Newform search results

Results (16 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1.34.a.a	$1$	$34$	1.a	1.a	$1$	$2$	$2$	$6.898$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(-121680\)	\(37919880\)	\(-181061536500\)	\(-67\!\cdots\!00\)	$+$	$2^{4}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(-60840-\beta )q^{2}+(18959940+312\beta )q^{3}+\cdots\)
1.36.a.a	$1$	$36$	1.a	1.a	$1$	$3$	$3$	$7.760$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(139656\)	\(-104875308\)	\(892652054010\)	\(87\!\cdots\!56\)	$+$	$2^{12}\cdot 3^{3}\cdot 5\cdot 7$	$\mathrm{SU}(2)$	\(q+(46552+\beta _{1})q^{2}+(-34958436+\cdots)q^{3}+\cdots\)
1.38.a.a	$1$	$38$	1.a	1.a	$1$	$2$	$2$	$8.671$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(-194400\)	\(13991400\)	\(55\!\cdots\!00\)	\(-34\!\cdots\!00\)	$+$	$2^{5}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-97200-\beta )q^{2}+(6995700+72\beta )q^{3}+\cdots\)
1.40.a.a	$1$	$40$	1.a	1.a	$1$	$3$	$3$	$9.634$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(548856\)	\(1109442852\)	\(17\!\cdots\!90\)	\(-17\!\cdots\!44\)	$+$	$2^{10}\cdot 3^{5}\cdot 5\cdot 13$	$\mathrm{SU}(2)$	\(q+(182952-\beta _{1})q^{2}+(369814284+\cdots)q^{3}+\cdots\)
1.42.a.a	$1$	$42$	1.a	1.a	$1$	$3$	$3$	$10.647$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-344688\)	\(-10820953044\)	\(-21\!\cdots\!50\)	\(57\!\cdots\!92\)	$+$	$2^{11}\cdot 3^{3}\cdot 5\cdot 7$	$\mathrm{SU}(2)$	\(q+(-114896+\beta _{1})q^{2}+(-3606984348+\cdots)q^{3}+\cdots\)
1.44.a.a	$1$	$44$	1.a	1.a	$1$	$3$	$3$	$11.711$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-2209944\)	\(24401437812\)	\(53\!\cdots\!70\)	\(30\!\cdots\!56\)	$+$	$2^{11}\cdot 3^{4}\cdot 5\cdot 7$	$\mathrm{SU}(2)$	\(q+(-736648-\beta _{1})q^{2}+(8133812604+\cdots)q^{3}+\cdots\)
1.46.a.a	$1$	$46$	1.a	1.a	$1$	$3$	$3$	$12.826$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(3814272\)	\(5359866876\)	\(-91\!\cdots\!50\)	\(-76\!\cdots\!08\)	$+$	$2^{14}\cdot 3^{6}\cdot 5$	$\mathrm{SU}(2)$	\(q+(1271424+\beta _{1})q^{2}+(1786622292+\cdots)q^{3}+\cdots\)
1.48.a.a	$1$	$48$	1.a	1.a	$1$	$4$	$4$	$13.991$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(5785560\)	\(38461494960\)	\(-31\!\cdots\!00\)	\(-39\!\cdots\!00\)	$+$	$2^{20}\cdot 3^{7}\cdot 5^{3}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(1446390+\beta _{1})q^{2}+(9615373740+\cdots)q^{3}+\cdots\)
1.50.a.a	$1$	$50$	1.a	1.a	$1$	$3$	$3$	$15.207$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-24225168\)	\(-326954692404\)	\(63\!\cdots\!50\)	\(50\!\cdots\!92\)	$+$	$2^{11}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(-8075056+\beta _{1})q^{2}+(-108984897468+\cdots)q^{3}+\cdots\)
1.52.a.a	$1$	$52$	1.a	1.a	$1$	$4$	$4$	$16.473$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(32756040\)	\(403863773040\)	\(12\!\cdots\!80\)	\(65\!\cdots\!00\)	$+$	$2^{23}\cdot 3^{10}\cdot 5^{3}\cdot 7^{2}\cdot 13\cdot 17$	$\mathrm{SU}(2)$	\(q+(8189010+\beta _{1})q^{2}+(100965943260+\cdots)q^{3}+\cdots\)
1.54.a.a	$1$	$54$	1.a	1.a	$1$	$4$	$4$	$17.790$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(-68476320\)	\(-10\!\cdots\!80\)	\(-45\!\cdots\!00\)	\(-22\!\cdots\!00\)	$+$	$2^{27}\cdot 3^{8}\cdot 5^{3}\cdot 7\cdot 13$	$\mathrm{SU}(2)$	\(q+(-17119080+\beta _{1})q^{2}+(-262102751820+\cdots)q^{3}+\cdots\)
1.56.a.a	$1$	$56$	1.a	1.a	$1$	$4$	$4$	$19.158$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(208622520\)	\(-68\!\cdots\!80\)	\(14\!\cdots\!60\)	\(-20\!\cdots\!00\)	$+$	$2^{20}\cdot 3^{9}\cdot 5^{2}\cdot 7\cdot 11$	$\mathrm{SU}(2)$	\(q+(52155630+\beta _{1})q^{2}+(-1705367672820+\cdots)q^{3}+\cdots\)
1.58.a.a	$1$	$58$	1.a	1.a	$1$	$4$	$4$	$20.577$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(-217744560\)	\(37\!\cdots\!60\)	\(-10\!\cdots\!00\)	\(95\!\cdots\!00\)	$+$	$2^{25}\cdot 3^{10}\cdot 5^{2}\cdot 7\cdot 19$	$\mathrm{SU}(2)$	\(q+(-54436140+\beta _{1})q^{2}+(9368965543140+\cdots)q^{3}+\cdots\)
1.60.a.a	$1$	$60$	1.a	1.a	$1$	$5$	$5$	$22.046$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(-449691864\)	\(84\!\cdots\!32\)	\(17\!\cdots\!90\)	\(14\!\cdots\!56\)	$+$	$2^{39}\cdot 3^{13}\cdot 5^{3}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(-89938373-\beta _{1})q^{2}+(16803326335969+\cdots)q^{3}+\cdots\)
1.62.a.a	$1$	$62$	1.a	1.a	$1$	$4$	$4$	$23.566$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(1146312000\)	\(-57\!\cdots\!00\)	\(-52\!\cdots\!00\)	\(-63\!\cdots\!00\)	$+$	$2^{28}\cdot 3^{8}\cdot 5^{2}\cdot 7$	$\mathrm{SU}(2)$	\(q+(286578000-\beta _{1})q^{2}+(-143430899755500+\cdots)q^{3}+\cdots\)
1.64.a.a	$1$	$64$	1.a	1.a	$1$	$5$	$5$	$25.136$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(507315096\)	\(95\!\cdots\!52\)	\(-50\!\cdots\!30\)	\(37\!\cdots\!56\)	$+$	$2^{37}\cdot 3^{17}\cdot 5^{3}\cdot 7^{2}\cdot 13$	$\mathrm{SU}(2)$	\(q+(101463019-\beta _{1})q^{2}+(190649070219572+\cdots)q^{3}+\cdots\)