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Results (4 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3976.1.f.a	$3976$	$1$	3976.f	3976.f	$2$	$1$	$1$	$1.984$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-994}) \)	\(\Q(\sqrt{142}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+q^{2}+q^{4}-q^{7}+q^{8}+q^{9}-q^{14}+\cdots\)
3976.1.f.b	$3976$	$1$	3976.f	3976.f	$2$	$1$	$1$	$1.984$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-994}) \)	\(\Q(\sqrt{142}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{2}+q^{4}+q^{7}+q^{8}+q^{9}+q^{14}+\cdots\)
3976.1.f.e	$3976$	$1$	3976.f	3976.f	$2$	$2$	$2$	$1.984$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{142}) \)		$4$	$0$	\(2\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+q^{2}+(-\zeta_{6}-\zeta_{6}^{2})q^{3}+q^{4}+(-\zeta_{6}+\cdots)q^{6}+\cdots\)
3976.1.f.f	$3976$	$1$	3976.f	3976.f	$2$	$2$	$2$	$1.984$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{142}) \)		$4$	$0$	\(2\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{2}+(-\zeta_{6}-\zeta_{6}^{2})q^{3}+q^{4}+(-\zeta_{6}+\cdots)q^{6}+\cdots\)