Newform search results

Results (1-50 of 8561 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
101.3.c.a	$101$	$3$	101.c	101.c	$4$	$32$	$16$	$2.752$		None		$2$	$0$	\(-4\)	\(-2\)	\(8\)	\(-4\)		$\mathrm{SU}(2)[C_{4}]$
101.3.f.a	$101$	$3$	101.f	101.f	$20$	$128$	$16$	$2.752$		None		$2$	$0$	\(-6\)	\(-8\)	\(-18\)	\(-6\)		$\mathrm{SU}(2)[C_{20}]$
101.3.i.a	$101$	$3$	101.i	101.i	$100$	$640$	$16$	$2.752$		None		$2$	$0$	\(-40\)	\(-40\)	\(-40\)	\(-40\)		$\mathrm{SU}(2)[C_{100}]$
102.3.c.a	$102$	$3$	102.c	3.b	$2$	$12$	$12$	$2.779$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None		$2$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)	$2\cdot 3$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{3}q^{2}+\beta _{9}q^{3}-2q^{4}+(-\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots\)
102.3.d.a	$102$	$3$	102.d	51.c	$2$	$12$	$12$	$2.779$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{2}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{3}q^{2}+\beta _{1}q^{3}-2q^{4}-\beta _{8}q^{5}+\beta _{10}q^{6}+\cdots\)
102.3.e.a	$102$	$3$	102.e	51.f	$4$	$4$	$2$	$2.779$	\(\Q(\zeta_{8})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-20\)	$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(-\zeta_{8}+\zeta_{8}^{3})q^{2}-3\zeta_{8}^{3}q^{3}+2q^{4}+\cdots\)
102.3.e.b	$102$	$3$	102.e	51.f	$4$	$20$	$10$	$2.779$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None		$4$	$0$	\(0\)	\(4\)	\(0\)	\(20\)	$2^{8}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{4}]$	\(q-\beta _{2}q^{2}+\beta _{13}q^{3}+2q^{4}+(-\beta _{2}-\beta _{5}+\cdots)q^{5}+\cdots\)
102.3.g.a	$102$	$3$	102.g	51.g	$8$	$24$	$6$	$2.779$		None		$2$	$0$	\(-24\)	\(-4\)	\(8\)	\(0\)		$\mathrm{SU}(2)[C_{8}]$
102.3.g.b	$102$	$3$	102.g	51.g	$8$	$24$	$6$	$2.779$		None		$2$	$0$	\(24\)	\(4\)	\(-8\)	\(0\)		$\mathrm{SU}(2)[C_{8}]$
102.3.j.a	$102$	$3$	102.j	17.e	$16$	$16$	$2$	$2.779$	16.0.\(\cdots\).2	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(16\)	$1$	$\mathrm{SU}(2)[C_{16}]$	\(q+(\beta _{2}-\beta _{10})q^{2}-\beta _{9}q^{3}-2\beta _{12}q^{4}+\cdots\)
102.3.j.b	$102$	$3$	102.j	17.e	$16$	$32$	$4$	$2.779$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-16\)		$\mathrm{SU}(2)[C_{16}]$
103.3.b.a	$103$	$3$	103.b	103.b	$2$	$5$	$5$	$2.807$	5.5.33153125.1	\(\Q(\sqrt{-103}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{2}+(4+\beta _{1}+\beta _{4})q^{4}+(-4\beta _{1}+\cdots)q^{7}+\cdots\)
103.3.b.b	$103$	$3$	103.b	103.b	$2$	$12$	$12$	$2.807$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	None		$2$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{9}q^{2}-\beta _{1}q^{3}+(1+\beta _{8})q^{4}+\beta _{2}q^{5}+\cdots\)
103.3.d.a	$103$	$3$	103.d	103.d	$6$	$32$	$16$	$2.807$		None		$2$	$0$	\(-1\)	\(0\)	\(-3\)	\(5\)		$\mathrm{SU}(2)[C_{6}]$
103.3.f.a	$103$	$3$	103.f	103.f	$34$	$272$	$17$	$2.807$		None		$2$	$0$	\(-15\)	\(-17\)	\(-17\)	\(-17\)		$\mathrm{SU}(2)[C_{34}]$
103.3.h.a	$103$	$3$	103.h	103.h	$102$	$512$	$16$	$2.807$		None		$2$	$0$	\(-33\)	\(-34\)	\(-31\)	\(-39\)		$\mathrm{SU}(2)[C_{102}]$
104.3.g.a	$104$	$3$	104.g	8.d	$2$	$24$	$24$	$2.834$		None		$2$	$0$	\(2\)	\(0\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{2}]$
104.3.h.a	$104$	$3$	104.h	104.h	$2$	$3$	$3$	$2.834$	3.3.2808.1	\(\Q(\sqrt{-26}) \)	✓	$2$	$0$	\(-6\)	\(0\)	\(0\)	\(0\)	$2$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{2}+\beta _{2}q^{3}+4q^{4}+(\beta _{1}+\beta _{2})q^{5}+\cdots\)
