Newform search results

Results (1-50 of 146 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
49.2.g.a	$49$	$2$	49.g	49.g	$21$	$48$	$4$	$0.391$		$_{}$	None	None		$2$	$0$	\(-13\)	\(-14\)	\(-14\)	\(-14\)		$\mathrm{SU}(2)[C_{21}]$
53.2.e.a	$53$	$2$	53.e	53.e	$26$	$48$	$4$	$0.423$		$_{}$	None	None		$2$	$0$	\(-13\)	\(-13\)	\(-13\)	\(-5\)		$\mathrm{SU}(2)[C_{26}]$
59.2.c.a	$59$	$2$	59.c	59.c	$29$	$112$	$4$	$0.471$		$_{}$	None	None		$2$	$0$	\(-26\)	\(-23\)	\(-25\)	\(-23\)		$\mathrm{SU}(2)[C_{29}]$
1449.1.bu.a	$1449$	$1$	1449.bu	483.w	$22$	$40$	$4$	$0.723$	\(\Q(\zeta_{88})\)	$D_{44}$	\(\Q(\sqrt{-7}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{88}^{5}-\zeta_{88}^{7})q^{2}+(\zeta_{88}^{10}+\zeta_{88}^{12}+\cdots)q^{4}+\cdots\)
29.3.f.a	$29$	$3$	29.f	29.f	$28$	$48$	$4$	$0.790$		$_{}$	None	None		$2$	$0$	\(-16\)	\(-12\)	\(-14\)	\(-10\)		$\mathrm{SU}(2)[C_{28}]$
31.3.h.a	$31$	$3$	31.h	31.h	$30$	$32$	$4$	$0.845$		$_{}$	None	None		$2$	$0$	\(-6\)	\(-10\)	\(-7\)	\(-22\)		$\mathrm{SU}(2)[C_{30}]$
106.2.e.a	$106$	$2$	106.e	53.e	$26$	$48$	$4$	$0.846$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)		$\mathrm{SU}(2)[C_{26}]$
1817.1.l.b	$1817$	$1$	1817.l	1817.l	$22$	$40$	$4$	$0.907$	\(\Q(\zeta_{55})\)	$D_{55}$	\(\Q(\sqrt{-79}) \)	None		$4$	$0$	\(2\)	\(0\)	\(2\)	\(0\)	$1$		\(q+(-\zeta_{110}^{7}+\zeta_{110}^{8})q^{2}+(\zeta_{110}^{14}-\zeta_{110}^{15}+\cdots)q^{4}+\cdots\)
122.2.k.a	$122$	$2$	122.k	61.k	$30$	$32$	$4$	$0.974$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(-2\)		$\mathrm{SU}(2)[C_{30}]$
129.2.m.b	$129$	$2$	129.m	43.g	$21$	$48$	$4$	$1.030$		$_{}$	None	None		$2$	$0$	\(2\)	\(4\)	\(1\)	\(-16\)		$\mathrm{SU}(2)[C_{21}]$
141.2.e.a	$141$	$2$	141.e	47.c	$23$	$88$	$4$	$1.126$		$_{}$	None	None		$2$	$0$	\(-2\)	\(-4\)	\(-4\)	\(-2\)		$\mathrm{SU}(2)[C_{23}]$
141.2.e.b	$141$	$2$	141.e	47.c	$23$	$88$	$4$	$1.126$		$_{}$	None	None		$2$	$0$	\(2\)	\(4\)	\(0\)	\(-2\)		$\mathrm{SU}(2)[C_{23}]$
2303.1.q.b	$2303$	$1$	2303.q	2303.q	$42$	$48$	$4$	$1.149$	\(\Q(\zeta_{210})\)	$D_{105}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(1\)	\(-2\)	\(0\)	\(-1\)	$1$		\(q+(-\zeta_{210}^{9}+\zeta_{210}^{16})q^{2}+(\zeta_{210}^{52}+\zeta_{210}^{58}+\cdots)q^{3}+\cdots\)
