Newform search results

Results (18 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1477.1.ct.a	$1477$	$1$	1477.ct	1477.bt	$210$	$48$	$1$	$0.737$	\(\Q(\zeta_{210})\)	$D_{105}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(5\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+(-\zeta_{210}^{7}+\zeta_{210}^{94})q^{2}+(\zeta_{210}^{14}-\zeta_{210}^{83}+\cdots)q^{4}+\cdots\)
1633.1.t.b	$1633$	$1$	1633.t	1633.t	$70$	$48$	$2$	$0.815$	\(\Q(\zeta_{210})\)	$D_{105}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(-2\)	\(3\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{210}^{4}+\zeta_{210}^{32})q^{2}+(-\zeta_{210}^{25}+\zeta_{210}^{26}+\cdots)q^{3}+\cdots\)
1684.1.bs.a	$1684$	$1$	1684.bs	1684.as	$210$	$48$	$1$	$0.840$	\(\Q(\zeta_{210})\)	$D_{105}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(1\)	\(0\)	$1$		\(q-\zeta_{210}^{103}q^{2}-\zeta_{210}^{101}q^{4}+(-\zeta_{210}^{61}+\cdots)q^{5}+\cdots\)
1688.1.cg.a	$1688$	$1$	1688.cg	1688.bg	$210$	$48$	$1$	$0.842$	\(\Q(\zeta_{210})\)	$D_{105}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(-1\)	\(3\)	\(0\)	\(0\)	$1$		\(q-\zeta_{210}^{67}q^{2}+(-\zeta_{210}^{37}-\zeta_{210}^{55}+\cdots)q^{3}+\cdots\)
1893.1.bp.a	$1893$	$1$	1893.bp	1893.ap	$210$	$48$	$1$	$0.945$	\(\Q(\zeta_{210})\)	$D_{105}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(3\)	$1$		\(q-\zeta_{210}q^{3}-\zeta_{210}^{91}q^{4}+(\zeta_{210}^{50}+\zeta_{210}^{68}+\cdots)q^{7}+\cdots\)
2201.1.da.b	$2201$	$1$	2201.da	2201.ca	$70$	$48$	$2$	$1.098$	\(\Q(\zeta_{210})\)	$D_{105}$	\(\Q(\sqrt{-31}) \)	None		$4$	$0$	\(3\)	\(0\)	\(3\)	\(5\)	$1$		\(q+(-\zeta_{210}^{25}-\zeta_{210}^{41})q^{2}+(\zeta_{210}^{50}+\cdots)q^{4}+\cdots\)
2303.1.q.b	$2303$	$1$	2303.q	2303.q	$42$	$48$	$4$	$1.149$	\(\Q(\zeta_{210})\)	$D_{105}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(1\)	\(-2\)	\(0\)	\(-1\)	$1$		\(q+(-\zeta_{210}^{9}+\zeta_{210}^{16})q^{2}+(\zeta_{210}^{52}+\zeta_{210}^{58}+\cdots)q^{3}+\cdots\)
2532.1.cf.a	$2532$	$1$	2532.cf	633.ae	$210$	$48$	$1$	$1.264$	\(\Q(\zeta_{210})\)	$D_{105}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(6\)	$1$		\(q+\zeta_{210}^{68}q^{3}+(-\zeta_{210}^{93}+\zeta_{210}^{100}+\cdots)q^{7}+\cdots\)
2947.1.dz.a	$2947$	$1$	2947.dz	2947.cz	$210$	$48$	$1$	$1.471$	\(\Q(\zeta_{210})\)	$D_{105}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(3\)	\(0\)	\(0\)	\(2\)	$1$		\(q+(-\zeta_{210}^{73}-\zeta_{210}^{85})q^{2}+(-\zeta_{210}^{41}+\cdots)q^{4}+\cdots\)
3124.1.ds.a	$3124$	$1$	3124.ds	781.ap	$70$	$48$	$2$	$1.559$	\(\Q(\zeta_{210})\)	$D_{105}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(5\)	\(-2\)	\(0\)	$1$		\(q+(-\zeta_{210}^{47}-\zeta_{210}^{91})q^{3}+(\zeta_{210}^{32}+\cdots)q^{5}+\cdots\)
3165.1.di.a	$3165$	$1$	3165.di	3165.ci	$210$	$48$	$1$	$1.580$	\(\Q(\zeta_{210})\)	$D_{105}$	\(\Q(\sqrt{-15}) \)	None		$4$	$0$	\(-1\)	\(1\)	\(-2\)	\(0\)	$1$		\(q+(-\zeta_{210}^{96}+\zeta_{210}^{97})q^{2}-\zeta_{210}^{2}q^{3}+\cdots\)
3165.1.di.b	$3165$	$1$	3165.di	3165.ci	$210$	$48$	$1$	$1.580$	\(\Q(\zeta_{210})\)	$D_{105}$	\(\Q(\sqrt{-15}) \)	None		$4$	$0$	\(1\)	\(-1\)	\(2\)	\(0\)	$1$		\(q+(\zeta_{210}^{96}-\zeta_{210}^{97})q^{2}+\zeta_{210}^{2}q^{3}+\cdots\)
3311.1.gd.a	$3311$	$1$	3311.gd	3311.fd	$210$	$48$	$1$	$1.652$	\(\Q(\zeta_{210})\)	$D_{105}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(6\)	$1$		\(q+(\zeta_{210}^{2}+\zeta_{210}^{34})q^{2}+(\zeta_{210}^{4}+\zeta_{210}^{36}+\cdots)q^{4}+\cdots\)
3311.1.gd.b	$3311$	$1$	3311.gd	3311.fd	$210$	$48$	$1$	$1.652$	\(\Q(\zeta_{210})\)	$D_{105}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(6\)	$1$		\(q+(\zeta_{210}^{44}-\zeta_{210}^{97})q^{2}+(\zeta_{210}^{36}+\zeta_{210}^{88}+\cdots)q^{4}+\cdots\)
3784.1.em.a	$3784$	$1$	3784.em	3784.dm	$210$	$48$	$1$	$1.888$	\(\Q(\zeta_{210})\)	$D_{105}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(2\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-\zeta_{210}^{99}q^{2}+(-\zeta_{210}^{53}-\zeta_{210}^{71}+\cdots)q^{3}+\cdots\)
3784.1.em.b	$3784$	$1$	3784.em	3784.dm	$210$	$48$	$1$	$1.888$	\(\Q(\zeta_{210})\)	$D_{105}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(2\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-\zeta_{210}^{99}q^{2}+(\zeta_{210}^{8}-\zeta_{210}^{11})q^{3}+\cdots\)
3999.1.fm.a	$3999$	$1$	3999.fm	3999.em	$210$	$48$	$1$	$1.996$	\(\Q(\zeta_{210})\)	$D_{105}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(2\)	\(0\)	\(1\)	$1$		\(q-\zeta_{210}^{81}q^{3}+\zeta_{210}^{48}q^{4}+(-\zeta_{210}^{37}+\cdots)q^{7}+\cdots\)
3999.1.fp.a	$3999$	$1$	3999.fp	3999.ep	$210$	$48$	$1$	$1.996$	\(\Q(\zeta_{210})\)	$D_{105}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q+\zeta_{210}^{104}q^{3}+\zeta_{210}^{72}q^{4}+(-\zeta_{210}^{31}+\cdots)q^{7}+\cdots\)