Newform search results

Results (1-50 of 940 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
64.2.i.a	$64$	$2$	64.i	64.i	$16$	$56$	$7$	$0.511$		$_{}$	None	None		$2$	$0$	\(-8\)	\(-8\)	\(-8\)	\(-8\)		$\mathrm{SU}(2)[C_{16}]$
68.2.i.b	$68$	$2$	68.i	68.i	$16$	$48$	$6$	$0.543$		$_{}$	None	None		$4$	$0$	\(-8\)	\(0\)	\(-16\)	\(0\)		$\mathrm{SU}(2)[C_{16}]$
75.2.l.a	$75$	$2$	75.l	75.l	$20$	$64$	$8$	$0.599$		$_{}$	None	None		$4$	$0$	\(0\)	\(-10\)	\(0\)	\(-20\)		$\mathrm{SU}(2)[C_{20}]$
76.2.k.a	$76$	$2$	76.k	76.k	$18$	$48$	$8$	$0.607$		$_{}$	None	None		$4$	$0$	\(-6\)	\(0\)	\(-12\)	\(0\)		$\mathrm{SU}(2)[C_{18}]$
1349.1.t.b	$1349$	$1$	1349.t	1349.t	$18$	$36$	$6$	$0.673$	\(\Q(\zeta_{63})\)	$D_{63}$	\(\Q(\sqrt{-71}) \)	None		$4$	$0$	\(0\)	\(-6\)	\(3\)	\(0\)	$1$		\(q+(\zeta_{126}^{2}-\zeta_{126}^{5})q^{2}+(\zeta_{126}^{36}-\zeta_{126}^{55}+\cdots)q^{3}+\cdots\)
85.2.o.a	$85$	$2$	85.o	85.o	$16$	$56$	$7$	$0.679$		$_{}$	None	None		$2$	$0$	\(-8\)	\(-8\)	\(-8\)	\(-8\)		$\mathrm{SU}(2)[C_{16}]$
85.2.r.a	$85$	$2$	85.r	85.r	$16$	$56$	$7$	$0.679$		$_{}$	None	None		$2$	$0$	\(-8\)	\(-8\)	\(-8\)	\(-8\)		$\mathrm{SU}(2)[C_{16}]$
89.2.e.a	$89$	$2$	89.e	89.e	$11$	$60$	$6$	$0.711$		$_{}$	None	None		$2$	$0$	\(-7\)	\(-16\)	\(-1\)	\(-9\)		$\mathrm{SU}(2)[C_{11}]$
91.2.w.a	$91$	$2$	91.w	91.w	$12$	$28$	$7$	$0.727$		$_{}$	None	None		$2$	$0$	\(-2\)	\(0\)	\(-6\)	\(2\)		$\mathrm{SU}(2)[C_{12}]$
91.2.ba.a	$91$	$2$	91.ba	91.aa	$12$	$28$	$7$	$0.727$		$_{}$	None	None		$2$	$0$	\(-2\)	\(-6\)	\(-6\)	\(-6\)		$\mathrm{SU}(2)[C_{12}]$
91.2.bb.a	$91$	$2$	91.bb	91.ab	$12$	$32$	$8$	$0.727$		$_{}$	None	None		$4$	$0$	\(-2\)	\(-12\)	\(-6\)	\(-6\)		$\mathrm{SU}(2)[C_{12}]$
91.2.bc.a	$91$	$2$	91.bc	91.ac	$12$	$32$	$8$	$0.727$		$_{}$	None	None		$4$	$0$	\(-8\)	\(0\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{12}]$
95.2.l.c	$95$	$2$	95.l	95.l	$12$	$24$	$6$	$0.759$		$_{}$	None	None		$4$	$0$	\(0\)	\(6\)	\(-2\)	\(-12\)		$\mathrm{SU}(2)[C_{12}]$
95.2.p.a	$95$	$2$	95.p	95.p	$18$	$48$	$8$	$0.759$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(-6\)	\(0\)		$\mathrm{SU}(2)[C_{18}]$
97.2.g.b	$97$	$2$	97.g	97.g	$12$	$24$	$6$	$0.775$		$_{}$	None	None		$2$	$0$	\(0\)	\(6\)	\(4\)	\(-2\)		$\mathrm{SU}(2)[C_{12}]$
97.2.h.a	$97$	$2$	97.h	97.h	$16$	$56$	$7$	$0.775$		$_{}$	None	None		$2$	$0$	\(-8\)	\(0\)	\(-8\)	\(-8\)		$\mathrm{SU}(2)[C_{16}]$
99.2.m.b	$99$	$2$	99.m	99.m	$15$	$72$	$9$	$0.791$		$_{}$	None	None		$4$	$0$	\(-1\)	\(-12\)	\(-8\)	\(-2\)		$\mathrm{SU}(2)[C_{15}]$
