Newform search results

Results (1-50 of 199 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
102.17.c.a	$102$	$17$	102.c	3.b	$2$	$84$	$84$	$165.571$		None		$2$	$0$	\(0\)	\(-15820\)	\(0\)	\(335784\)			$\mathrm{SU}(2)[C_{2}]$
102.17.d.a	$102$	$17$	102.d	51.c	$2$	$96$	$96$	$165.571$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
105.17.h.a	$105$	$17$	105.h	7.b	$2$	$84$	$84$	$170.441$		None		$2$	$0$	\(-372\)	\(0\)	\(0\)	\(4633016\)			$\mathrm{SU}(2)[C_{2}]$
108.17.c.a	$108$	$17$	108.c	3.b	$2$	$1$	$1$	$175.311$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(6728927\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+6728927q^{7}-1205410561q^{13}+\cdots\)
108.17.c.b	$108$	$17$	108.c	3.b	$2$	$4$	$4$	$175.311$	\(\mathbb{Q}[x]/(x^{4} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-13410628\)		$2^{18}\cdot 3^{10}\cdot 7$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{5}+(-3352657-7\beta _{3})q^{7}+\cdots\)
108.17.c.c	$108$	$17$	108.c	3.b	$2$	$6$	$6$	$175.311$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(3919350\)		$2^{27}\cdot 3^{25}\cdot 5^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{5}+(653225-\beta _{2})q^{7}+(2\beta _{1}+\cdots)q^{11}+\cdots\)
108.17.c.d	$108$	$17$	108.c	3.b	$2$	$10$	$10$	$175.311$	\(\mathbb{Q}[x]/(x^{10} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(7558610\)		$2^{34}\cdot 3^{70}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{5}q^{5}+(755861+\beta _{1})q^{7}+(-68\beta _{5}+\cdots)q^{11}+\cdots\)
108.17.g.a	$108$	$17$	108.g	9.d	$6$	$32$	$16$	$175.311$		None		$2$	$0$	\(0\)	\(0\)	\(-507591\)	\(220597\)			$\mathrm{SU}(2)[C_{6}]$
110.17.c.a	$110$	$17$	110.c	55.d	$2$	$96$	$96$	$178.557$		None		$4$	$0$	\(0\)	\(0\)	\(660918\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
110.17.d.a	$110$	$17$	110.d	11.b	$2$	$64$	$64$	$178.557$		None		$2$	$0$	\(0\)	\(-7616\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
112.17.c.a	$112$	$17$	112.c	7.b	$2$	$1$	$1$	$181.803$	\(\Q\)	\(\Q(\sqrt{-7}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-5764801\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-7^{8}q^{7}+3^{16}q^{9}+255690046q^{11}+\cdots\)
112.17.c.b	$112$	$17$	112.c	7.b	$2$	$8$	$8$	$181.803$	\(\mathbb{Q}[x]/(x^{8} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(3034472\)		$2^{23}\cdot 3^{5}\cdot 7^{6}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{3}+\beta _{3}q^{5}+(379309-119\beta _{1}+\cdots)q^{7}+\cdots\)
112.17.c.c	$112$	$17$	112.c	7.b	$2$	$10$	$10$	$181.803$	\(\mathbb{Q}[x]/(x^{10} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(2569126\)		$2^{41}\cdot 3^{8}\cdot 5^{2}\cdot 7^{11}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{3}+(-6\beta _{1}+\beta _{4})q^{5}+(256913+\cdots)q^{7}+\cdots\)
112.17.c.d	$112$	$17$	112.c	7.b	$2$	$12$	$12$	$181.803$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-222636\)		$2^{69}\cdot 3^{8}\cdot 7^{9}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{3}+(2\beta _{1}+\beta _{3})q^{5}+(-18553+\cdots)q^{7}+\cdots\)
112.17.c.e	$112$	$17$	112.c	7.b	$2$	$32$	$32$	$181.803$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(6450976\)			$\mathrm{SU}(2)[C_{2}]$
112.17.d.a	$112$	$17$	112.d	4.b	$2$	$16$	$16$	$181.803$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(322644\)	\(0\)		$2^{78}\cdot 3^{10}\cdot 7^{40}\cdot 13^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{3}+(20165+\beta _{2})q^{5}+(53\beta _{1}+\cdots)q^{7}+\cdots\)
