Newform search results

Results (1-50 of 6804 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
102.9.c.a	$102$	$9$	102.c	3.b	$2$	$44$	$44$	$41.553$		None		$2$	$0$	\(0\)	\(140\)	\(0\)	\(-11144\)		$\mathrm{SU}(2)[C_{2}]$
102.9.d.a	$102$	$9$	102.d	51.c	$2$	$48$	$48$	$41.553$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{2}]$
102.9.e.a	$102$	$9$	102.e	51.f	$4$	$96$	$48$	$41.553$		None		$4$	$0$	\(0\)	\(112\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{4}]$
103.9.b.a	$103$	$9$	103.b	103.b	$2$	$5$	$5$	$41.960$	5.5.33153125.1	\(\Q(\sqrt{-103}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$3^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q+(6\beta _{2}-\beta _{3})q^{2}+(2^{8}-65\beta _{1}+14\beta _{4})q^{4}+\cdots\)
103.9.b.b	$103$	$9$	103.b	103.b	$2$	$64$	$64$	$41.960$		None		$2$	$0$	\(-2\)	\(0\)	\(0\)	\(-5152\)		$\mathrm{SU}(2)[C_{2}]$
104.9.g.a	$104$	$9$	104.g	8.d	$2$	$96$	$96$	$42.367$		None		$2$	$0$	\(-6\)	\(0\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{2}]$
104.9.l.a	$104$	$9$	104.l	13.d	$4$	$28$	$14$	$42.367$		None		$2$	$0$	\(0\)	\(0\)	\(-756\)	\(-2608\)		$\mathrm{SU}(2)[C_{4}]$
104.9.l.b	$104$	$9$	104.l	13.d	$4$	$28$	$14$	$42.367$		None		$2$	$0$	\(0\)	\(0\)	\(-84\)	\(-400\)		$\mathrm{SU}(2)[C_{4}]$
105.9.c.a	$105$	$9$	105.c	3.b	$2$	$64$	$64$	$42.775$		None		$2$	$0$	\(0\)	\(224\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{2}]$
105.9.e.a	$105$	$9$	105.e	35.c	$2$	$64$	$64$	$42.775$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{2}]$
105.9.f.a	$105$	$9$	105.f	15.d	$2$	$96$	$96$	$42.775$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{2}]$
105.9.h.a	$105$	$9$	105.h	7.b	$2$	$44$	$44$	$42.775$		None		$2$	$0$	\(12\)	\(0\)	\(0\)	\(3464\)		$\mathrm{SU}(2)[C_{2}]$
105.9.l.a	$105$	$9$	105.l	5.c	$4$	$96$	$48$	$42.775$		None		$2$	$0$	\(0\)	\(0\)	\(-1344\)	\(0\)		$\mathrm{SU}(2)[C_{4}]$
105.9.n.a	$105$	$9$	105.n	7.d	$6$	$40$	$20$	$42.775$		None		$2$	$0$	\(-6\)	\(1620\)	\(0\)	\(3204\)		$\mathrm{SU}(2)[C_{6}]$
105.9.n.b	$105$	$9$	105.n	7.d	$6$	$44$	$22$	$42.775$		None		$2$	$0$	\(-6\)	\(-1782\)	\(0\)	\(-4822\)		$\mathrm{SU}(2)[C_{6}]$
106.9.c.a	$106$	$9$	106.c	53.c	$4$	$36$	$18$	$43.182$		None		$2$	$0$	\(-288\)	\(-70\)	\(-14\)	\(0\)		$\mathrm{SU}(2)[C_{4}]$
106.9.c.b	$106$	$9$	106.c	53.c	$4$	$36$	$18$	$43.182$		None		$2$	$0$	\(288\)	\(-70\)	\(1106\)	\(0\)		$\mathrm{SU}(2)[C_{4}]$
107.9.b.a	$107$	$9$	107.b	107.b	$2$	$3$	$3$	$43.590$	3.3.321.1	\(\Q(\sqrt{-107}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$3\cdot 7$	$\mathrm{U}(1)[D_{2}]$	\(q+(-2^{4}\beta _{1}-5\beta _{2})q^{3}+2^{8}q^{4}+(3^{8}+\cdots)q^{9}+\cdots\)
107.9.b.b	$107$	$9$	107.b	107.b	$2$	$68$	$68$	$43.590$		None		$2$	$0$	\(0\)	\(110\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{2}]$
108.9.c.a	$108$	$9$	108.c	3.b	$2$	$1$	$1$	$43.997$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-4273\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-4273q^{7}-20641q^{13}+157967q^{19}+\cdots\)
