.b	$2$	$1$	$1$	$1.341$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2687}) \)	None	✓	$2$	$0$	\(-1\)	\(2\)	\(0\)	\(-1\)	$1$		\(q-q^{2}+2q^{3}-2q^{6}-q^{7}+q^{8}+3q^{9}+\cdots\)
2687.1.b.c	$2687$	$1$	2687.b	2687.b	$2$	$8$	$8$	$1.341$	\(\Q(\zeta_{34})^+\)	$D_{17}$	\(\Q(\sqrt{-2687}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q+\beta _{6}q^{2}-\beta _{5}q^{3}+(1-\beta _{5})q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots\)
2687.1.b.d	$2687$	$1$	2687.b	2687.b	$2$	$16$	$16$	$1.341$	\(\Q(\zeta_{51})^+\)	$D_{51}$	\(\Q(\sqrt{-2687}) \)	None	✓	$2$	$0$	\(1\)	\(-2\)	\(0\)	\(1\)	$1$		\(q+(-\beta _{8}-\beta _{9})q^{2}-\beta _{15}q^{3}+(1+\beta _{1}+\cdots)q^{4}+\cdots\)