112.17.d.b	$112$	$17$	112.d	4.b	$2$	$32$	$32$	$181.803$		None		$2$	$0$	\(0\)	\(0\)	\(-1385076\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
114.17.c.a	$114$	$17$	114.c	3.b	$2$	$96$	$96$	$185.050$		None		$2$	$0$	\(0\)	\(-15820\)	\(0\)	\(-767680\)			$\mathrm{SU}(2)[C_{2}]$
114.17.d.a	$114$	$17$	114.d	19.b	$2$	$52$	$52$	$185.050$		None		$2$	$0$	\(0\)	\(0\)	\(322524\)	\(-5176500\)			$\mathrm{SU}(2)[C_{2}]$
101.18.a.a	$101$	$18$	101.a	1.a	$1$	$67$	$67$	$185.054$		None	✓	$1$	$1$	\(15\)	\(-28522\)	\(-255679\)	\(-44929502\)	$+$		$\mathrm{SU}(2)$
101.18.a.b	$101$	$18$	101.a	1.a	$1$	$74$	$74$	$185.054$		None	✓	$1$	$0$	\(783\)	\(37088\)	\(1306821\)	\(24248110\)	$-$		$\mathrm{SU}(2)$
102.18.a.a	$102$	$18$	102.a	1.a	$1$	$5$	$5$	$186.887$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(-1280\)	\(-32805\)	\(529659\)	\(-5774936\)	$-$	$2^{8}\cdot 3^{5}$	$\mathrm{SU}(2)$	\(q-2^{8}q^{2}-3^{8}q^{3}+2^{16}q^{4}+(105932+\cdots)q^{5}+\cdots\)
102.18.a.b	$102$	$18$	102.a	1.a	$1$	$5$	$5$	$186.887$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(-1280\)	\(32805\)	\(-369009\)	\(-8876480\)	$+$	$2^{9}\cdot 3^{5}$	$\mathrm{SU}(2)$	\(q-2^{8}q^{2}+3^{8}q^{3}+2^{16}q^{4}+(-73802+\cdots)q^{5}+\cdots\)
102.18.a.c	$102$	$18$	102.a	1.a	$1$	$5$	$5$	$186.887$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(1280\)	\(-32805\)	\(369009\)	\(-2108480\)	$-$	$2^{8}\cdot 3^{6}$	$\mathrm{SU}(2)$	\(q+2^{8}q^{2}-3^{8}q^{3}+2^{16}q^{4}+(73802+\cdots)q^{5}+\cdots\)
102.18.a.d	$102$	$18$	102.a	1.a	$1$	$5$	$5$	$186.887$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(1280\)	\(-32805\)	\(442075\)	\(-29596664\)	$+$	$2^{8}\cdot 3^{3}$	$\mathrm{SU}(2)$	\(q+2^{8}q^{2}-3^{8}q^{3}+2^{16}q^{4}+(88415+\cdots)q^{5}+\cdots\)
102.18.a.e	$102$	$18$	102.a	1.a	$1$	$5$	$5$	$186.887$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(1280\)	\(32805\)	\(-529659\)	\(-7551464\)	$+$	$2^{7}\cdot 3^{6}$	$\mathrm{SU}(2)$	\(q+2^{8}q^{2}+3^{8}q^{3}+2^{16}q^{4}+(-105932+\cdots)q^{5}+\cdots\)
102.18.a.f	$102$	$18$	102.a	1.a	$1$	$6$	$6$	$186.887$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(-1536\)	\(-39366\)	\(-1105907\)	\(10183646\)	$+$	$2^{11}\cdot 3^{5}$	$\mathrm{SU}(2)$	\(q-2^{8}q^{2}-3^{8}q^{3}+2^{16}q^{4}+(-184318+\cdots)q^{5}+\cdots\)
102.18.a.g	$102$	$18$	102.a	1.a	$1$	$6$	$6$	$186.887$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(-1536\)	\(39366\)	\(-442075\)	\(30141306\)	$-$	$2^{10}\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q-2^{8}q^{2}+3^{8}q^{3}+2^{16}q^{4}+(-73679+\cdots)q^{5}+\cdots\)
102.18.a.h	$102$	$18$	102.a	1.a	$1$	$7$	$7$	$186.887$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(1792\)	\(45927\)	\(1105907\)	\(11078760\)	$-$	$2^{17}\cdot 3^{6}$	$\mathrm{SU}(2)$	\(q+2^{8}q^{2}+3^{8}q^{3}+2^{16}q^{4}+(157987+\cdots)q^{5}+\cdots\)
102.18.b.a	$102$	$18$	102.b	17.b	$2$	$24$	$24$	$186.887$		None		$2$	$0$	\(-6144\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
102.18.b.b	$102$	$18$	102.b	17.b	$2$	$26$	$26$	$186.887$		None		$2$	$0$	\(6656\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
102.18.f.a	$102$	$18$	102.f	17.c	$4$	$48$	$24$	$186.887$		None		$2$	$0$	\(0\)	\(0\)	\(1480360\)	\(-16342032\)			$\mathrm{SU}(2)[C_{4}]$
102.18.f.b	$102$	$18$	102.f	17.c	$4$	$52$	$26$	$186.887$		None		$2$	$0$	\(0\)	\(0\)	\(2709796\)	\(-21740680\)			$\mathrm{SU}(2)[C_{4}]$
116.17.f.a	$116$	$17$	116.f	29.c	$4$	$80$	$40$	$188.296$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
103.18.a.a	$103$	$18$	103.a	1.a	$1$	$70$	$70$	$188.719$		None	✓	$1$	$1$	\(-753\)	\(-23762\)	\(-2234097\)	\(-22054742\)	$+$		$\mathrm{SU}(2)$