147.2.m.a	$147$	$2$	147.m	49.g	$21$	$48$	$4$	$1.174$		$_{}$	None	None		$2$	$0$	\(-1\)	\(-4\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{21}]$
2369.1.m.b	$2369$	$1$	2369.m	2369.m	$22$	$40$	$4$	$1.182$	\(\Q(\zeta_{55})\)	$D_{55}$	\(\Q(\sqrt{-103}) \)	None		$4$	$0$	\(2\)	\(0\)	\(0\)	\(2\)	$1$		\(q+(-\zeta_{110}+\zeta_{110}^{4})q^{2}+(\zeta_{110}^{2}-\zeta_{110}^{5}+\cdots)q^{4}+\cdots\)
2491.1.i.b	$2491$	$1$	2491.i	2491.i	$26$	$48$	$4$	$1.243$	\(\Q(\zeta_{65})\)	$D_{65}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(2\)	\(2\)	\(0\)	\(-11\)	$1$		\(q+(-\zeta_{130}^{7}+\zeta_{130}^{8})q^{2}+(\zeta_{130}^{6}+\zeta_{130}^{54}+\cdots)q^{3}+\cdots\)
2491.1.j.b	$2491$	$1$	2491.j	2491.j	$26$	$48$	$4$	$1.243$	\(\Q(\zeta_{65})\)	$D_{130}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(11\)	$1$		\(q+(-\zeta_{130}^{7}-\zeta_{130}^{8})q^{2}+(\zeta_{130}^{6}-\zeta_{130}^{54}+\cdots)q^{3}+\cdots\)
46.3.d.a	$46$	$3$	46.d	23.d	$22$	$40$	$4$	$1.253$		$_{}$	None	None		$2$	$0$	\(0\)	\(4\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{22}]$
2541.1.bn.a	$2541$	$1$	2541.bn	231.af	$30$	$32$	$4$	$1.268$	\(\Q(\zeta_{120})\)	$D_{12}$	\(\Q(\sqrt{-3}) \)	None		$32$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{120}^{22}q^{3}+\zeta_{120}^{28}q^{4}+\zeta_{120}^{43}q^{7}+\cdots\)
2553.1.bh.d	$2553$	$1$	2553.bh	2553.ah	$22$	$40$	$4$	$1.274$	\(\Q(\zeta_{88})\)	$D_{44}$	\(\Q(\sqrt{-111}) \)	None		$8$	$0$	\(0\)	\(4\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{88}^{7}-\zeta_{88}^{9})q^{2}+\zeta_{88}^{20}q^{3}+\cdots\)
162.2.g.a	$162$	$2$	162.g	81.g	$27$	$72$	$4$	$1.294$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{27}]$
166.2.c.b	$166$	$2$	166.c	83.c	$41$	$160$	$4$	$1.326$		$_{}$	None	None		$2$	$0$	\(-4\)	\(-5\)	\(-5\)	\(-10\)		$\mathrm{SU}(2)[C_{41}]$
2709.1.fj.a	$2709$	$1$	2709.fj	903.bb	$42$	$48$	$4$	$1.352$	\(\Q(\zeta_{168})\)	$D_{84}$	\(\Q(\sqrt{-7}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{168}^{11}-\zeta_{168}^{13})q^{2}+(\zeta_{168}^{22}+\cdots)q^{4}+\cdots\)
172.2.m.a	$172$	$2$	172.m	43.g	$21$	$48$	$4$	$1.373$		$_{}$	None	None		$2$	$0$	\(0\)	\(3\)	\(0\)	\(-2\)		$\mathrm{SU}(2)[C_{21}]$
2773.1.j.b	$2773$	$1$	2773.j	2773.j	$58$	$112$	$4$	$1.384$	\(\Q(\zeta_{145})\)	$D_{145}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(2\)	\(2\)	\(0\)	\(2\)	$1$		\(q+(\zeta_{290}^{84}+\zeta_{290}^{106})q^{2}+(-\zeta_{290}^{27}+\cdots)q^{3}+\cdots\)
