Newform search results

Results (1-50 of 81 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
406.2.a.a	$406$	$2$	406.a	1.a	$1$	$1$	$1$	$3.242$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}-3q^{9}-4q^{11}+\cdots\)
406.2.a.b	$406$	$2$	406.a	1.a	$1$	$1$	$1$	$3.242$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(-3\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-3q^{5}-q^{6}+q^{7}+\cdots\)
406.2.a.c	$406$	$2$	406.a	1.a	$1$	$1$	$1$	$3.242$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(2\)	\(2\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}+q^{4}+2q^{5}-2q^{6}+q^{7}+\cdots\)
406.2.a.d	$406$	$2$	406.a	1.a	$1$	$1$	$1$	$3.242$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(-3\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-3q^{5}-q^{6}-q^{7}+\cdots\)
406.2.a.e	$406$	$2$	406.a	1.a	$1$	$2$	$2$	$3.242$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(2\)	\(4\)	\(2\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}+q^{4}+(1+\beta )q^{5}+2q^{6}+\cdots\)
406.2.a.f	$406$	$2$	406.a	1.a	$1$	$3$	$3$	$3.242$	3.3.568.1	None	✓	$1$	$0$	\(-3\)	\(1\)	\(5\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{2}q^{3}+q^{4}+(2-\beta _{1})q^{5}+\beta _{2}q^{6}+\cdots\)
406.2.a.g	$406$	$2$	406.a	1.a	$1$	$4$	$4$	$3.242$	4.4.11348.1	None	✓	$1$	$0$	\(4\)	\(1\)	\(-1\)	\(4\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{2}q^{3}+q^{4}+\beta _{1}q^{5}+\beta _{2}q^{6}+\cdots\)
406.2.c.a	$406$	$2$	406.c	29.b	$2$	$2$	$2$	$3.242$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(2\)	\(2\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{2}+iq^{3}-q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
406.2.c.b	$406$	$2$	406.c	29.b	$2$	$6$	$6$	$3.242$	6.0.2611456.1	None		$2$	$0$	\(0\)	\(0\)	\(-8\)	\(6\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{3}q^{2}+(\beta _{4}-\beta _{5})q^{3}-q^{4}+(-1+\cdots)q^{5}+\cdots\)
406.2.c.c	$406$	$2$	406.c	29.b	$2$	$8$	$8$	$3.242$	\(\mathbb{Q}[x]/(x^{8} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(6\)	\(-8\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{4}q^{2}+\beta _{1}q^{3}-q^{4}+(1+\beta _{2}-\beta _{6}+\cdots)q^{5}+\cdots\)
406.2.e.a	$406$	$2$	406.e	7.c	$3$	$10$	$5$	$3.242$	10.0.\(\cdots\).1	None		$2$	$0$	\(-5\)	\(-3\)	\(-7\)	\(-3\)		$3$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-1+\beta _{4})q^{2}+(-\beta _{3}-\beta _{4})q^{3}-\beta _{4}q^{4}+\cdots\)
406.2.e.b	$406$	$2$	406.e	7.c	$3$	$10$	$5$	$3.242$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None		$2$	$0$	\(-5\)	\(3\)	\(7\)	\(-3\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-1-\beta _{6})q^{2}+(-\beta _{1}-\beta _{6})q^{3}+\beta _{6}q^{4}+\cdots\)
406.2.e.c	$406$	$2$	406.e	7.c	$3$	$10$	$5$	$3.242$	10.0.\(\cdots\).1	None		$2$	$0$	\(5\)	\(-3\)	\(-5\)	\(1\)		$3$	$\mathrm{SU}(2)[C_{3}]$	\(q+\beta _{6}q^{2}+(-\beta _{1}-\beta _{7})q^{3}+(-1+\beta _{6}+\cdots)q^{4}+\cdots\)