104.3.h.b	$104$	$3$	104.h	104.h	$2$	$3$	$3$	$2.834$	3.3.2808.1	\(\Q(\sqrt{-26}) \)	✓	$2$	$0$	\(6\)	\(0\)	\(0\)	\(0\)	$2$	$\mathrm{U}(1)[D_{2}]$	\(q+2q^{2}+\beta _{2}q^{3}+4q^{4}+(-\beta _{1}-\beta _{2})q^{5}+\cdots\)
104.3.h.c	$104$	$3$	104.h	104.h	$2$	$20$	$20$	$2.834$	\(\mathbb{Q}[x]/(x^{20} + \cdots)\)	None		$4$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)	$2^{15}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+\beta _{5}q^{3}+(-1+\beta _{4})q^{4}+\beta _{11}q^{5}+\cdots\)
104.3.j.a	$104$	$3$	104.j	104.j	$4$	$52$	$26$	$2.834$		None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(-4\)		$\mathrm{SU}(2)[C_{4}]$
104.3.l.a	$104$	$3$	104.l	13.d	$4$	$2$	$1$	$2.834$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(4\)	\(10\)	\(-6\)	$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+2q^{3}+(5+5i)q^{5}+(-3+3i)q^{7}+\cdots\)
104.3.l.b	$104$	$3$	104.l	13.d	$4$	$6$	$3$	$2.834$	6.0.891380736.2	None		$2$	$0$	\(0\)	\(-4\)	\(-14\)	\(16\)	$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(-1-\beta _{1}+\beta _{2})q^{3}+(-2+\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots\)
104.3.l.c	$104$	$3$	104.l	13.d	$4$	$6$	$3$	$2.834$	6.0.195552256.1	None		$2$	$0$	\(0\)	\(0\)	\(2\)	\(6\)	$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+\beta _{3}q^{3}-\beta _{4}q^{5}+(2+\beta _{1}-2\beta _{2}+\beta _{3}+\cdots)q^{7}+\cdots\)
104.3.n.a	$104$	$3$	104.n	104.n	$6$	$4$	$2$	$2.834$	\(\Q(\sqrt{-3}, \sqrt{13})\)	None		$4$	$0$	\(4\)	\(-8\)	\(0\)	\(0\)	$2^{2}$	$\mathrm{SU}(2)[C_{6}]$	\(q+(2-2\beta _{1})q^{2}+(-4+4\beta _{1})q^{3}-4\beta _{1}q^{4}+\cdots\)
104.3.n.b	$104$	$3$	104.n	104.n	$6$	$48$	$24$	$2.834$		None		$4$	$0$	\(-5\)	\(6\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{6}]$
104.3.p.a	$104$	$3$	104.p	104.p	$6$	$2$	$1$	$2.834$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(-4\)	\(-1\)	\(4\)	\(-5\)	$1$	$\mathrm{SU}(2)[C_{6}]$	\(q-2q^{2}+(-1+\zeta_{6})q^{3}+4q^{4}+2q^{5}+\cdots\)
104.3.p.b	$104$	$3$	104.p	104.p	$6$	$2$	$1$	$2.834$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(-2\)	\(-1\)	\(-4\)	\(5\)	$1$	$\mathrm{SU}(2)[C_{6}]$	\(q-2\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-4+4\zeta_{6})q^{4}+\cdots\)
104.3.p.c	$104$	$3$	104.p	104.p	$6$	$4$	$2$	$2.834$	\(\Q(\sqrt{-3}, \sqrt{13})\)	None		$4$	$0$	\(3\)	\(4\)	\(0\)	\(0\)	$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(1-\beta _{1})q^{2}+(2+2\beta _{2})q^{3}+(-\beta _{1}+\cdots)q^{4}+\cdots\)
104.3.p.d	$104$	$3$	104.p	104.p	$6$	$44$	$22$	$2.834$		None		$4$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{6}]$
104.3.v.a	$104$	$3$	104.v	13.f	$12$	$4$	$1$	$2.834$	\(\Q(\zeta_{12})\)	None		$2$	$0$	\(0\)	\(4\)	\(0\)	\(-2\)	$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(\zeta_{12}+2\zeta_{12}^{2}+\zeta_{12}^{3})q^{3}+(3+6\zeta_{12}+\cdots)q^{5}+\cdots\)
104.3.v.b	$104$	$3$	104.v	13.f	$12$	$4$	$1$	$2.834$	\(\Q(\zeta_{12})\)	None		$2$	$0$	\(0\)	\(4\)	\(6\)	\(16\)	$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(-2\zeta_{12}+2\zeta_{12}^{2}-2\zeta_{12}^{3})q^{3}+\cdots\)
104.3.v.c	$104$	$3$	104.v	13.f	$12$	$8$	$2$	$2.834$	8.0.\(\cdots\).1	None		$2$	$0$	\(0\)	\(-8\)	\(-2\)	\(-36\)	$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(-2-\beta _{2}-2\beta _{3}+\beta _{5})q^{3}+(\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots\)
