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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1679.1.ba.a	$1679$	$1$	1679.ba	1679.aa	$36$	$36$	$3$	$0.838$	\(\Q(\zeta_{108})\)	$D_{108}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{108}-\zeta_{108}^{5})q^{2}+(-\zeta_{108}^{28}+\zeta_{108}^{44}+\cdots)q^{3}+\cdots\)
1732.1.bh.a	$1732$	$1$	1732.bh	1732.ah	$108$	$36$	$1$	$0.864$	\(\Q(\zeta_{108})\)	$D_{108}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{108}^{21}q^{2}+\zeta_{108}^{42}q^{4}+(\zeta_{108}^{12}+\cdots)q^{5}+\cdots\)
2180.1.cr.a	$2180$	$1$	2180.cr	2180.br	$108$	$36$	$1$	$1.088$	\(\Q(\zeta_{108})\)	$D_{108}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{108}^{3}q^{2}+\zeta_{108}^{6}q^{4}-\zeta_{108}^{16}q^{5}+\cdots\)
2180.1.db.a	$2180$	$1$	2180.db	2180.cb	$108$	$36$	$1$	$1.088$	\(\Q(\zeta_{108})\)	$D_{108}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{108}^{30}q^{2}-\zeta_{108}^{6}q^{4}-\zeta_{108}^{28}q^{5}+\cdots\)
2289.1.eq.a	$2289$	$1$	2289.eq	2289.dq	$108$	$36$	$1$	$1.142$	\(\Q(\zeta_{108})\)	$D_{108}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{108}^{7}q^{3}-\zeta_{108}^{51}q^{4}-\zeta_{108}^{20}q^{7}+\cdots\)
2289.1.ew.a	$2289$	$1$	2289.ew	2289.dw	$108$	$36$	$1$	$1.142$	\(\Q(\zeta_{108})\)	$D_{108}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{108}q^{3}-\zeta_{108}^{33}q^{4}+\zeta_{108}^{6}q^{7}+\cdots\)
2943.1.fr.a	$2943$	$1$	2943.fr	109.l	$108$	$36$	$1$	$1.469$	\(\Q(\zeta_{108})\)	$D_{108}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{108}^{21}q^{4}+(\zeta_{108}^{12}-\zeta_{108}^{34})q^{7}+\cdots\)
2945.1.fg.a	$2945$	$1$	2945.fg	2945.eg	$36$	$36$	$3$	$1.470$	\(\Q(\zeta_{108})\)	$D_{108}$	\(\Q(\sqrt{-31}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{108}^{7}+\zeta_{108}^{8})q^{2}+(\zeta_{108}^{14}+\zeta_{108}^{15}+\cdots)q^{4}+\cdots\)
2945.1.fg.b	$2945$	$1$	2945.fg	2945.eg	$36$	$36$	$3$	$1.470$	\(\Q(\zeta_{108})\)	$D_{108}$	\(\Q(\sqrt{-31}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{108}^{7}+\zeta_{108}^{50})q^{2}+(-\zeta_{108}^{3}+\zeta_{108}^{14}+\cdots)q^{4}+\cdots\)
3052.1.ew.a	$3052$	$1$	3052.ew	3052.dw	$108$	$36$	$1$	$1.523$	\(\Q(\zeta_{108})\)	$D_{108}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{108}^{29}q^{2}-\zeta_{108}^{4}q^{4}-\zeta_{108}^{17}q^{7}+\cdots\)
3052.1.ew.b	$3052$	$1$	3052.ew	3052.dw	$108$	$36$	$1$	$1.523$	\(\Q(\zeta_{108})\)	$D_{108}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{108}^{10}q^{2}+\zeta_{108}^{20}q^{4}+\zeta_{108}^{17}q^{7}+\cdots\)
3464.1.co.a	$3464$	$1$	3464.co	3464.bo	$108$	$36$	$1$	$1.729$	\(\Q(\zeta_{108})\)	$D_{108}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{108}^{39}q^{2}+(\zeta_{108}^{12}+\zeta_{108}^{28})q^{3}+\cdots\)
3488.1.dq.a	$3488$	$1$	3488.dq	109.l	$108$	$36$	$1$	$1.741$	\(\Q(\zeta_{108})\)	$D_{108}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{108}^{35}-\zeta_{108}^{41})q^{5}-\zeta_{108}^{52}q^{9}+\cdots\)
3891.1.bh.a	$3891$	$1$	3891.bh	3891.ah	$108$	$36$	$1$	$1.942$	\(\Q(\zeta_{108})\)	$D_{108}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{108}^{16}q^{3}+\zeta_{108}^{22}q^{4}+(\zeta_{108}^{26}+\cdots)q^{7}+\cdots\)
3924.1.ex.a	$3924$	$1$	3924.ex	1308.au	$108$	$72$	$2$	$1.958$	\(\Q(\zeta_{216})\)	$D_{108}$	\(\Q(\sqrt{-1}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{216}^{33}q^{2}+\zeta_{216}^{66}q^{4}+(-\zeta_{216}^{65}+\cdots)q^{5}+\cdots\)
3924.1.ey.a	$3924$	$1$	3924.ey	109.l	$108$	$36$	$1$	$1.958$	\(\Q(\zeta_{108})\)	$D_{108}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{108}^{4}+\zeta_{108}^{48})q^{7}+(-\zeta_{108}^{32}-\zeta_{108}^{47}+\cdots)q^{13}+\cdots\)