Newform search results

Results (1-50 of 105 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
61.2.k.a	$61$	$2$	61.k	61.k	$30$	$40$	$5$	$0.487$		$_{}$	None	None		$2$	$0$	\(-7\)	\(-4\)	\(-18\)	\(-11\)		$\mathrm{SU}(2)[C_{30}]$
67.2.g.a	$67$	$2$	67.g	67.g	$33$	$100$	$5$	$0.535$		$_{}$	None	None		$2$	$0$	\(-24\)	\(-14\)	\(-16\)	\(-24\)		$\mathrm{SU}(2)[C_{33}]$
71.2.g.a	$71$	$2$	71.g	71.g	$35$	$120$	$5$	$0.567$		$_{}$	None	None		$2$	$0$	\(-22\)	\(-20\)	\(-20\)	\(-27\)		$\mathrm{SU}(2)[C_{35}]$
37.3.i.a	$37$	$3$	37.i	37.i	$36$	$60$	$5$	$1.008$		$_{}$	None	None		$2$	$0$	\(-12\)	\(-12\)	\(6\)	\(-12\)		$\mathrm{SU}(2)[C_{36}]$
147.2.m.b	$147$	$2$	147.m	49.g	$21$	$60$	$5$	$1.174$		$_{}$	None	None		$2$	$0$	\(1\)	\(5\)	\(-2\)	\(5\)		$\mathrm{SU}(2)[C_{21}]$
2449.1.bg.a	$2449$	$1$	2449.bg	2449.ag	$30$	$40$	$5$	$1.222$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-79}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{150}^{7}+\zeta_{150}^{8})q^{2}+(\zeta_{150}^{14}-\zeta_{150}^{15}+\cdots)q^{4}+\cdots\)
162.2.g.b	$162$	$2$	162.g	81.g	$27$	$90$	$5$	$1.294$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{27}]$
177.2.e.a	$177$	$2$	177.e	59.c	$29$	$140$	$5$	$1.413$		$_{}$	None	None		$2$	$0$	\(-1\)	\(-5\)	\(-2\)	\(-2\)		$\mathrm{SU}(2)[C_{29}]$
177.2.e.b	$177$	$2$	177.e	59.c	$29$	$140$	$5$	$1.413$		$_{}$	None	None		$2$	$0$	\(1\)	\(5\)	\(2\)	\(-2\)		$\mathrm{SU}(2)[C_{29}]$
2867.1.u.a	$2867$	$1$	2867.u	2867.u	$30$	$40$	$5$	$1.431$	\(\Q(\zeta_{75})\)	$D_{150}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{150}^{7}+\zeta_{150}^{13})q^{2}+(\zeta_{150}^{59}+\zeta_{150}^{61}+\cdots)q^{3}+\cdots\)
2867.1.w.a	$2867$	$1$	2867.w	2867.w	$30$	$40$	$5$	$1.431$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{150}^{7}-\zeta_{150}^{13})q^{2}+(-\zeta_{150}^{59}+\cdots)q^{3}+\cdots\)
183.2.u.c	$183$	$2$	183.u	61.k	$30$	$40$	$5$	$1.461$		$_{}$	None	None		$2$	$0$	\(0\)	\(-10\)	\(5\)	\(0\)		$\mathrm{SU}(2)[C_{30}]$
196.2.m.a	$196$	$2$	196.m	49.g	$21$	$60$	$5$	$1.565$		$_{}$	None	None		$2$	$0$	\(0\)	\(1\)	\(3\)	\(4\)		$\mathrm{SU}(2)[C_{21}]$
201.2.m.a	$201$	$2$	201.m	67.g	$33$	$100$	$5$	$1.605$		$_{}$	None	None		$2$	$0$	\(2\)	\(10\)	\(-2\)	\(1\)		$\mathrm{SU}(2)[C_{33}]$
202.2.g.b	$202$	$2$	202.g	101.g	$25$	$100$	$5$	$1.613$		$_{}$	None	None		$2$	$0$	\(0\)	\(-5\)	\(0\)	\(-10\)		$\mathrm{SU}(2)[C_{25}]$
3337.1.t.a	$3337$	$1$	3337.t	3337.t	$70$	$120$	$5$	$1.665$	\(\Q(\zeta_{175})\)	$D_{175}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{350}^{58}+\zeta_{350}^{172})q^{2}+(\zeta_{350}^{76}+\zeta_{350}^{104}+\cdots)q^{3}+\cdots\)