178.2.f.a	$178$	$2$	178.f	89.f	$22$	$40$	$4$	$1.421$		$_{}$	None	None		$2$	$0$	\(-4\)	\(-11\)	\(6\)	\(0\)		$\mathrm{SU}(2)[C_{22}]$
178.2.f.b	$178$	$2$	178.f	89.f	$22$	$40$	$4$	$1.421$		$_{}$	None	None		$2$	$0$	\(4\)	\(-11\)	\(-2\)	\(0\)		$\mathrm{SU}(2)[C_{22}]$
178.2.g.b	$178$	$2$	178.g	89.g	$44$	$80$	$4$	$1.421$		$_{}$	None	None		$2$	$0$	\(8\)	\(2\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{44}]$
2883.1.o.e	$2883$	$1$	2883.o	93.o	$30$	$32$	$4$	$1.439$	\(\Q(\zeta_{120})\)	$S_{4}$	None	None		$32$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)	$1$		\(q-\zeta_{120}^{42}q^{2}+\zeta_{120}^{43}q^{3}+\zeta_{120}^{50}q^{5}+\cdots\)
188.2.e.a	$188$	$2$	188.e	47.c	$23$	$88$	$4$	$1.501$		$_{}$	None	None		$2$	$0$	\(0\)	\(2\)	\(2\)	\(2\)		$\mathrm{SU}(2)[C_{23}]$
194.2.i.a	$194$	$2$	194.i	97.i	$24$	$32$	$4$	$1.549$		$_{}$	None	None		$2$	$0$	\(0\)	\(-4\)	\(-4\)	\(4\)		$\mathrm{SU}(2)[C_{24}]$
194.2.i.b	$194$	$2$	194.i	97.i	$24$	$32$	$4$	$1.549$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(8\)	\(4\)		$\mathrm{SU}(2)[C_{24}]$
194.2.k.b	$194$	$2$	194.k	97.k	$48$	$64$	$4$	$1.549$		$_{}$	None	None		$2$	$0$	\(0\)	\(8\)	\(-8\)	\(0\)		$\mathrm{SU}(2)[C_{48}]$
202.2.g.a	$202$	$2$	202.g	101.g	$25$	$80$	$4$	$1.613$		$_{}$	None	None		$2$	$0$	\(0\)	\(5\)	\(0\)	\(10\)		$\mathrm{SU}(2)[C_{25}]$
3289.1.bn.c	$3289$	$1$	3289.bn	3289.an	$22$	$40$	$4$	$1.641$	\(\Q(\zeta_{55})\)	$D_{55}$	\(\Q(\sqrt{-143}) \)	None		$4$	$0$	\(-2\)	\(2\)	\(0\)	\(-2\)	$1$		\(q+(\zeta_{110}^{7}-\zeta_{110}^{28})q^{2}+(\zeta_{110}^{18}+\zeta_{110}^{42}+\cdots)q^{3}+\cdots\)
3289.1.bn.d	$3289$	$1$	3289.bn	3289.an	$22$	$40$	$4$	$1.641$	\(\Q(\zeta_{55})\)	$D_{55}$	\(\Q(\sqrt{-143}) \)	None		$4$	$0$	\(2\)	\(2\)	\(0\)	\(2\)	$1$		\(q+(-\zeta_{110}^{7}+\zeta_{110}^{28})q^{2}+(\zeta_{110}^{18}+\zeta_{110}^{42}+\cdots)q^{3}+\cdots\)
206.2.g.a	$206$	$2$	206.g	103.g	$51$	$128$	$4$	$1.645$		$_{}$	None	None		$2$	$0$	\(-4\)	\(2\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{51}]$
206.2.g.b	$206$	$2$	206.g	103.g	$51$	$128$	$4$	$1.645$		$_{}$	None	None		$2$	$0$	\(4\)	\(2\)	\(6\)	\(-4\)		$\mathrm{SU}(2)[C_{51}]$
212.2.j.a	$212$	$2$	212.j	53.e	$26$	$48$	$4$	$1.693$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)		$\mathrm{SU}(2)[C_{26}]$