103.2.e.a	$103$	$2$	103.e	103.e	$17$	$112$	$7$	$0.822$		$_{}$	None	None		$2$	$0$	\(-15\)	\(-11\)	\(-11\)	\(-5\)		$\mathrm{SU}(2)[C_{17}]$
105.2.u.a	$105$	$2$	105.u	35.k	$12$	$32$	$8$	$0.838$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(-12\)	\(8\)		$\mathrm{SU}(2)[C_{12}]$
109.2.h.a	$109$	$2$	109.h	109.h	$18$	$48$	$8$	$0.870$		$_{}$	None	None		$2$	$0$	\(-9\)	\(-6\)	\(-6\)	\(3\)		$\mathrm{SU}(2)[C_{18}]$
110.2.k.a	$110$	$2$	110.k	55.l	$20$	$48$	$6$	$0.878$		$_{}$	None	None		$4$	$0$	\(0\)	\(-4\)	\(-8\)	\(-20\)		$\mathrm{SU}(2)[C_{20}]$
111.2.m.a	$111$	$2$	111.m	111.m	$12$	$40$	$10$	$0.886$		$_{}$	None	None		$4$	$0$	\(0\)	\(-6\)	\(0\)	\(-4\)		$\mathrm{SU}(2)[C_{12}]$
113.2.f.a	$113$	$2$	113.f	113.f	$14$	$48$	$8$	$0.902$		$_{}$	None	None		$2$	$0$	\(2\)	\(-7\)	\(-7\)	\(-3\)		$\mathrm{SU}(2)[C_{14}]$
119.2.n.b	$119$	$2$	119.n	119.n	$12$	$32$	$8$	$0.950$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(-8\)	\(-6\)		$\mathrm{SU}(2)[C_{12}]$
119.2.p.a	$119$	$2$	119.p	119.p	$16$	$80$	$10$	$0.950$		$_{}$	None	None		$4$	$0$	\(-16\)	\(0\)	\(0\)	\(-8\)		$\mathrm{SU}(2)[C_{16}]$
35.3.l.a	$35$	$3$	35.l	35.l	$12$	$24$	$6$	$0.954$		$_{}$	None	None		$4$	$0$	\(-2\)	\(-2\)	\(-4\)	\(-6\)		$\mathrm{SU}(2)[C_{12}]$
1917.1.s.b	$1917$	$1$	1917.s	1917.s	$18$	$36$	$6$	$0.957$	\(\Q(\zeta_{63})\)	$D_{63}$	\(\Q(\sqrt{-71}) \)	None		$4$	$0$	\(-6\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{126}^{5}-\zeta_{126}^{9})q^{2}+\zeta_{126}^{8}q^{3}+\cdots\)
121.2.e.a	$121$	$2$	121.e	121.e	$11$	$100$	$10$	$0.966$		$_{}$	None	None		$2$	$0$	\(-6\)	\(-18\)	\(-7\)	\(-1\)		$\mathrm{SU}(2)[C_{11}]$
123.2.n.a	$123$	$2$	123.n	41.g	$20$	$48$	$6$	$0.982$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{20}]$
37.3.g.a	$37$	$3$	37.g	37.g	$12$	$24$	$6$	$1.008$		$_{}$	None	None		$2$	$0$	\(0\)	\(-6\)	\(-18\)	\(-2\)		$\mathrm{SU}(2)[C_{12}]$
2059.1.x.a	$2059$	$1$	2059.x	2059.x	$14$	$42$	$7$	$1.028$	\(\Q(\zeta_{98})\)	$D_{49}$	\(\Q(\sqrt{-71}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{98}+\zeta_{98}^{6})q^{2}+(-\zeta_{98}^{11}+\zeta_{98}^{24}+\cdots)q^{3}+\cdots\)
2059.1.bh.a	$2059$	$1$	2059.bh	2059.ah	$14$	$42$	$7$	$1.028$	\(\Q(\zeta_{98})\)	$D_{98}$	\(\Q(\sqrt{-71}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{98}+\zeta_{98}^{6})q^{2}+(-\zeta_{98}^{11}-\zeta_{98}^{24}+\cdots)q^{3}+\cdots\)
131.2.e.a	$131$	$2$	131.e	131.e	$13$	$120$	$10$	$1.046$		$_{}$	None	None		$2$	$0$	\(-10\)	\(-9\)	\(-9\)	\(-5\)		$\mathrm{SU}(2)[C_{13}]$
