Newform search results

Results (23 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
831.1.n.a	$831$	$1$	831.n	831.n	$46$	$22$	$1$	$0.415$	\(\Q(\zeta_{46})\)	$D_{46}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(2\)	$1$		\(q-\zeta_{46}^{18}q^{3}-\zeta_{46}^{12}q^{4}+(-\zeta_{46}^{16}+\cdots)q^{7}+\cdots\)
1251.1.w.a	$1251$	$1$	1251.w	139.f	$46$	$22$	$1$	$0.624$	\(\Q(\zeta_{46})\)	$D_{46}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-\zeta_{46}^{11}q^{4}+(\zeta_{46}^{8}-\zeta_{46}^{13})q^{7}+\cdots\)
1551.1.r.a	$1551$	$1$	1551.r	1551.r	$46$	$22$	$1$	$0.774$	\(\Q(\zeta_{46})\)	$D_{46}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(-2\)	\(0\)	$1$		\(q-\zeta_{46}^{15}q^{3}-\zeta_{46}^{22}q^{4}+(-\zeta_{46}^{5}+\cdots)q^{5}+\cdots\)
1551.1.r.b	$1551$	$1$	1551.r	1551.r	$46$	$22$	$1$	$0.774$	\(\Q(\zeta_{46})\)	$D_{46}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(2\)	\(0\)	$1$		\(q+\zeta_{46}^{12}q^{3}-\zeta_{46}^{22}q^{4}+(\zeta_{46}^{5}+\zeta_{46}^{9}+\cdots)q^{5}+\cdots\)
1833.1.z.c	$1833$	$1$	1833.z	1833.z	$46$	$44$	$2$	$0.915$	\(\Q(\zeta_{92})\)	$D_{46}$	\(\Q(\sqrt{-39}) \)	None		$8$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{92}^{5}-\zeta_{92}^{39})q^{2}-\zeta_{92}^{4}q^{3}+\cdots\)
1939.1.bh.a	$1939$	$1$	1939.bh	1939.ah	$46$	$22$	$1$	$0.968$	\(\Q(\zeta_{46})\)	$D_{46}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+(-\zeta_{46}^{2}+\zeta_{46}^{6})q^{2}+(\zeta_{46}^{4}-\zeta_{46}^{8}+\cdots)q^{4}+\cdots\)
2115.1.bf.a	$2115$	$1$	2115.bf	235.j	$46$	$22$	$1$	$1.056$	\(\Q(\zeta_{46})\)	$D_{46}$	\(\Q(\sqrt{-15}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+(\zeta_{46}^{14}+\zeta_{46}^{21})q^{2}+(-\zeta_{46}^{5}-\zeta_{46}^{12}+\cdots)q^{4}+\cdots\)
2115.1.bf.b	$2115$	$1$	2115.bf	235.j	$46$	$22$	$1$	$1.056$	\(\Q(\zeta_{46})\)	$D_{46}$	\(\Q(\sqrt{-15}) \)	None		$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+(-\zeta_{46}^{14}-\zeta_{46}^{21})q^{2}+(-\zeta_{46}^{5}+\cdots)q^{4}+\cdots\)
2487.1.t.a	$2487$	$1$	2487.t	2487.t	$46$	$22$	$1$	$1.241$	\(\Q(\zeta_{46})\)	$D_{46}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+\zeta_{46}^{15}q^{3}+\zeta_{46}^{21}q^{4}+(\zeta_{46}^{2}+\zeta_{46}^{9}+\cdots)q^{7}+\cdots\)
2585.1.ba.a	$2585$	$1$	2585.ba	2585.aa	$46$	$22$	$1$	$1.290$	\(\Q(\zeta_{46})\)	$D_{46}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+(-\zeta_{46}^{16}+\zeta_{46}^{20})q^{3}-\zeta_{46}^{14}q^{4}+\cdots\)
2585.1.ba.b	$2585$	$1$	2585.ba	2585.aa	$46$	$22$	$1$	$1.290$	\(\Q(\zeta_{46})\)	$D_{46}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+(\zeta_{46}^{16}-\zeta_{46}^{20})q^{3}-\zeta_{46}^{14}q^{4}+\cdots\)
