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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
536.1.h.a	$536$	$1$	536.h	536.h	$2$	$3$	$3$	$0.267$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-134}) \)	None	✓	$2$	$0$	\(-3\)	\(1\)	\(1\)	\(0\)	$1$		\(q-q^{2}+\beta _{1}q^{3}+q^{4}+(1-\beta _{1}+\beta _{2})q^{5}+\cdots\)
536.1.h.b	$536$	$1$	536.h	536.h	$2$	$3$	$3$	$0.267$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-134}) \)	None	✓	$2$	$0$	\(3\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+q^{2}-\beta _{1}q^{3}+q^{4}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots\)
2144.1.h.a	$2144$	$1$	2144.h	536.h	$2$	$3$	$3$	$1.070$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-134}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(1\)	\(0\)	$1$		\(q+\beta _{2}q^{3}+\beta _{1}q^{5}+(\beta _{1}-\beta _{2})q^{9}+(-1+\cdots)q^{11}+\cdots\)
2144.1.h.b	$2144$	$1$	2144.h	536.h	$2$	$3$	$3$	$1.070$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-134}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(-1\)	\(0\)	$1$		\(q-\beta _{2}q^{3}-\beta _{1}q^{5}+(\beta _{1}-\beta _{2})q^{9}+(1+\cdots)q^{11}+\cdots\)
2680.1.h.e	$2680$	$1$	2680.h	2680.h	$2$	$2$	$2$	$1.337$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-335}) \), \(\Q(\sqrt{-134}) \)	\(\Q(\sqrt{10}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+iq^{2}-iq^{3}-q^{4}+iq^{5}+2q^{6}+\cdots\)
2680.1.h.g	$2680$	$1$	2680.h	2680.h	$2$	$12$	$12$	$1.337$	\(\Q(\zeta_{28})\)	$D_{14}$	\(\Q(\sqrt{-134}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{28}^{7}q^{2}+(\zeta_{28}^{3}+\zeta_{28}^{11})q^{3}-q^{4}+\cdots\)