406.2.e.d	$406$	$2$	406.e	7.c	$3$	$10$	$5$	$3.242$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None		$2$	$0$	\(5\)	\(3\)	\(1\)	\(1\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-\beta _{6}q^{2}+(1-\beta _{5}+\beta _{6})q^{3}+(-1-\beta _{6}+\cdots)q^{4}+\cdots\)
406.2.g.a	$406$	$2$	406.g	203.g	$4$	$40$	$20$	$3.242$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
406.2.i.a	$406$	$2$	406.i	203.j	$6$	$40$	$20$	$3.242$		None		$4$	$0$	\(0\)	\(0\)	\(-4\)	\(4\)			$\mathrm{SU}(2)[C_{6}]$
406.2.k.a	$406$	$2$	406.k	29.d	$7$	$18$	$3$	$3.242$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None		$2$	$0$	\(-3\)	\(-3\)	\(8\)	\(3\)		$1$	$\mathrm{SU}(2)[C_{7}]$	\(q+\beta _{11}q^{2}+(1-\beta _{1}-\beta _{4}-\beta _{6}+\beta _{7}+\cdots)q^{3}+\cdots\)
406.2.k.b	$406$	$2$	406.k	29.d	$7$	$18$	$3$	$3.242$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None		$2$	$0$	\(-3\)	\(3\)	\(0\)	\(-3\)		$1$	$\mathrm{SU}(2)[C_{7}]$	\(q-\beta _{10}q^{2}-\beta _{6}q^{3}+(-1+\beta _{9}+\beta _{10}+\cdots)q^{4}+\cdots\)
406.2.k.c	$406$	$2$	406.k	29.d	$7$	$24$	$4$	$3.242$		None		$2$	$0$	\(4\)	\(-1\)	\(2\)	\(4\)			$\mathrm{SU}(2)[C_{7}]$
406.2.k.d	$406$	$2$	406.k	29.d	$7$	$24$	$4$	$3.242$		None		$2$	$0$	\(4\)	\(1\)	\(-6\)	\(-4\)			$\mathrm{SU}(2)[C_{7}]$
406.2.l.a	$406$	$2$	406.l	203.l	$12$	$80$	$20$	$3.242$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{12}]$
406.2.o.a	$406$	$2$	406.o	29.e	$14$	$48$	$8$	$3.242$		None		$2$	$0$	\(0\)	\(0\)	\(-8\)	\(-8\)			$\mathrm{SU}(2)[C_{14}]$
406.2.o.b	$406$	$2$	406.o	29.e	$14$	$48$	$8$	$3.242$		None		$2$	$0$	\(0\)	\(0\)	\(8\)	\(8\)			$\mathrm{SU}(2)[C_{14}]$
406.2.q.a	$406$	$2$	406.q	203.q	$21$	$12$	$1$	$3.242$	\(\Q(\zeta_{21})\)	None		$4$	$0$	\(-1\)	\(-1\)	\(0\)	\(-5\)		$1$	$\mathrm{SU}(2)[C_{21}]$	\(q+(\zeta_{21}^{3}+\zeta_{21}^{10})q^{2}+(1+\zeta_{21}-\zeta_{21}^{2}+\cdots)q^{3}+\cdots\)
406.2.q.b	$406$	$2$	406.q	203.q	$21$	$108$	$9$	$3.242$		None		$4$	$0$	\(-9\)	\(1\)	\(-3\)	\(10\)			$\mathrm{SU}(2)[C_{21}]$
406.2.q.c	$406$	$2$	406.q	203.q	$21$	$120$	$10$	$3.242$		None		$4$	$0$	\(10\)	\(0\)	\(7\)	\(-1\)			$\mathrm{SU}(2)[C_{21}]$
406.2.r.a	$406$	$2$	406.r	203.r	$28$	$240$	$20$	$3.242$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{28}]$
406.2.u.a	$406$	$2$	406.u	203.t	$42$	$240$	$20$	$3.242$		None		$4$	$0$	\(0\)	\(0\)	\(4\)	\(-4\)			$\mathrm{SU}(2)[C_{42}]$
406.2.x.a	$406$	$2$	406.x	203.x	$84$	$480$	$20$	$3.242$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{84}]$
406.3.b.a	$406$	$3$	406.b	7.b	$2$	$40$	$40$	$11.063$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(8\)			$\mathrm{SU}(2)[C_{2}]$
406.3.d.a	$406$	$3$	406.d	203.c	$2$	$40$	$40$	$11.063$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-8\)			$\mathrm{SU}(2)[C_{2}]$