103.18.a.b	$103$	$18$	103.a	1.a	$1$	$75$	$75$	$188.719$		None	✓	$1$	$0$	\(1807\)	\(15604\)	\(2453403\)	\(24063666\)	$-$		$\mathrm{SU}(2)$
117.17.c.a	$117$	$17$	117.c	3.b	$2$	$64$	$64$	$189.920$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-1535360\)			$\mathrm{SU}(2)[C_{2}]$
117.17.d.a	$117$	$17$	117.d	39.d	$2$	$76$	$76$	$189.920$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
104.18.a.a	$104$	$18$	104.a	1.a	$1$	$12$	$12$	$190.551$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-11592\)	\(-87584\)	\(5150320\)	$+$	$2^{69}\cdot 3^{8}\cdot 5\cdot 13^{2}$	$\mathrm{SU}(2)$	\(q+(-966+\beta _{1})q^{3}+(-7299+13\beta _{1}+\cdots)q^{5}+\cdots\)
104.18.a.b	$104$	$18$	104.a	1.a	$1$	$12$	$12$	$190.551$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(952\)	\(87584\)	\(-32001920\)	$+$	$2^{68}\cdot 3^{11}\cdot 13$	$\mathrm{SU}(2)$	\(q+(79+\beta _{1})q^{3}+(7298+\beta _{1}-\beta _{2})q^{5}+\cdots\)
104.18.a.c	$104$	$18$	104.a	1.a	$1$	$13$	$13$	$190.551$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(7513\)	\(-303041\)	\(24019125\)	$-$	$2^{84}\cdot 3^{10}\cdot 13$	$\mathrm{SU}(2)$	\(q+(578-\beta _{1})q^{3}+(-23311-\beta _{2})q^{5}+\cdots\)
104.18.a.d	$104$	$18$	104.a	1.a	$1$	$14$	$14$	$190.551$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-5031\)	\(1084291\)	\(26582559\)	$-$	$2^{95}\cdot 3^{11}\cdot 13^{2}$	$\mathrm{SU}(2)$	\(q+(-359-\beta _{1})q^{3}+(77449+\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
104.18.f.a	$104$	$18$	104.f	13.b	$2$	$60$	$60$	$190.551$		None		$2$	$0$	\(0\)	\(-13122\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
118.17.b.a	$118$	$17$	118.b	59.b	$2$	$80$	$80$	$191.543$		None		$2$	$0$	\(0\)	\(-19628\)	\(676788\)	\(-767680\)			$\mathrm{SU}(2)[C_{2}]$
105.18.a.a	$105$	$18$	105.a	1.a	$1$	$8$	$8$	$192.383$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-409\)	\(-52488\)	\(3125000\)	\(46118408\)	$+$	$2^{16}\cdot 3^{7}\cdot 5^{5}\cdot 7^{4}$	$\mathrm{SU}(2)$	\(q+(-51-\beta _{1})q^{2}-3^{8}q^{3}+(74144+\cdots)q^{4}+\cdots\)
105.18.a.b	$105$	$18$	105.a	1.a	$1$	$8$	$8$	$192.383$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-241\)	\(52488\)	\(3125000\)	\(-46118408\)	$+$	$2^{18}\cdot 3^{10}\cdot 5^{5}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(-30-\beta _{1})q^{2}+3^{8}q^{3}+(33688+\cdots)q^{4}+\cdots\)
105.18.a.c	$105$	$18$	105.a	1.a	$1$	$8$	$8$	$192.383$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(-52\)	\(-52488\)	\(3125000\)	\(-46118408\)	$-$	$2^{22}\cdot 3^{10}\cdot 5^{4}\cdot 7^{4}$	$\mathrm{SU}(2)$	\(q+(-6-\beta _{1})q^{2}-3^{8}q^{3}+(71847-3\beta _{1}+\cdots)q^{4}+\cdots\)
105.18.a.d	$105$	$18$	105.a	1.a	$1$	$8$	$8$	$192.383$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(67\)	\(52488\)	\(-3125000\)	\(46118408\)	$+$	$2^{16}\cdot 3^{6}\cdot 5^{4}\cdot 7^{4}\cdot 13$	$\mathrm{SU}(2)$	\(q+(8+\beta _{1})q^{2}+3^{8}q^{3}+(74148+8\beta _{1}+\cdots)q^{4}+\cdots\)
105.18.a.e	$105$	$18$	105.a	1.a	$1$	$8$	$8$	$192.383$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(424\)	\(52488\)	\(-3125000\)	\(-46118408\)	$-$	$2^{24}\cdot 3^{10}\cdot 5^{5}\cdot 7^{4}$	$\mathrm{SU}(2)$	\(q+(53-\beta _{1})q^{2}+3^{8}q^{3}+(71845-66\beta _{1}+\cdots)q^{4}+\cdots\)
105.18.a.f	$105$	$18$	105.a	1.a	$1$	$8$	$8$	$192.383$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(613\)	\(-52488\)	\(-3125000\)	\(-46118408\)	$+$	$2^{17}\cdot 3^{10}\cdot 5^{4}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(77-\beta _{1})q^{2}-3^{8}q^{3}+(33737-124\beta _{1}+\cdots)q^{4}+\cdots\)