Newform search results

Results (1-50 of 16602 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
59.2.c.a	$59$	$2$	59.c	59.c	$29$	$112$	$4$	$0.471$		$_{}$	None	None		$2$	$0$	\(-26\)	\(-23\)	\(-25\)	\(-23\)		$\mathrm{SU}(2)[C_{29}]$
71.2.g.a	$71$	$2$	71.g	71.g	$35$	$120$	$5$	$0.567$		$_{}$	None	None		$2$	$0$	\(-22\)	\(-20\)	\(-20\)	\(-27\)		$\mathrm{SU}(2)[C_{35}]$
79.2.g.a	$79$	$2$	79.g	79.g	$39$	$144$	$6$	$0.631$		$_{}$	None	None		$2$	$0$	\(-24\)	\(-26\)	\(-25\)	\(-26\)		$\mathrm{SU}(2)[C_{39}]$
81.2.g.a	$81$	$2$	81.g	81.g	$27$	$144$	$8$	$0.647$		$_{}$	None	None		$2$	$0$	\(-18\)	\(-18\)	\(-18\)	\(-18\)		$\mathrm{SU}(2)[C_{27}]$
83.2.c.a	$83$	$2$	83.c	83.c	$41$	$240$	$6$	$0.663$		$_{}$	None	None		$2$	$0$	\(-38\)	\(-37\)	\(-35\)	\(-33\)		$\mathrm{SU}(2)[C_{41}]$
89.2.g.a	$89$	$2$	89.g	89.g	$44$	$140$	$7$	$0.711$		$_{}$	None	None		$2$	$0$	\(-20\)	\(-20\)	\(-22\)	\(-20\)		$\mathrm{SU}(2)[C_{44}]$
97.2.k.a	$97$	$2$	97.k	97.k	$48$	$128$	$8$	$0.775$		$_{}$	None	None		$2$	$0$	\(-16\)	\(-24\)	\(-16\)	\(-16\)		$\mathrm{SU}(2)[C_{48}]$
101.2.g.a	$101$	$2$	101.g	101.g	$25$	$140$	$7$	$0.806$		$_{}$	None	None		$2$	$0$	\(-20\)	\(-20\)	\(-20\)	\(-20\)		$\mathrm{SU}(2)[C_{25}]$
101.2.h.a	$101$	$2$	101.h	101.h	$50$	$160$	$8$	$0.806$		$_{}$	None	None		$2$	$0$	\(-20\)	\(-20\)	\(-20\)	\(-20\)		$\mathrm{SU}(2)[C_{50}]$
103.2.e.a	$103$	$2$	103.e	103.e	$17$	$112$	$7$	$0.822$		$_{}$	None	None		$2$	$0$	\(-15\)	\(-11\)	\(-11\)	\(-5\)		$\mathrm{SU}(2)[C_{17}]$
103.2.g.a	$103$	$2$	103.g	103.g	$51$	$256$	$8$	$0.822$		$_{}$	None	None		$2$	$0$	\(-33\)	\(-30\)	\(-37\)	\(-29\)		$\mathrm{SU}(2)[C_{51}]$
107.2.c.a	$107$	$2$	107.c	107.c	$53$	$416$	$8$	$0.854$		$_{}$	None	None		$2$	$0$	\(-48\)	\(-49\)	\(-49\)	\(-45\)		$\mathrm{SU}(2)[C_{53}]$
109.2.i.a	$109$	$2$	109.i	109.i	$27$	$144$	$8$	$0.870$		$_{}$	None	None		$2$	$0$	\(-18\)	\(-18\)	\(-18\)	\(-18\)		$\mathrm{SU}(2)[C_{27}]$
109.2.k.a	$109$	$2$	109.k	109.k	$54$	$162$	$9$	$0.870$		$_{}$	None	None		$2$	$0$	\(-18\)	\(-18\)	\(-18\)	\(-18\)		$\mathrm{SU}(2)[C_{54}]$
111.2.q.b	$111$	$2$	111.q	111.q	$36$	$120$	$10$	$0.886$		$_{}$	None	None		$4$	$0$	\(0\)	\(-12\)	\(0\)	\(-24\)		$\mathrm{SU}(2)[C_{36}]$
113.2.i.a	$113$	$2$	113.i	113.i	$56$	$216$	$9$	$0.902$		$_{}$	None	None		$2$	$0$	\(-28\)	\(-24\)	\(-24\)	\(-12\)		$\mathrm{SU}(2)[C_{56}]$
1816.1.l.a	$1816$	$1$	1816.l	1816.l	$226$	$112$	$1$	$0.906$	\(\Q(\zeta_{226})\)	$D_{113}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(-1\)	\(-2\)	\(0\)	\(0\)	$1$		\(q+\zeta_{226}^{68}q^{2}+(\zeta_{226}^{62}+\zeta_{226}^{92})q^{3}+\cdots\)