214.2.c.b	$214$	$2$	214.c	107.c	$53$	$260$	$5$	$1.709$		$_{}$	None	None		$2$	$0$	\(-5\)	\(-5\)	\(-3\)	\(-4\)		$\mathrm{SU}(2)[C_{53}]$
218.2.i.b	$218$	$2$	218.i	109.i	$27$	$90$	$5$	$1.741$		$_{}$	None	None		$2$	$0$	\(0\)	\(-9\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{27}]$
219.2.u.a	$219$	$2$	219.u	73.k	$36$	$60$	$5$	$1.749$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-6\)	\(6\)		$\mathrm{SU}(2)[C_{36}]$
226.2.h.a	$226$	$2$	226.h	113.h	$28$	$60$	$5$	$1.805$		$_{}$	None	None		$2$	$0$	\(-10\)	\(2\)	\(6\)	\(8\)		$\mathrm{SU}(2)[C_{28}]$
226.2.h.b	$226$	$2$	226.h	113.h	$28$	$60$	$5$	$1.805$		$_{}$	None	None		$2$	$0$	\(10\)	\(4\)	\(0\)	\(-8\)		$\mathrm{SU}(2)[C_{28}]$
226.2.i.b	$226$	$2$	226.i	113.i	$56$	$120$	$5$	$1.805$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$\mathrm{SU}(2)[C_{56}]$
3689.1.ea.a	$3689$	$1$	3689.ea	3689.da	$30$	$40$	$5$	$1.841$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-119}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(5\)	$1$		\(q+(-\zeta_{150}^{11}-\zeta_{150}^{49})q^{2}+(\zeta_{150}^{44}+\cdots)q^{3}+\cdots\)
3689.1.ea.b	$3689$	$1$	3689.ea	3689.da	$30$	$40$	$5$	$1.841$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-119}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-5\)	$1$		\(q+(-\zeta_{150}^{11}-\zeta_{150}^{49})q^{2}+(-\zeta_{150}^{44}+\cdots)q^{3}+\cdots\)
236.2.e.a	$236$	$2$	236.e	59.c	$29$	$140$	$5$	$1.884$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(2\)	\(-4\)		$\mathrm{SU}(2)[C_{29}]$
242.2.g.a	$242$	$2$	242.g	121.g	$55$	$200$	$5$	$1.932$		$_{}$	None	None		$2$	$0$	\(-5\)	\(10\)	\(-1\)	\(0\)		$\mathrm{SU}(2)[C_{55}]$
244.2.t.a	$244$	$2$	244.t	61.k	$30$	$40$	$5$	$1.948$		$_{}$	None	None		$2$	$0$	\(0\)	\(-2\)	\(1\)	\(6\)		$\mathrm{SU}(2)[C_{30}]$
254.2.k.a	$254$	$2$	254.k	127.k	$63$	$180$	$5$	$2.028$		$_{}$	None	None		$2$	$0$	\(-30\)	\(0\)	\(6\)	\(9\)		$\mathrm{SU}(2)[C_{63}]$
254.2.k.b	$254$	$2$	254.k	127.k	$63$	$180$	$5$	$2.028$		$_{}$	None	None		$2$	$0$	\(30\)	\(0\)	\(0\)	\(-3\)		$\mathrm{SU}(2)[C_{63}]$
262.2.g.a	$262$	$2$	262.g	131.g	$65$	$240$	$5$	$2.092$		$_{}$	None	None		$2$	$0$	\(-5\)	\(-1\)	\(-1\)	\(0\)		$\mathrm{SU}(2)[C_{65}]$
274.2.g.a	$274$	$2$	274.g	137.g	$68$	$160$	$5$	$2.188$		$_{}$	None	None		$2$	$0$	\(0\)	\(-2\)	\(2\)	\(0\)		$\mathrm{SU}(2)[C_{68}]$