406.3.f.a	$406$	$3$	406.f	29.c	$4$	$28$	$14$	$11.063$		None		$2$	$0$	\(-28\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
406.3.f.b	$406$	$3$	406.f	29.c	$4$	$32$	$16$	$11.063$		None		$2$	$0$	\(32\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
406.3.h.a	$406$	$3$	406.h	203.i	$6$	$80$	$40$	$11.063$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(8\)			$\mathrm{SU}(2)[C_{6}]$
406.3.j.a	$406$	$3$	406.j	7.d	$6$	$72$	$36$	$11.063$		None		$2$	$0$	\(0\)	\(12\)	\(12\)	\(-24\)			$\mathrm{SU}(2)[C_{6}]$
406.3.m.a	$406$	$3$	406.m	203.m	$12$	$4$	$1$	$11.063$	\(\Q(\zeta_{12})\)	None		$4$	$0$	\(2\)	\(6\)	\(0\)	\(-14\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(1+\zeta_{12}-\zeta_{12}^{2})q^{2}+(-3\zeta_{12}+3\zeta_{12}^{2}+\cdots)q^{3}+\cdots\)
406.3.m.b	$406$	$3$	406.m	203.m	$12$	$76$	$19$	$11.063$		None		$4$	$0$	\(38\)	\(-10\)	\(0\)	\(22\)			$\mathrm{SU}(2)[C_{12}]$
406.3.m.c	$406$	$3$	406.m	203.m	$12$	$80$	$20$	$11.063$		None		$4$	$0$	\(-40\)	\(4\)	\(0\)	\(-8\)			$\mathrm{SU}(2)[C_{12}]$
406.3.n.a	$406$	$3$	406.n	203.o	$14$	$240$	$40$	$11.063$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(8\)			$\mathrm{SU}(2)[C_{14}]$
406.3.p.a	$406$	$3$	406.p	203.n	$14$	$240$	$40$	$11.063$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-8\)			$\mathrm{SU}(2)[C_{14}]$
406.3.s.a	$406$	$3$	406.s	29.f	$28$	$84$	$7$	$11.063$		None		$2$	$0$	\(14\)	\(-14\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{28}]$
406.3.s.b	$406$	$3$	406.s	29.f	$28$	$84$	$7$	$11.063$		None		$2$	$0$	\(14\)	\(14\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{28}]$
406.3.s.c	$406$	$3$	406.s	29.f	$28$	$96$	$8$	$11.063$		None		$2$	$0$	\(-16\)	\(-14\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{28}]$
406.3.s.d	$406$	$3$	406.s	29.f	$28$	$96$	$8$	$11.063$		None		$2$	$0$	\(-16\)	\(14\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{28}]$
406.3.t.a	$406$	$3$	406.t	203.v	$42$	$480$	$40$	$11.063$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(8\)			$\mathrm{SU}(2)[C_{42}]$
406.3.v.a	$406$	$3$	406.v	203.u	$42$	$480$	$40$	$11.063$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-8\)			$\mathrm{SU}(2)[C_{42}]$
406.3.w.a	$406$	$3$	406.w	203.w	$84$	$480$	$20$	$11.063$		None		$4$	$0$	\(-40\)	\(4\)	\(-28\)	\(34\)			$\mathrm{SU}(2)[C_{84}]$
406.3.w.b	$406$	$3$	406.w	203.w	$84$	$480$	$20$	$11.063$		None		$4$	$0$	\(40\)	\(-4\)	\(28\)	\(-34\)			$\mathrm{SU}(2)[C_{84}]$
406.4.a.a	$406$	$4$	406.a	1.a	$1$	$2$	$2$	$23.955$	\(\Q(\sqrt{15}) \)	None	✓	$1$	$1$	\(4\)	\(-8\)	\(-2\)	\(14\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+(-4+\beta )q^{3}+4q^{4}-q^{5}+\cdots\)
406.4.a.b	$406$	$4$	406.a	1.a	$1$	$3$	$3$	$23.955$	3.3.6940.1	None	✓	$1$	$0$	\(-6\)	\(-6\)	\(0\)	\(-21\)	$+$	$2\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q-2q^{2}-2q^{3}+4q^{4}-\beta _{2}q^{5}+4q^{6}+\cdots\)