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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1253.1.j.a	$1253$	$1$	1253.j	1253.j	$178$	$88$	$1$	$0.625$	\(\Q(\zeta_{178})\)	$D_{89}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+(-\zeta_{178}^{13}+\zeta_{178}^{44})q^{2}+(\zeta_{178}^{26}+\cdots)q^{4}+\cdots\)
1432.1.l.a	$1432$	$1$	1432.l	1432.l	$178$	$88$	$1$	$0.715$	\(\Q(\zeta_{178})\)	$D_{89}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(-1\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-\zeta_{178}^{27}q^{2}+(\zeta_{178}^{60}+\zeta_{178}^{76})q^{3}+\cdots\)
1969.1.l.a	$1969$	$1$	1969.l	1969.l	$178$	$88$	$1$	$0.983$	\(\Q(\zeta_{178})\)	$D_{89}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(-2\)	\(-2\)	\(0\)	$1$		\(q+(\zeta_{178}^{36}+\zeta_{178}^{42})q^{3}-\zeta_{178}^{65}q^{4}+\cdots\)
3207.1.p.a	$3207$	$1$	3207.p	3207.p	$178$	$88$	$1$	$1.601$	\(\Q(\zeta_{178})\)	$D_{89}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q-\zeta_{178}^{65}q^{3}+\zeta_{178}^{46}q^{4}+(-\zeta_{178}^{45}+\cdots)q^{7}+\cdots\)