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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3493.1.bc.a	$3493$	$1$	3493.bc	3493.ac	$498$	$164$	$1$	$1.743$	\(\Q(\zeta_{249})\)	$D_{249}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(2\)	\(0\)	\(0\)	\(1\)	$1$		\(q+(\zeta_{498}^{190}-\zeta_{498}^{215})q^{2}+(-\zeta_{498}^{131}+\cdots)q^{4}+\cdots\)
3841.1.l.b	$3841$	$1$	3841.l	3841.l	$166$	$164$	$2$	$1.917$	\(\Q(\zeta_{249})\)	$D_{249}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(2\)	\(2\)	\(0\)	\(0\)	$83$		\(q+(\zeta_{498}^{20}-\zeta_{498}^{151})q^{2}+(-\zeta_{498}^{19}+\cdots)q^{3}+\cdots\)
3988.1.u.a	$3988$	$1$	3988.u	3988.u	$498$	$164$	$1$	$1.990$	\(\Q(\zeta_{249})\)	$D_{249}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(2\)	\(0\)	$1$		\(q-\zeta_{498}^{93}q^{2}+\zeta_{498}^{186}q^{4}+(-\zeta_{498}^{193}+\cdots)q^{5}+\cdots\)
3992.1.ba.a	$3992$	$1$	3992.ba	3992.aa	$498$	$164$	$1$	$1.992$	\(\Q(\zeta_{249})\)	$D_{249}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(-2\)	\(2\)	\(0\)	\(0\)	$1$		\(q+\zeta_{498}^{168}q^{2}+(-\zeta_{498}^{59}+\zeta_{498}^{130}+\cdots)q^{3}+\cdots\)