Newform search results

Results (17 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1496.1.cz.a	$1496$	$1$	1496.cz	1496.bz	$80$	$32$	$1$	$0.747$	\(\Q(\zeta_{80})\)	$D_{80}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{80}^{9}q^{2}+(-\zeta_{80}^{6}-\zeta_{80}^{13})q^{3}+\cdots\)
1496.1.cz.b	$1496$	$1$	1496.cz	1496.bz	$80$	$32$	$1$	$0.747$	\(\Q(\zeta_{80})\)	$D_{80}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{80}^{9}q^{2}+(\zeta_{80}^{21}-\zeta_{80}^{38})q^{3}+\cdots\)
1700.1.cm.a	$1700$	$1$	1700.cm	1700.bm	$80$	$32$	$1$	$0.848$	\(\Q(\zeta_{80})\)	$D_{80}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{80}^{23}q^{2}-\zeta_{80}^{6}q^{4}-\zeta_{80}^{9}q^{5}+\cdots\)
1700.1.ct.a	$1700$	$1$	1700.ct	1700.bt	$80$	$32$	$1$	$0.848$	\(\Q(\zeta_{80})\)	$D_{80}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{80}^{37}q^{2}-\zeta_{80}^{34}q^{4}-\zeta_{80}^{6}q^{5}+\cdots\)
2169.1.de.a	$2169$	$1$	2169.de	241.r	$80$	$32$	$1$	$1.082$	\(\Q(\zeta_{80})\)	$D_{80}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{80}^{30}q^{4}+(\zeta_{80}^{18}-\zeta_{80}^{19})q^{7}+\cdots\)
2397.1.t.c	$2397$	$1$	2397.t	2397.t	$16$	$32$	$4$	$1.196$	\(\Q(\zeta_{80})\)	$D_{80}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{80}^{13}+\zeta_{80}^{17})q^{2}-\zeta_{80}^{9}q^{3}+\cdots\)
2397.1.t.d	$2397$	$1$	2397.t	2397.t	$16$	$32$	$4$	$1.196$	\(\Q(\zeta_{80})\)	$D_{80}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(0\)	\(8\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{80}^{13}+\zeta_{80}^{17})q^{2}-\zeta_{80}^{16}q^{3}+\cdots\)
2564.1.w.a	$2564$	$1$	2564.w	2564.w	$80$	$32$	$1$	$1.280$	\(\Q(\zeta_{80})\)	$D_{80}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{80}^{5}q^{2}+\zeta_{80}^{10}q^{4}+(\zeta_{80}^{3}+\zeta_{80}^{7}+\cdots)q^{5}+\cdots\)
2788.1.ed.a	$2788$	$1$	2788.ed	2788.dd	$80$	$32$	$1$	$1.391$	\(\Q(\zeta_{80})\)	$D_{80}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{80}^{11}q^{2}+\zeta_{80}^{22}q^{4}+(\zeta_{80}^{23}+\cdots)q^{5}+\cdots\)
2788.1.ef.a	$2788$	$1$	2788.ef	2788.df	$80$	$32$	$1$	$1.391$	\(\Q(\zeta_{80})\)	$D_{80}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(8\)	\(0\)	$1$		\(q+\zeta_{80}^{11}q^{2}+\zeta_{80}^{22}q^{4}+(\zeta_{80}^{8}+\zeta_{80}^{31}+\cdots)q^{5}+\cdots\)
2788.1.eh.a	$2788$	$1$	2788.eh	2788.dh	$80$	$32$	$1$	$1.391$	\(\Q(\zeta_{80})\)	$D_{80}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-8\)	\(0\)	$1$		\(q+\zeta_{80}^{37}q^{2}-\zeta_{80}^{34}q^{4}+(\zeta_{80}^{16}+\cdots)q^{5}+\cdots\)
2788.1.em.a	$2788$	$1$	2788.em	2788.dm	$80$	$32$	$1$	$1.391$	\(\Q(\zeta_{80})\)	$D_{80}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{80}^{7}q^{2}+\zeta_{80}^{14}q^{4}+(\zeta_{80}^{11}-\zeta_{80}^{12}+\cdots)q^{5}+\cdots\)
3008.1.t.b	$3008$	$1$	3008.t	3008.t	$16$	$32$	$4$	$1.501$	\(\Q(\zeta_{80})\)	$D_{80}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{80}^{6}q^{2}+(-\zeta_{80}^{22}-\zeta_{80}^{33})q^{3}+\cdots\)
3196.1.t.c	$3196$	$1$	3196.t	3196.t	$16$	$32$	$4$	$1.595$	\(\Q(\zeta_{80})\)	$D_{80}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(0\)	\(-8\)	\(0\)	\(0\)	$1$		\(q-\zeta_{80}^{31}q^{2}+(\zeta_{80}^{3}+\zeta_{80}^{32})q^{3}+\cdots\)
3196.1.t.d	$3196$	$1$	3196.t	3196.t	$16$	$32$	$4$	$1.595$	\(\Q(\zeta_{80})\)	$D_{80}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(0\)	\(8\)	\(0\)	\(0\)	$1$		\(q-\zeta_{80}^{31}q^{2}+(-\zeta_{80}^{7}+\zeta_{80}^{8})q^{3}+\cdots\)
3553.1.di.a	$3553$	$1$	3553.di	3553.ci	$80$	$32$	$1$	$1.773$	\(\Q(\zeta_{80})\)	$D_{80}$	\(\Q(\sqrt{-19}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{80}^{6}q^{4}+(\zeta_{80}^{21}+\zeta_{80}^{28})q^{5}+\cdots\)
3553.1.di.b	$3553$	$1$	3553.di	3553.ci	$80$	$32$	$1$	$1.773$	\(\Q(\zeta_{80})\)	$D_{80}$	\(\Q(\sqrt{-19}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{80}^{6}q^{4}+(-\zeta_{80}^{13}-\zeta_{80}^{36})q^{5}+\cdots\)