104.3.v.d	$104$	$3$	104.v	13.f	$12$	$12$	$3$	$2.834$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(-2\)	\(6\)	$2^{2}$	$\mathrm{SU}(2)[C_{12}]$	\(q+\beta _{7}q^{3}+(-1+\beta _{2}-\beta _{3}+2\beta _{4}+2\beta _{5}+\cdots)q^{5}+\cdots\)
104.3.x.a	$104$	$3$	104.x	104.x	$12$	$104$	$26$	$2.834$		None		$4$	$0$	\(-4\)	\(0\)	\(0\)	\(-8\)		$\mathrm{SU}(2)[C_{12}]$
105.3.c.a	$105$	$3$	105.c	3.b	$2$	$16$	$16$	$2.861$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	None		$2$	$0$	\(0\)	\(8\)	\(0\)	\(0\)	$2^{10}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+(1-\beta _{4})q^{3}+(-2+\beta _{7}-\beta _{8}+\cdots)q^{4}+\cdots\)
105.3.e.a	$105$	$3$	105.e	35.c	$2$	$16$	$16$	$2.861$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{12}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{3}q^{2}+\beta _{2}q^{3}+(-2+\beta _{4})q^{4}+(-\beta _{8}+\cdots)q^{5}+\cdots\)
105.3.f.a	$105$	$3$	105.f	15.d	$2$	$24$	$24$	$2.861$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{2}]$
105.3.h.a	$105$	$3$	105.h	7.b	$2$	$12$	$12$	$2.861$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None		$2$	$0$	\(-4\)	\(0\)	\(0\)	\(-8\)	$2^{10}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{4}q^{2}-\beta _{3}q^{3}+(4-\beta _{1})q^{4}+\beta _{8}q^{5}+\cdots\)
105.3.k.a	$105$	$3$	105.k	105.k	$4$	$4$	$2$	$2.861$	\(\Q(\zeta_{8})\)	None		$4$	$0$	\(0\)	\(-8\)	\(0\)	\(-28\)	$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+\zeta_{8}q^{2}+(-2-\zeta_{8}+2\zeta_{8}^{2})q^{3}-3\zeta_{8}^{2}q^{4}+\cdots\)
105.3.k.b	$105$	$3$	105.k	105.k	$4$	$4$	$2$	$2.861$	\(\Q(\zeta_{8})\)	None		$4$	$0$	\(0\)	\(8\)	\(0\)	\(0\)	$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+\zeta_{8}q^{2}+(2+\zeta_{8}-2\zeta_{8}^{2})q^{3}-3\zeta_{8}^{2}q^{4}+\cdots\)
105.3.k.c	$105$	$3$	105.k	105.k	$4$	$16$	$8$	$2.861$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(32\)	$2^{2}$	$\mathrm{SU}(2)[C_{4}]$	\(q-\beta _{1}q^{2}+(\beta _{7}+\beta _{10}-\beta _{13}+\beta _{15})q^{3}+\cdots\)
105.3.k.d	$105$	$3$	105.k	105.k	$4$	$32$	$16$	$2.861$		None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{4}]$
105.3.l.a	$105$	$3$	105.l	5.c	$4$	$24$	$12$	$2.861$		None		$2$	$0$	\(8\)	\(0\)	\(16\)	\(0\)		$\mathrm{SU}(2)[C_{4}]$
105.3.n.a	$105$	$3$	105.n	7.d	$6$	$8$	$4$	$2.861$	8.0.\(\cdots\).16	None		$2$	$0$	\(2\)	\(-12\)	\(0\)	\(-16\)	$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+\beta _{1}q^{2}+(-1+\beta _{4})q^{3}+(-1+\beta _{1}+\cdots)q^{4}+\cdots\)
105.3.n.b	$105$	$3$	105.n	7.d	$6$	$12$	$6$	$2.861$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None		$2$	$0$	\(2\)	\(18\)	\(0\)	\(22\)	$2^{2}\cdot 3^{2}\cdot 7$	$\mathrm{SU}(2)[C_{6}]$	\(q+(-\beta _{2}-\beta _{10})q^{2}+(2+\beta _{3})q^{3}+(4\beta _{3}+\cdots)q^{4}+\cdots\)
105.3.o.a	$105$	$3$	105.o	105.o	$6$	$16$	$8$	$2.861$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{2}\cdot 3^{4}$	$\mathrm{SU}(2)[C_{6}]$	\(q+\beta _{6}q^{2}+(-\beta _{3}-\beta _{9}+\beta _{13})q^{3}+(-1+\cdots)q^{4}+\cdots\)
105.3.o.b	$105$	$3$	105.o	105.o	$6$	$40$	$20$	$2.861$		None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{6}]$
105.3.r.a	$105$	$3$	105.r	35.i	$6$	$32$	$16$	$2.861$		None		$4$	$0$	\(0\)	\(0\)	\(-6\)	\(0\)		$\mathrm{SU}(2)[C_{6}]$
105.3.t.a	$105$	$3$	105.t	21.h	$6$	$8$	$4$	$2.861$	8.0.3317760000.8	None		$4$	$0$	\(0\)	\(-4\)	\(0\)	\(56\)	$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(\beta _{2}-\beta _{4}-\beta _{5})q^{2}+(-1+\beta _{3}+\beta _{5}+\cdots)q^{3}+\cdots\)