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Results (6 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3687.1.d.a	$3687$	$1$	3687.d	3687.d	$2$	$1$	$1$	$1.840$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3687}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(0\)	\(-1\)	$1$		\(q-q^{2}+q^{3}-q^{6}-q^{7}+q^{8}+q^{9}+\cdots\)
3687.1.d.b	$3687$	$1$	3687.d	3687.d	$2$	$1$	$1$	$1.840$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3687}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q+q^{2}-q^{3}-q^{6}-q^{7}-q^{8}+q^{9}+\cdots\)
3687.1.d.c	$3687$	$1$	3687.d	3687.d	$2$	$3$	$3$	$1.840$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-3687}) \)	None	✓	$2$	$0$	\(-1\)	\(3\)	\(0\)	\(-1\)	$1$		\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
3687.1.d.d	$3687$	$1$	3687.d	3687.d	$2$	$3$	$3$	$1.840$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-3687}) \)	None	✓	$2$	$0$	\(1\)	\(-3\)	\(0\)	\(-1\)	$1$		\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
3687.1.d.e	$3687$	$1$	3687.d	3687.d	$2$	$6$	$6$	$1.840$	\(\Q(\zeta_{21})^+\)	$D_{21}$	\(\Q(\sqrt{-3687}) \)	None	✓	$2$	$0$	\(-1\)	\(-6\)	\(0\)	\(1\)	$1$		\(q+(-1+\beta _{1}-\beta _{3}+\beta _{5})q^{2}-q^{3}+(1+\cdots)q^{4}+\cdots\)
3687.1.d.f	$3687$	$1$	3687.d	3687.d	$2$	$6$	$6$	$1.840$	\(\Q(\zeta_{21})^+\)	$D_{21}$	\(\Q(\sqrt{-3687}) \)	None	✓	$2$	$0$	\(1\)	\(6\)	\(0\)	\(1\)	$1$		\(q+\beta _{4}q^{2}+q^{3}+(2-\beta _{1}+\beta _{3}-\beta _{5})q^{4}+\cdots\)