278.2.g.a	$278$	$2$	278.g	139.g	$69$	$220$	$5$	$2.220$		$_{}$	None	None		$2$	$0$	\(-5\)	\(0\)	\(-2\)	\(0\)		$\mathrm{SU}(2)[C_{69}]$
93.3.n.a	$93$	$3$	93.n	31.h	$30$	$40$	$5$	$2.534$		$_{}$	None	None		$2$	$0$	\(6\)	\(-15\)	\(0\)	\(11\)		$\mathrm{SU}(2)[C_{30}]$
344.2.y.a	$344$	$2$	344.y	43.g	$21$	$60$	$5$	$2.747$		$_{}$	None	None		$2$	$0$	\(0\)	\(-9\)	\(-1\)	\(1\)		$\mathrm{SU}(2)[C_{21}]$
106.3.f.b	$106$	$3$	106.f	53.f	$52$	$120$	$5$	$2.888$		$_{}$	None	None		$2$	$0$	\(-10\)	\(-2\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{52}]$
116.3.k.a	$116$	$3$	116.k	29.f	$28$	$60$	$5$	$3.161$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{28}]$
122.3.l.a	$122$	$3$	122.l	61.l	$60$	$80$	$5$	$3.324$		$_{}$	None	None		$2$	$0$	\(-10\)	\(-10\)	\(4\)	\(-4\)		$\mathrm{SU}(2)[C_{60}]$
124.3.o.a	$124$	$3$	124.o	31.h	$30$	$40$	$5$	$3.379$		$_{}$	None	None		$2$	$0$	\(0\)	\(-3\)	\(-3\)	\(19\)		$\mathrm{SU}(2)[C_{30}]$
430.2.q.d	$430$	$2$	430.q	43.g	$21$	$60$	$5$	$3.434$		$_{}$	None	None		$2$	$0$	\(10\)	\(-1\)	\(-5\)	\(1\)		$\mathrm{SU}(2)[C_{21}]$
441.2.bb.e	$441$	$2$	441.bb	49.g	$21$	$60$	$5$	$3.521$		$_{}$	None	None		$2$	$0$	\(-1\)	\(0\)	\(2\)	\(5\)		$\mathrm{SU}(2)[C_{21}]$
470.2.g.d	$470$	$2$	470.g	47.c	$23$	$110$	$5$	$3.753$		$_{}$	None	None		$2$	$0$	\(-5\)	\(-3\)	\(5\)	\(-2\)		$\mathrm{SU}(2)[C_{23}]$
486.2.g.b	$486$	$2$	486.g	81.g	$27$	$90$	$5$	$3.881$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{27}]$
490.2.q.b	$490$	$2$	490.q	49.g	$21$	$60$	$5$	$3.913$		$_{}$	None	None		$2$	$0$	\(-5\)	\(-8\)	\(5\)	\(4\)		$\mathrm{SU}(2)[C_{21}]$
490.2.q.c	$490$	$2$	490.q	49.g	$21$	$60$	$5$	$3.913$		$_{}$	None	None		$2$	$0$	\(-5\)	\(0\)	\(-5\)	\(1\)		$\mathrm{SU}(2)[C_{21}]$
496.2.bp.a	$496$	$2$	496.bp	124.p	$30$	$40$	$5$	$3.961$		$_{}$	None	None		$2$	$0$	\(0\)	\(-1\)	\(1\)	\(-3\)		$\mathrm{SU}(2)[C_{30}]$
496.2.bp.b	$496$	$2$	496.bp	124.p	$30$	$40$	$5$	$3.961$		$_{}$	None	None		$2$	$0$	\(0\)	\(1\)	\(1\)	\(3\)		$\mathrm{SU}(2)[C_{30}]$
146.3.j.a	$146$	$3$	146.j	73.j	$24$	$40$	$5$	$3.978$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(8\)		$\mathrm{SU}(2)[C_{24}]$
531.2.i.b	$531$	$2$	531.i	59.c	$29$	$140$	$5$	$4.240$		$_{}$	None	None		$2$	$0$	\(-1\)	\(0\)	\(-2\)	\(-2\)		$\mathrm{SU}(2)[C_{29}]$
531.2.i.c	$531$	$2$	531.i	59.c	$29$	$140$	$5$	$4.240$		$_{}$	None	None		$2$	$0$	\(1\)	\(0\)	\(2\)	\(-2\)		$\mathrm{SU}(2)[C_{29}]$
549.2.bs.d	$549$	$2$	549.bs	61.k	$30$	$40$	$5$	$4.384$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-5\)	\(0\)		$\mathrm{SU}(2)[C_{30}]$