115.2.l.a	$115$	$2$	115.l	115.l	$44$	$200$	$10$	$0.918$		$_{}$	None	None		$4$	$0$	\(-18\)	\(-14\)	\(-22\)	\(-22\)		$\mathrm{SU}(2)[C_{44}]$
1841.1.l.a	$1841$	$1$	1841.l	1841.l	$262$	$130$	$1$	$0.919$	\(\Q(\zeta_{262})\)	$D_{131}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+(-\zeta_{262}^{49}+\zeta_{262}^{88})q^{2}+(\zeta_{262}^{6}-\zeta_{262}^{45}+\cdots)q^{4}+\cdots\)
116.2.l.b	$116$	$2$	116.l	116.l	$28$	$144$	$12$	$0.926$		$_{}$	None	None		$4$	$0$	\(-12\)	\(0\)	\(-28\)	\(0\)		$\mathrm{SU}(2)[C_{28}]$
1857.1.l.a	$1857$	$1$	1857.l	1857.l	$206$	$102$	$1$	$0.927$	\(\Q(\zeta_{206})\)	$D_{103}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q-\zeta_{206}^{23}q^{3}+\zeta_{206}^{94}q^{4}+(\zeta_{206}^{36}+\cdots)q^{7}+\cdots\)
119.2.s.a	$119$	$2$	119.s	119.s	$48$	$160$	$10$	$0.950$		$_{}$	None	None		$4$	$0$	\(-8\)	\(-24\)	\(-24\)	\(-16\)		$\mathrm{SU}(2)[C_{48}]$
1929.1.k.a	$1929$	$1$	1929.k	1929.k	$214$	$106$	$1$	$0.963$	\(\Q(\zeta_{214})\)	$D_{107}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q-\zeta_{214}^{39}q^{3}-\zeta_{214}^{105}q^{4}+(\zeta_{214}^{30}+\cdots)q^{7}+\cdots\)
121.2.g.a	$121$	$2$	121.g	121.g	$55$	$400$	$10$	$0.966$		$_{}$	None	None		$2$	$0$	\(-44\)	\(-32\)	\(-43\)	\(-44\)		$\mathrm{SU}(2)[C_{55}]$
123.2.o.a	$123$	$2$	123.o	123.o	$40$	$192$	$12$	$0.982$		$_{}$	None	None		$4$	$0$	\(0\)	\(-12\)	\(0\)	\(-32\)		$\mathrm{SU}(2)[C_{40}]$
124.2.p.a	$124$	$2$	124.p	124.p	$30$	$112$	$14$	$0.990$		$_{}$	None	None		$4$	$0$	\(-6\)	\(0\)	\(-8\)	\(0\)		$\mathrm{SU}(2)[C_{30}]$
125.2.g.a	$125$	$2$	125.g	125.g	$25$	$220$	$11$	$0.998$		$_{}$	None	None		$2$	$0$	\(-20\)	\(-20\)	\(-15\)	\(-15\)		$\mathrm{SU}(2)[C_{25}]$
125.2.h.a	$125$	$2$	125.h	125.h	$50$	$240$	$12$	$0.998$		$_{}$	None	None		$2$	$0$	\(-20\)	\(-20\)	\(-25\)	\(-25\)		$\mathrm{SU}(2)[C_{50}]$
127.2.i.a	$127$	$2$	127.i	127.i	$21$	$108$	$9$	$1.014$		$_{}$	None	None		$2$	$0$	\(-5\)	\(-15\)	\(-6\)	\(2\)		$\mathrm{SU}(2)[C_{21}]$
127.2.k.a	$127$	$2$	127.k	127.k	$63$	$360$	$10$	$1.014$		$_{}$	None	None		$2$	$0$	\(-30\)	\(-36\)	\(-45\)	\(-42\)		$\mathrm{SU}(2)[C_{63}]$
2036.1.j.a	$2036$	$1$	2036.j	2036.j	$254$	$126$	$1$	$1.016$	\(\Q(\zeta_{254})\)	$D_{127}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\zeta_{254}^{55}q^{2}+\zeta_{254}^{110}q^{4}+(\zeta_{254}^{48}+\cdots)q^{5}+\cdots\)
128.2.k.a	$128$	$2$	128.k	128.k	$32$	$240$	$15$	$1.022$		$_{}$	None	None		$2$	$0$	\(-16\)	\(-16\)	\(-16\)	\(-16\)		$\mathrm{SU}(2)[C_{32}]$
129.2.n.b	$129$	$2$	129.n	129.n	$42$	$144$	$12$	$1.030$		$_{}$	None	None		$4$	$0$	\(0\)	\(-14\)	\(0\)	\(-42\)		$\mathrm{SU}(2)[C_{42}]$
