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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2008.1.bd.a	$2008$	$1$	2008.bd	2008.ad	$250$	$100$	$1$	$1.002$	\(\Q(\zeta_{250})\)	$D_{125}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{250}^{35}q^{2}+(\zeta_{250}^{14}-\zeta_{250}^{53})q^{3}+\cdots\)
2253.1.bb.a	$2253$	$1$	2253.bb	2253.ab	$250$	$100$	$1$	$1.124$	\(\Q(\zeta_{250})\)	$D_{125}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{250}^{62}q^{3}+\zeta_{250}^{84}q^{4}+(-\zeta_{250}^{27}+\cdots)q^{7}+\cdots\)
2500.1.t.a	$2500$	$1$	2500.t	2500.t	$250$	$100$	$1$	$1.248$	\(\Q(\zeta_{250})\)	$D_{125}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{250}^{81}q^{2}-\zeta_{250}^{37}q^{4}+\zeta_{250}^{58}q^{5}+\cdots\)
2761.1.cg.a	$2761$	$1$	2761.cg	2761.bg	$250$	$100$	$1$	$1.378$	\(\Q(\zeta_{250})\)	$D_{125}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{250}^{31}+\zeta_{250}^{60})q^{3}+\zeta_{250}^{110}q^{4}+\cdots\)