3416.1.fy.a	$3416$	$1$	3416.fy	3416.ey	$30$	$32$	$4$	$1.705$	\(\Q(\zeta_{120})\)	$D_{60}$	\(\Q(\sqrt{-14}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{120}^{58}q^{2}+(-\zeta_{120}+\zeta_{120}^{35})q^{3}+\cdots\)
214.2.c.a	$214$	$2$	214.c	107.c	$53$	$208$	$4$	$1.709$		$_{}$	None	None		$2$	$0$	\(4\)	\(3\)	\(1\)	\(0\)		$\mathrm{SU}(2)[C_{53}]$
3471.1.bx.a	$3471$	$1$	3471.bx	3471.ax	$22$	$40$	$4$	$1.732$	\(\Q(\zeta_{88})\)	$D_{44}$	\(\Q(\sqrt{-39}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{88}^{23}+\zeta_{88}^{25})q^{2}-\zeta_{88}^{18}q^{3}+\cdots\)
3471.1.cn.a	$3471$	$1$	3471.cn	3471.bn	$44$	$80$	$4$	$1.732$	\(\Q(\zeta_{176})\)	$D_{88}$	\(\Q(\sqrt{-39}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{176}-\zeta_{176}^{15})q^{2}-\zeta_{176}^{6}q^{3}+\cdots\)
218.2.i.a	$218$	$2$	218.i	109.i	$27$	$72$	$4$	$1.741$		$_{}$	None	None		$2$	$0$	\(0\)	\(9\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{27}]$
3604.1.bo.a	$3604$	$1$	3604.bo	3604.ao	$26$	$48$	$4$	$1.799$	\(\Q(\zeta_{104})\)	$D_{52}$	\(\Q(\sqrt{-17}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{104}^{46}q^{2}+(-\zeta_{104}^{23}+\zeta_{104}^{33}+\cdots)q^{3}+\cdots\)
226.2.i.a	$226$	$2$	226.i	113.i	$56$	$96$	$4$	$1.805$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$\mathrm{SU}(2)[C_{56}]$
3657.1.o.c	$3657$	$1$	3657.o	3657.o	$22$	$40$	$4$	$1.825$	\(\Q(\zeta_{55})\)	$D_{55}$	\(\Q(\sqrt{-159}) \)	None		$4$	$0$	\(-2\)	\(4\)	\(-2\)	\(-9\)	$1$		\(q+(-\zeta_{110}^{14}+\zeta_{110}^{21})q^{2}-\zeta_{110}^{30}q^{3}+\cdots\)
3657.1.o.d	$3657$	$1$	3657.o	3657.o	$22$	$40$	$4$	$1.825$	\(\Q(\zeta_{55})\)	$D_{55}$	\(\Q(\sqrt{-159}) \)	None		$4$	$0$	\(2\)	\(-4\)	\(2\)	\(-9\)	$1$		\(q+(\zeta_{110}^{14}-\zeta_{110}^{21})q^{2}+\zeta_{110}^{30}q^{3}+\cdots\)
3680.1.co.a	$3680$	$1$	3680.co	115.i	$22$	$40$	$4$	$1.837$	\(\Q(\zeta_{88})\)	$D_{44}$	\(\Q(\sqrt{-5}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{88}^{29}-\zeta_{88}^{31})q^{3}-\zeta_{88}^{6}q^{5}+\cdots\)
3703.1.l.j	$3703$	$1$	3703.l	161.l	$22$	$40$	$4$	$1.848$	\(\Q(\zeta_{88})\)	$S_{4}$	None	None		$40$	$0$	\(4\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{88}^{28}q^{2}+\zeta_{88}^{26}q^{3}+(\zeta_{88}^{3}+\zeta_{88}^{25}+\cdots)q^{5}+\cdots\)