Newform search results

Results (12 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
959.1.v.a	$959$	$1$	959.v	959.v	$68$	$32$	$1$	$0.479$	\(\Q(\zeta_{68})\)	$D_{68}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{68}^{2}+\zeta_{68}^{20})q^{2}+(\zeta_{68}^{4}-\zeta_{68}^{6}+\cdots)q^{4}+\cdots\)
1096.1.z.a	$1096$	$1$	1096.z	1096.z	$68$	$32$	$1$	$0.547$	\(\Q(\zeta_{68})\)	$D_{68}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-\zeta_{68}^{13}q^{2}+(\zeta_{68}^{8}-\zeta_{68}^{15})q^{3}+\cdots\)
1156.1.o.a	$1156$	$1$	1156.o	1156.o	$68$	$32$	$1$	$0.577$	\(\Q(\zeta_{68})\)	$D_{68}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+\zeta_{68}^{15}q^{2}+\zeta_{68}^{30}q^{4}+(-\zeta_{68}^{12}+\cdots)q^{5}+\cdots\)
1227.1.v.a	$1227$	$1$	1227.v	1227.v	$68$	$32$	$1$	$0.612$	\(\Q(\zeta_{68})\)	$D_{68}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q-\zeta_{68}q^{3}-\zeta_{68}^{28}q^{4}+(\zeta_{68}^{18}-\zeta_{68}^{33}+\cdots)q^{7}+\cdots\)
1507.1.u.a	$1507$	$1$	1507.u	1507.u	$68$	$32$	$1$	$0.752$	\(\Q(\zeta_{68})\)	$D_{68}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(-2\)	\(-2\)	\(0\)	$1$		\(q+(\zeta_{68}^{8}-\zeta_{68}^{13})q^{3}+\zeta_{68}^{6}q^{4}+(\zeta_{68}+\cdots)q^{5}+\cdots\)
2055.1.bu.a	$2055$	$1$	2055.bu	2055.au	$68$	$64$	$2$	$1.026$	\(\Q(\zeta_{136})\)	$D_{68}$	\(\Q(\sqrt{-15}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{136}^{17}-\zeta_{136}^{67})q^{2}-\zeta_{136}^{11}q^{3}+\cdots\)
2192.1.bm.a	$2192$	$1$	2192.bm	548.m	$68$	$32$	$1$	$1.094$	\(\Q(\zeta_{68})\)	$D_{68}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+(-\zeta_{68}^{15}-\zeta_{68}^{26})q^{5}-\zeta_{68}q^{9}+\cdots\)
2312.1.be.a	$2312$	$1$	2312.be	2312.ae	$68$	$32$	$1$	$1.154$	\(\Q(\zeta_{68})\)	$D_{68}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q-\zeta_{68}^{13}q^{2}+(\zeta_{68}^{14}+\zeta_{68}^{23})q^{3}+\cdots\)
2603.1.bb.a	$2603$	$1$	2603.bb	2603.ab	$68$	$32$	$1$	$1.299$	\(\Q(\zeta_{68})\)	$D_{68}$	\(\Q(\sqrt{-19}) \)	None		$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q-\zeta_{68}^{4}q^{4}+(\zeta_{68}^{5}-\zeta_{68}^{8})q^{5}+(\zeta_{68}^{17}+\cdots)q^{7}+\cdots\)
2740.1.bs.a	$2740$	$1$	2740.bs	2740.as	$68$	$32$	$1$	$1.367$	\(\Q(\zeta_{68})\)	$D_{68}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{68}^{20}q^{2}-\zeta_{68}^{6}q^{4}+\zeta_{68}^{9}q^{5}+\cdots\)
2740.1.bs.b	$2740$	$1$	2740.bs	2740.as	$68$	$32$	$1$	$1.367$	\(\Q(\zeta_{68})\)	$D_{68}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(2\)	\(0\)	\(2\)	\(0\)	$1$		\(q-\zeta_{68}^{20}q^{2}-\zeta_{68}^{6}q^{4}+\zeta_{68}^{2}q^{5}+\cdots\)
3272.1.bs.a	$3272$	$1$	3272.bs	3272.as	$68$	$32$	$1$	$1.633$	\(\Q(\zeta_{68})\)	$D_{68}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{68}^{23}q^{2}+(\zeta_{68}^{14}+\zeta_{68}^{16})q^{3}+\cdots\)