2820.1.bc.a	$2820$	$1$	2820.bc	2820.ac	$46$	$44$	$2$	$1.407$	\(\Q(\zeta_{92})\)	$D_{46}$	\(\Q(\sqrt{-5}) \)	None		$8$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+\zeta_{92}^{29}q^{2}-\zeta_{92}q^{3}-\zeta_{92}^{12}q^{4}+\cdots\)
2820.1.bc.b	$2820$	$1$	2820.bc	2820.ac	$46$	$44$	$2$	$1.407$	\(\Q(\zeta_{92})\)	$D_{46}$	\(\Q(\sqrt{-15}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{92}q^{2}+\zeta_{92}^{35}q^{3}+\zeta_{92}^{2}q^{4}+\cdots\)
2820.1.bc.c	$2820$	$1$	2820.bc	2820.ac	$46$	$44$	$2$	$1.407$	\(\Q(\zeta_{92})\)	$D_{46}$	\(\Q(\sqrt{-15}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{92}q^{2}-\zeta_{92}^{41}q^{3}+\zeta_{92}^{2}q^{4}+\cdots\)
2820.1.bc.d	$2820$	$1$	2820.bc	2820.ac	$46$	$44$	$2$	$1.407$	\(\Q(\zeta_{92})\)	$D_{46}$	\(\Q(\sqrt{-5}) \)	None		$8$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+\zeta_{92}^{21}q^{2}-\zeta_{92}q^{3}+\zeta_{92}^{42}q^{4}+\cdots\)
2919.1.bp.a	$2919$	$1$	2919.bp	2919.ap	$46$	$22$	$1$	$1.457$	\(\Q(\zeta_{46})\)	$D_{46}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(1\)	$1$		\(q-\zeta_{46}^{9}q^{3}+\zeta_{46}q^{4}+\zeta_{46}^{7}q^{7}+\zeta_{46}^{18}q^{9}+\cdots\)
2919.1.bp.b	$2919$	$1$	2919.bp	2919.ap	$46$	$22$	$1$	$1.457$	\(\Q(\zeta_{46})\)	$D_{46}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(1\)	$1$		\(q+\zeta_{46}^{9}q^{3}+\zeta_{46}q^{4}-\zeta_{46}^{20}q^{7}+\cdots\)
3243.1.x.a	$3243$	$1$	3243.x	3243.x	$46$	$22$	$1$	$1.618$	\(\Q(\zeta_{46})\)	$D_{46}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{46}^{4}-\zeta_{46}^{13})q^{2}-\zeta_{46}^{10}q^{3}+\cdots\)
3243.1.x.b	$3243$	$1$	3243.x	3243.x	$46$	$22$	$1$	$1.618$	\(\Q(\zeta_{46})\)	$D_{46}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{46}^{4}+\zeta_{46}^{13})q^{2}-\zeta_{46}^{14}q^{3}+\cdots\)
3336.1.bm.a	$3336$	$1$	3336.bm	3336.am	$46$	$22$	$1$	$1.665$	\(\Q(\zeta_{46})\)	$D_{46}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(-1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+\zeta_{46}^{12}q^{2}+\zeta_{46}^{8}q^{3}-\zeta_{46}q^{4}+\cdots\)
3336.1.bm.b	$3336$	$1$	3336.bm	3336.am	$46$	$22$	$1$	$1.665$	\(\Q(\zeta_{46})\)	$D_{46}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(1\)	\(1\)	\(0\)	\(0\)	$1$		\(q-\zeta_{46}^{12}q^{2}-\zeta_{46}^{10}q^{3}-\zeta_{46}q^{4}+\cdots\)
3525.1.bg.a	$3525$	$1$	3525.bg	705.u	$92$	$88$	$2$	$1.759$	\(\Q(\zeta_{184})\)	$D_{46}$	\(\Q(\sqrt{-15}) \)	None		$16$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{184}^{33}+\zeta_{184}^{61})q^{2}+\zeta_{184}^{19}q^{3}+\cdots\)
3760.1.br.a	$3760$	$1$	3760.br	940.p	$46$	$44$	$2$	$1.876$	\(\Q(\zeta_{92})\)	$D_{46}$	\(\Q(\sqrt{-5}) \)	None		$8$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+(\zeta_{92}^{11}-\zeta_{92}^{27})q^{3}-\zeta_{92}^{32}q^{5}+\cdots\)