108.9.c.b	$108$	$9$	108.c	3.b	$2$	$2$	$2$	$43.997$	\(\Q(\sqrt{-30}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-14\)	$2\cdot 3^{2}\cdot 7$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta q^{5}-7q^{7}+19\beta q^{11}-769q^{13}+\cdots\)
108.9.c.c	$108$	$9$	108.c	3.b	$2$	$2$	$2$	$43.997$	\(\Q(\sqrt{-6}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(5278\)	$2^{5}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta q^{5}+2639q^{7}-35\beta q^{11}+13919q^{13}+\cdots\)
108.9.c.d	$108$	$9$	108.c	3.b	$2$	$6$	$6$	$43.997$	\(\mathbb{Q}[x]/(x^{6} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(1470\)	$2^{9}\cdot 3^{24}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{5}+(245+\beta _{3})q^{7}+(-6\beta _{1}+\beta _{4}+\cdots)q^{11}+\cdots\)
108.9.d.a	$108$	$9$	108.d	4.b	$2$	$32$	$32$	$43.997$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{2}]$
108.9.d.b	$108$	$9$	108.d	4.b	$2$	$32$	$32$	$43.997$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{2}]$
108.9.f.a	$108$	$9$	108.f	36.f	$6$	$92$	$46$	$43.997$		None		$4$	$0$	\(1\)	\(0\)	\(2\)	\(0\)		$\mathrm{SU}(2)[C_{6}]$
108.9.g.a	$108$	$9$	108.g	9.d	$6$	$16$	$8$	$43.997$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(-441\)	\(923\)	$2^{20}\cdot 3^{44}$	$\mathrm{SU}(2)[C_{6}]$	\(q+(-19+\beta _{1}+\beta _{5}+19\beta _{6})q^{5}+(-115\beta _{6}+\cdots)q^{7}+\cdots\)
110.9.c.a	$110$	$9$	110.c	55.d	$2$	$48$	$48$	$44.812$		None		$4$	$0$	\(0\)	\(0\)	\(-822\)	\(0\)		$\mathrm{SU}(2)[C_{2}]$
110.9.d.a	$110$	$9$	110.d	11.b	$2$	$32$	$32$	$44.812$		None		$2$	$0$	\(0\)	\(-224\)	\(0\)	\(0\)		$\mathrm{SU}(2)[C_{2}]$
110.9.e.a	$110$	$9$	110.e	5.c	$4$	$40$	$20$	$44.812$		None		$2$	$0$	\(-320\)	\(-38\)	\(-560\)	\(3936\)		$\mathrm{SU}(2)[C_{4}]$
110.9.e.b	$110$	$9$	110.e	5.c	$4$	$40$	$20$	$44.812$		None		$2$	$0$	\(320\)	\(-102\)	\(-112\)	\(-3936\)		$\mathrm{SU}(2)[C_{4}]$
111.9.b.a	$111$	$9$	111.b	3.b	$2$	$96$	$96$	$45.219$		None		$2$	$0$	\(0\)	\(-112\)	\(0\)	\(-160\)		$\mathrm{SU}(2)[C_{2}]$
111.9.d.a	$111$	$9$	111.d	111.d	$2$	$1$	$1$	$45.219$	\(\Q\)	\(\Q(\sqrt{-111}) \)	✓	$2$	$0$	\(-5\)	\(81\)	\(1102\)	\(-2302\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-5q^{2}+3^{4}q^{3}-231q^{4}+1102q^{5}+\cdots\)
111.9.d.b	$111$	$9$	111.d	111.d	$2$	$1$	$1$	$45.219$	\(\Q\)	\(\Q(\sqrt{-111}) \)	✓	$2$	$0$	\(5\)	\(81\)	\(-1102\)	\(-2302\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+5q^{2}+3^{4}q^{3}-231q^{4}-1102q^{5}+\cdots\)
111.9.d.c	$111$	$9$	111.d	111.d	$2$	$2$	$2$	$45.219$	\(\Q(\sqrt{111}) \)	\(\Q(\sqrt{-111}) \)	✓	$4$	$0$	\(0\)	\(162\)	\(0\)	\(4604\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+3\beta q^{2}+3^{4}q^{3}+743q^{4}-56\beta q^{5}+\cdots\)
111.9.d.d	$111$	$9$	111.d	111.d	$2$	$4$	$4$	$45.219$	\(\Q(\sqrt{2}, \sqrt{111})\)	\(\Q(\sqrt{-111}) \)	✓	$4$	$0$	\(0\)	\(-324\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+(-3\beta _{1}-\beta _{2})q^{2}-3^{4}q^{3}+(2^{8}+15\beta _{3})q^{4}+\cdots\)
111.9.d.e	$111$	$9$	111.d	111.d	$2$	$92$	$92$	$45.219$		None		$4$	$0$	\(0\)	\(-72\)	\(0\)	\(7152\)		$\mathrm{SU}(2)[C_{2}]$