131.2.e.a	$131$	$2$	131.e	131.e	$13$	$120$	$10$	$1.046$		$_{}$	None	None		$2$	$0$	\(-10\)	\(-9\)	\(-9\)	\(-5\)		$\mathrm{SU}(2)[C_{13}]$
131.2.g.a	$131$	$2$	131.g	131.g	$65$	$480$	$10$	$1.046$		$_{}$	None	None		$2$	$0$	\(-50\)	\(-51\)	\(-51\)	\(-50\)		$\mathrm{SU}(2)[C_{65}]$
135.2.q.a	$135$	$2$	135.q	135.q	$36$	$192$	$16$	$1.078$		$_{}$	None	None		$4$	$0$	\(-12\)	\(-12\)	\(-12\)	\(-12\)		$\mathrm{SU}(2)[C_{36}]$
136.2.s.c	$136$	$2$	136.s	136.s	$16$	$112$	$14$	$1.086$		$_{}$	None	None		$4$	$0$	\(-8\)	\(-16\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{16}]$
2181.1.s.a	$2181$	$1$	2181.s	2181.s	$242$	$110$	$1$	$1.088$	\(\Q(\zeta_{242})\)	$D_{121}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{242}^{39}q^{3}-\zeta_{242}^{105}q^{4}+(\zeta_{242}^{54}+\cdots)q^{7}+\cdots\)
137.2.e.a	$137$	$2$	137.e	137.e	$17$	$160$	$10$	$1.094$		$_{}$	None	None		$2$	$0$	\(-11\)	\(-11\)	\(-7\)	\(-28\)		$\mathrm{SU}(2)[C_{17}]$
137.2.f.a	$137$	$2$	137.f	137.f	$34$	$160$	$10$	$1.094$		$_{}$	None	None		$2$	$0$	\(-13\)	\(-17\)	\(-17\)	\(-2\)		$\mathrm{SU}(2)[C_{34}]$
137.2.g.a	$137$	$2$	137.g	137.g	$68$	$352$	$11$	$1.094$		$_{}$	None	None		$2$	$0$	\(-34\)	\(-28\)	\(-30\)	\(-34\)		$\mathrm{SU}(2)[C_{68}]$
139.2.e.a	$139$	$2$	139.e	139.e	$23$	$220$	$10$	$1.110$		$_{}$	None	None		$2$	$0$	\(-20\)	\(-17\)	\(-19\)	\(-13\)		$\mathrm{SU}(2)[C_{23}]$
139.2.g.a	$139$	$2$	139.g	139.g	$69$	$484$	$11$	$1.110$		$_{}$	None	None		$2$	$0$	\(-46\)	\(-48\)	\(-44\)	\(-45\)		$\mathrm{SU}(2)[C_{69}]$
2228.1.i.a	$2228$	$1$	2228.i	2228.i	$278$	$138$	$1$	$1.112$	\(\Q(\zeta_{278})\)	$D_{139}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\zeta_{278}^{109}q^{2}-\zeta_{278}^{79}q^{4}+(-\zeta_{278}^{9}+\cdots)q^{5}+\cdots\)
141.2.g.a	$141$	$2$	141.g	141.g	$46$	$308$	$14$	$1.126$		$_{}$	None	None		$4$	$0$	\(0\)	\(-19\)	\(0\)	\(-42\)		$\mathrm{SU}(2)[C_{46}]$
143.2.w.a	$143$	$2$	143.w	143.w	$60$	$192$	$12$	$1.142$		$_{}$	None	None		$4$	$0$	\(-20\)	\(-6\)	\(-12\)	\(-20\)		$\mathrm{SU}(2)[C_{60}]$
145.2.o.a	$145$	$2$	145.o	145.o	$28$	$156$	$13$	$1.158$		$_{}$	None	None		$2$	$0$	\(-8\)	\(-14\)	\(-14\)	\(-10\)		$\mathrm{SU}(2)[C_{28}]$
145.2.t.a	$145$	$2$	145.t	145.t	$28$	$156$	$13$	$1.158$		$_{}$	None	None		$2$	$0$	\(-14\)	\(-10\)	\(-14\)	\(-10\)		$\mathrm{SU}(2)[C_{28}]$
147.2.o.b	$147$	$2$	147.o	147.o	$42$	$192$	$16$	$1.174$		$_{}$	None	None		$4$	$0$	\(0\)	\(-14\)	\(0\)	\(-28\)		$\mathrm{SU}(2)[C_{42}]$
2361.1.l.a	$2361$	$1$	2361.l	2361.l	$262$	$130$	$1$	$1.178$	\(\Q(\zeta_{262})\)	$D_{131}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q-\zeta_{262}^{123}q^{3}-\zeta_{262}^{83}q^{4}+(-\zeta_{262}^{39}+\cdots)q^{7}+\cdots\)