137.2.e.a	$137$	$2$	137.e	137.e	$17$	$160$	$10$	$1.094$		$_{}$	None	None		$2$	$0$	\(-11\)	\(-11\)	\(-7\)	\(-28\)		$\mathrm{SU}(2)[C_{17}]$
145.2.m.b	$145$	$2$	145.m	29.e	$14$	$36$	$6$	$1.158$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-6\)	\(0\)		$\mathrm{SU}(2)[C_{14}]$
43.3.f.a	$43$	$3$	43.f	43.f	$14$	$42$	$7$	$1.172$		$_{}$	None	None		$2$	$0$	\(-7\)	\(-7\)	\(-7\)	\(0\)		$\mathrm{SU}(2)[C_{14}]$
150.2.l.a	$150$	$2$	150.l	75.l	$20$	$80$	$10$	$1.198$		$_{}$	None	None		$4$	$0$	\(0\)	\(4\)	\(0\)	\(4\)		$\mathrm{SU}(2)[C_{20}]$
45.3.k.a	$45$	$3$	45.k	45.k	$12$	$40$	$10$	$1.226$		$_{}$	None	None		$4$	$0$	\(-2\)	\(-6\)	\(-2\)	\(-2\)		$\mathrm{SU}(2)[C_{12}]$
156.2.w.c	$156$	$2$	156.w	52.l	$12$	$24$	$6$	$1.246$		$_{}$	None	None		$2$	$0$	\(-4\)	\(0\)	\(2\)	\(-2\)		$\mathrm{SU}(2)[C_{12}]$
156.2.w.d	$156$	$2$	156.w	52.l	$12$	$24$	$6$	$1.246$		$_{}$	None	None		$2$	$0$	\(-2\)	\(0\)	\(2\)	\(2\)		$\mathrm{SU}(2)[C_{12}]$
161.2.i.b	$161$	$2$	161.i	23.c	$11$	$70$	$7$	$1.286$		$_{}$	None	None		$2$	$0$	\(-4\)	\(-4\)	\(7\)	\(-7\)		$\mathrm{SU}(2)[C_{11}]$
2627.1.x.b	$2627$	$1$	2627.x	2627.x	$18$	$36$	$6$	$1.311$	\(\Q(\zeta_{63})\)	$D_{126}$	\(\Q(\sqrt{-71}) \)	None		$4$	$0$	\(0\)	\(6\)	\(3\)	\(0\)	$1$		\(q+(-\zeta_{126}^{13}-\zeta_{126}^{22})q^{2}+(-\zeta_{126}^{10}+\cdots)q^{3}+\cdots\)
2627.1.y.b	$2627$	$1$	2627.y	2627.y	$18$	$36$	$6$	$1.311$	\(\Q(\zeta_{63})\)	$D_{63}$	\(\Q(\sqrt{-71}) \)	None		$4$	$0$	\(0\)	\(-6\)	\(3\)	\(0\)	$1$		\(q+(-\zeta_{126}^{11}+\zeta_{126}^{38})q^{2}+(-\zeta_{126}^{5}+\cdots)q^{3}+\cdots\)
49.3.f.a	$49$	$3$	49.f	49.f	$14$	$54$	$9$	$1.335$		$_{}$	None	None		$2$	$0$	\(-5\)	\(-7\)	\(-7\)	\(0\)		$\mathrm{SU}(2)[C_{14}]$
171.2.y.a	$171$	$2$	171.y	57.j	$18$	$36$	$6$	$1.365$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{18}]$
51.3.j.a	$51$	$3$	51.j	17.e	$16$	$48$	$6$	$1.390$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{16}]$
175.2.o.d	$175$	$2$	175.o	35.k	$12$	$24$	$6$	$1.397$		$_{}$	None	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{12}]$
2869.1.bj.b	$2869$	$1$	2869.bj	2869.aj	$18$	$36$	$6$	$1.432$	\(\Q(\zeta_{63})\)	$D_{63}$	\(\Q(\sqrt{-151}) \)	None		$4$	$0$	\(0\)	\(0\)	\(3\)	\(0\)	$1$		\(q+(-\zeta_{126}^{41}+\zeta_{126}^{50})q^{2}+(-\zeta_{126}^{19}+\cdots)q^{4}+\cdots\)
180.2.w.a	$180$	$2$	180.w	45.l	$12$	$24$	$6$	$1.437$		$_{}$	None	None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{12}]$
182.2.w.a	$182$	$2$	182.w	91.w	$12$	$40$	$10$	$1.453$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-8\)		$\mathrm{SU}(2)[C_{12}]$