111.9.f.a	$111$	$9$	111.f	37.d	$4$	$100$	$50$	$45.219$		None		$2$	$0$	\(-12\)	\(0\)	\(336\)	\(0\)		$\mathrm{SU}(2)[C_{4}]$
112.9.c.a	$112$	$9$	112.c	7.b	$2$	$1$	$1$	$45.626$	\(\Q\)	\(\Q(\sqrt{-7}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-2401\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-7^{4}q^{7}+3^{8}q^{9}-13154q^{11}+20926q^{23}+\cdots\)
112.9.c.b	$112$	$9$	112.c	7.b	$2$	$4$	$4$	$45.626$	\(\mathbb{Q}[x]/(x^{4} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-1428\)	$2^{4}\cdot 3\cdot 7$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{3}+(-2\beta _{1}-\beta _{2})q^{5}+(-357+\cdots)q^{7}+\cdots\)
112.9.c.c	$112$	$9$	112.c	7.b	$2$	$4$	$4$	$45.626$	4.0.3520512.3	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(6076\)	$2^{7}\cdot 3$	$\mathrm{SU}(2)[C_{2}]$	\(q+(2\beta _{1}-\beta _{2})q^{3}+(-7\beta _{1}-2\beta _{2})q^{5}+\cdots\)
112.9.c.d	$112$	$9$	112.c	7.b	$2$	$6$	$6$	$45.626$	\(\mathbb{Q}[x]/(x^{6} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-2166\)	$2^{12}\cdot 3^{2}\cdot 7^{3}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{3}+(3\beta _{1}+\beta _{2})q^{5}+(-19^{2}-\beta _{1}+\cdots)q^{7}+\cdots\)
112.9.c.e	$112$	$9$	112.c	7.b	$2$	$16$	$16$	$45.626$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(1424\)	$2^{94}\cdot 7^{7}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{3}+(\beta _{1}-\beta _{5})q^{5}+(89+2\beta _{1}+\cdots)q^{7}+\cdots\)
112.9.d.a	$112$	$9$	112.d	4.b	$2$	$8$	$8$	$45.626$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(924\)	\(0\)	$2^{18}\cdot 7^{9}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{3}+(116-\beta _{2})q^{5}+(-4\beta _{1}-\beta _{6}+\cdots)q^{7}+\cdots\)
112.9.d.b	$112$	$9$	112.d	4.b	$2$	$16$	$16$	$45.626$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(84\)	\(0\)	$2^{78}\cdot 3^{2}\cdot 7^{12}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{8}q^{3}+(5-\beta _{2})q^{5}+(\beta _{8}+\beta _{10})q^{7}+\cdots\)
112.9.r.a	$112$	$9$	112.r	28.g	$6$	$20$	$10$	$45.626$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None		$4$	$0$	\(0\)	\(0\)	\(-558\)	\(0\)	$2^{46}\cdot 3^{2}\cdot 7^{13}$	$\mathrm{SU}(2)[C_{6}]$	\(q+\beta _{1}q^{3}+(-56+56\beta _{2}+\beta _{3}+\beta _{7}+\cdots)q^{5}+\cdots\)
112.9.r.b	$112$	$9$	112.r	28.g	$6$	$22$	$11$	$45.626$		None		$2$	$0$	\(0\)	\(-81\)	\(279\)	\(4550\)		$\mathrm{SU}(2)[C_{6}]$
112.9.r.c	$112$	$9$	112.r	28.g	$6$	$22$	$11$	$45.626$		None		$2$	$0$	\(0\)	\(81\)	\(279\)	\(-4550\)		$\mathrm{SU}(2)[C_{6}]$
112.9.s.a	$112$	$9$	112.s	7.d	$6$	$8$	$4$	$45.626$	\(\mathbb{Q}[x]/(x^{8} + \cdots)\)	None		$2$	$0$	\(0\)	\(84\)	\(-840\)	\(140\)	$2^{6}\cdot 3\cdot 7^{2}$	$\mathrm{SU}(2)[C_{6}]$	\(q+(14+7\beta _{2}+\beta _{6})q^{3}+(-70-\beta _{1}+\cdots)q^{5}+\cdots\)
112.9.s.b	$112$	$9$	112.s	7.d	$6$	$10$	$5$	$45.626$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None		$2$	$0$	\(0\)	\(81\)	\(-837\)	\(-1526\)	$2^{12}\cdot 3^{6}\cdot 7^{6}$	$\mathrm{SU}(2)[C_{6}]$	\(q+(6+5\beta _{1}+\beta _{2})q^{3}+(-112+56\beta _{1}+\cdots)q^{5}+\cdots\)