Newform search results

Results (16 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2504.1.ch.a	$2504$	$1$	2504.ch	2504.bh	$156$	$48$	$1$	$1.250$	\(\Q(\zeta_{156})\)	$D_{156}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{156}^{67}q^{2}+(\zeta_{156}^{3}+\zeta_{156}^{13})q^{3}+\cdots\)
2756.1.ct.a	$2756$	$1$	2756.ct	2756.bt	$156$	$48$	$1$	$1.375$	\(\Q(\zeta_{156})\)	$D_{156}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{156}^{43}q^{2}-\zeta_{156}^{8}q^{4}+(\zeta_{156}^{37}-\zeta_{156}^{53}+\cdots)q^{5}+\cdots\)
2756.1.cy.a	$2756$	$1$	2756.cy	2756.by	$156$	$48$	$1$	$1.375$	\(\Q(\zeta_{156})\)	$D_{156}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{156}^{62}q^{2}-\zeta_{156}^{46}q^{4}+(-\zeta_{156}^{34}+\cdots)q^{5}+\cdots\)
2811.1.bl.a	$2811$	$1$	2811.bl	2811.al	$156$	$48$	$1$	$1.403$	\(\Q(\zeta_{156})\)	$D_{156}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(2\)	\(0\)	\(-2\)	$1$		\(q+\zeta_{156}^{44}q^{3}-\zeta_{156}^{2}q^{4}+(-\zeta_{156}^{8}+\cdots)q^{7}+\cdots\)
3081.1.ed.a	$3081$	$1$	3081.ed	3081.dd	$156$	$48$	$1$	$1.538$	\(\Q(\zeta_{156})\)	$D_{156}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)	$1$		\(q+\zeta_{156}^{37}q^{3}-\zeta_{156}^{23}q^{4}+(-\zeta_{156}^{18}+\cdots)q^{7}+\cdots\)
3081.1.em.a	$3081$	$1$	3081.em	3081.dm	$156$	$48$	$1$	$1.538$	\(\Q(\zeta_{156})\)	$D_{156}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q+\zeta_{156}^{33}q^{3}-\zeta_{156}^{69}q^{4}+(\zeta_{156}^{41}+\cdots)q^{7}+\cdots\)
3140.1.cs.a	$3140$	$1$	3140.cs	3140.bs	$156$	$48$	$1$	$1.567$	\(\Q(\zeta_{156})\)	$D_{156}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(4\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\zeta_{156}^{36}q^{2}+\zeta_{156}^{72}q^{4}+\zeta_{156}^{74}q^{5}+\cdots\)
3140.1.cy.a	$3140$	$1$	3140.cy	3140.by	$156$	$48$	$1$	$1.567$	\(\Q(\zeta_{156})\)	$D_{156}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{156}^{27}q^{2}+\zeta_{156}^{54}q^{4}+\zeta_{156}^{41}q^{5}+\cdots\)
3297.1.eb.a	$3297$	$1$	3297.eb	3297.db	$156$	$48$	$1$	$1.645$	\(\Q(\zeta_{156})\)	$D_{156}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(4\)	\(0\)	\(-2\)	$1$		\(q-\zeta_{156}^{12}q^{3}+\zeta_{156}q^{4}-\zeta_{156}^{20}q^{7}+\cdots\)
3297.1.eg.a	$3297$	$1$	3297.eg	3297.dg	$156$	$48$	$1$	$1.645$	\(\Q(\zeta_{156})\)	$D_{156}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q+\zeta_{156}^{20}q^{3}+\zeta_{156}^{19}q^{4}+\zeta_{156}^{11}q^{7}+\cdots\)
3380.1.cs.a	$3380$	$1$	3380.cs	3380.bs	$156$	$48$	$1$	$1.687$	\(\Q(\zeta_{156})\)	$D_{156}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q-\zeta_{156}^{41}q^{2}-\zeta_{156}^{4}q^{4}-\zeta_{156}^{46}q^{5}+\cdots\)
3380.1.cz.a	$3380$	$1$	3380.cz	3380.bz	$156$	$48$	$1$	$1.687$	\(\Q(\zeta_{156})\)	$D_{156}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{156}^{46}q^{2}-\zeta_{156}^{14}q^{4}-\zeta_{156}^{43}q^{5}+\cdots\)
3443.1.bx.a	$3443$	$1$	3443.bx	3443.ax	$156$	$48$	$1$	$1.718$	\(\Q(\zeta_{156})\)	$D_{156}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+(\zeta_{156}^{27}+\zeta_{156}^{73})q^{3}+\zeta_{156}^{38}q^{4}+\cdots\)
3549.1.ea.a	$3549$	$1$	3549.ea	3549.da	$156$	$48$	$1$	$1.771$	\(\Q(\zeta_{156})\)	$D_{156}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q-\zeta_{156}^{3}q^{3}-\zeta_{156}^{77}q^{4}-\zeta_{156}^{34}q^{7}+\cdots\)
3549.1.ep.a	$3549$	$1$	3549.ep	3549.dp	$156$	$48$	$1$	$1.771$	\(\Q(\zeta_{156})\)	$D_{156}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{156}^{55}q^{3}-\zeta_{156}^{51}q^{4}+\zeta_{156}^{67}q^{7}+\cdots\)
3756.1.ce.a	$3756$	$1$	3756.ce	939.ad	$156$	$48$	$1$	$1.874$	\(\Q(\zeta_{156})\)	$D_{156}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(4\)	$1$		\(q+\zeta_{156}^{2}q^{3}+(-\zeta_{156}^{48}+\zeta_{156}^{75})q^{7}+\cdots\)