Newform search results

Results (7 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2947.1.eg.a	$2947$	$1$	2947.eg	2947.dg	$210$	$48$	$1$	$1.471$	\(\Q(\zeta_{210})\)	$D_{210}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(5\)	\(0\)	\(0\)	\(2\)	$1$		\(q+(-\zeta_{210}^{44}+\zeta_{210}^{80})q^{2}+(\zeta_{210}^{19}+\cdots)q^{4}+\cdots\)
3311.1.gb.a	$3311$	$1$	3311.gb	3311.fb	$210$	$48$	$1$	$1.652$	\(\Q(\zeta_{210})\)	$D_{210}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(6\)	$1$		\(q+(-\zeta_{210}^{43}-\zeta_{210}^{101})q^{2}+(-\zeta_{210}^{39}+\cdots)q^{4}+\cdots\)
3311.1.gb.b	$3311$	$1$	3311.gb	3311.fb	$210$	$48$	$1$	$1.652$	\(\Q(\zeta_{210})\)	$D_{210}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(2\)	\(0\)	\(0\)	\(-6\)	$1$		\(q+(\zeta_{210}-\zeta_{210}^{38})q^{2}+(\zeta_{210}^{2}-\zeta_{210}^{39}+\cdots)q^{4}+\cdots\)
3784.1.er.a	$3784$	$1$	3784.er	3784.dr	$210$	$48$	$1$	$1.888$	\(\Q(\zeta_{210})\)	$D_{210}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{210}^{93}q^{2}+(\zeta_{210}^{86}-\zeta_{210}^{92})q^{3}+\cdots\)
3784.1.er.b	$3784$	$1$	3784.er	3784.dr	$210$	$48$	$1$	$1.888$	\(\Q(\zeta_{210})\)	$D_{210}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{210}^{93}q^{2}+(\zeta_{210}^{2}+\zeta_{210}^{71})q^{3}+\cdots\)
3999.1.ft.a	$3999$	$1$	3999.ft	3999.et	$210$	$48$	$1$	$1.996$	\(\Q(\zeta_{210})\)	$D_{210}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q-\zeta_{210}^{62}q^{3}+\zeta_{210}^{51}q^{4}+(-\zeta_{210}^{73}+\cdots)q^{7}+\cdots\)
3999.1.fw.a	$3999$	$1$	3999.fw	3999.ew	$210$	$48$	$1$	$1.996$	\(\Q(\zeta_{210})\)	$D_{210}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(2\)	\(0\)	\(-3\)	$1$		\(q+\zeta_{210}^{36}q^{3}+\zeta_{210}^{33}q^{4}+(-\zeta_{210}^{24}+\cdots)q^{7}+\cdots\)