Newform search results

Results (30 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1.72.a.a	$1$	$72$	1.a	1.a	$1$	$6$	$6$	$31.925$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(66157336440\)	\(89\!\cdots\!40\)	\(-42\!\cdots\!20\)	\(33\!\cdots\!00\)	$+$	$2^{55}\cdot 3^{20}\cdot 5^{6}\cdot 7^{3}$	$\mathrm{SU}(2)$	\(q+(11026222740-\beta _{1})q^{2}+(14982825462961740+\cdots)q^{3}+\cdots\)
1.76.a.a	$1$	$76$	1.a	1.a	$1$	$6$	$6$	$35.623$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(-57080822040\)	\(-78\!\cdots\!40\)	\(-38\!\cdots\!40\)	\(19\!\cdots\!00\)	$+$	$2^{58}\cdot 3^{26}\cdot 5^{7}\cdot 7^{3}\cdot 11\cdot 13\cdot 19$	$\mathrm{SU}(2)$	\(q+(-9513470340+\beta _{1})q^{2}+\cdots\)
1.78.a.a	$1$	$78$	1.a	1.a	$1$	$6$	$6$	$37.548$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(264721893120\)	\(14\!\cdots\!80\)	\(-26\!\cdots\!00\)	\(27\!\cdots\!00\)	$+$	$2^{64}\cdot 3^{20}\cdot 5^{8}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 19$	$\mathrm{SU}(2)$	\(q+(44120315520-\beta _{1})q^{2}+(240268562631348180+\cdots)q^{3}+\cdots\)
1.80.a.a	$1$	$80$	1.a	1.a	$1$	$6$	$6$	$39.524$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(-16086577320\)	\(19\!\cdots\!80\)	\(60\!\cdots\!40\)	\(-20\!\cdots\!00\)	$+$	$2^{54}\cdot 3^{24}\cdot 5^{6}\cdot 7^{3}\cdot 11\cdot 13^{2}$	$\mathrm{SU}(2)$	\(q+(-2681096220+\beta _{1})q^{2}+\cdots\)
1.82.a.a	$1$	$82$	1.a	1.a	$1$	$6$	$6$	$41.550$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(-460872026640\)	\(-15\!\cdots\!60\)	\(-18\!\cdots\!00\)	\(-31\!\cdots\!00\)	$+$	$2^{58}\cdot 3^{26}\cdot 5^{7}\cdot 7^{3}\cdot 13$	$\mathrm{SU}(2)$	\(q+(-76812004440-\beta _{1})q^{2}+\cdots\)
1.84.a.a	$1$	$84$	1.a	1.a	$1$	$7$	$7$	$43.627$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(347450761416\)	\(92\!\cdots\!72\)	\(95\!\cdots\!70\)	\(41\!\cdots\!56\)	$+$	$2^{82}\cdot 3^{30}\cdot 5^{8}\cdot 7^{4}\cdot 17$	$\mathrm{SU}(2)$	\(q+(49635823059+\beta _{1})q^{2}+\cdots\)
1.86.a.a	$1$	$86$	1.a	1.a	$1$	$6$	$6$	$45.755$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(-35\!\cdots\!00\)	\(-15\!\cdots\!00\)	\(-93\!\cdots\!00\)	\(37\!\cdots\!00\)	$+$	$2^{65}\cdot 3^{23}\cdot 5^{6}\cdot 7^{3}\cdot 11\cdot 17^{2}$	$\mathrm{SU}(2)$	\(q+(-599485114800+\beta _{1})q^{2}+\cdots\)
1.88.a.a	$1$	$88$	1.a	1.a	$1$	$7$	$7$	$47.933$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(18\!\cdots\!36\)	\(-75\!\cdots\!48\)	\(33\!\cdots\!50\)	\(45\!\cdots\!56\)	$+$	$2^{76}\cdot 3^{35}\cdot 5^{8}\cdot 7^{4}\cdot 11^{2}\cdot 13\cdot 17\cdot 29^{2}$	$\mathrm{SU}(2)$	\(q+(2599574577562+\beta _{1})q^{2}+\cdots\)
1.90.a.a	$1$	$90$	1.a	1.a	$1$	$7$	$7$	$50.162$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-31\!\cdots\!08\)	\(-13\!\cdots\!64\)	\(10\!\cdots\!50\)	\(38\!\cdots\!92\)	$+$	$2^{83}\cdot 3^{29}\cdot 5^{9}\cdot 7^{5}\cdot 11^{2}\cdot 13^{2}$	$\mathrm{SU}(2)$	\(q+(-4486761478773-\beta _{1})q^{2}+\cdots\)
1.92.a.a	$1$	$92$	1.a	1.a	$1$	$7$	$7$	$52.442$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(38\!\cdots\!56\)	\(62\!\cdots\!32\)	\(23\!\cdots\!30\)	\(-17\!\cdots\!44\)	$+$	$2^{83}\cdot 3^{31}\cdot 5^{8}\cdot 7^{6}\cdot 11\cdot 13^{3}\cdot 23$	$\mathrm{SU}(2)$	\(q+(548816691151+\beta _{1})q^{2}+\cdots\)
1.94.a.a	$1$	$94$	1.a	1.a	$1$	$7$	$7$	$54.773$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(43\!\cdots\!92\)	\(-36\!\cdots\!84\)	\(-24\!\cdots\!50\)	\(-92\!\cdots\!08\)	$+$	$2^{88}\cdot 3^{34}\cdot 5^{10}\cdot 7^{6}\cdot 13^{2}\cdot 19\cdot 23\cdot 31^{2}$	$\mathrm{SU}(2)$	\(q+(6247918101970+\beta _{1})q^{2}+\cdots\)
1.96.a.a	$1$	$96$	1.a	1.a	$1$	$8$	$8$	$57.154$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(-58\!\cdots\!80\)	\(-95\!\cdots\!80\)	\(19\!\cdots\!60\)	\(31\!\cdots\!00\)	$+$	$2^{104}\cdot 3^{38}\cdot 5^{12}\cdot 7^{7}\cdot 11\cdot 13\cdot 19^{3}$	$\mathrm{SU}(2)$	\(q+(-729457392285+\beta _{1})q^{2}+\cdots\)
1.98.a.a	$1$	$98$	1.a	1.a	$1$	$7$	$7$	$59.585$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-16\!\cdots\!08\)	\(10\!\cdots\!96\)	\(-36\!\cdots\!50\)	\(-18\!\cdots\!08\)	$+$	$2^{83}\cdot 3^{30}\cdot 5^{10}\cdot 7^{8}\cdot 11^{2}\cdot 19$	$\mathrm{SU}(2)$	\(q+(-2385320155001+\beta _{1})q^{2}+\cdots\)
1.100.a.a	$1$	$100$	1.a	1.a	$1$	$8$	$8$	$62.068$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(-20\!\cdots\!20\)	\(-28\!\cdots\!20\)	\(-48\!\cdots\!60\)	\(-56\!\cdots\!00\)	$+$	$2^{109}\cdot 3^{44}\cdot 5^{13}\cdot 7^{9}\cdot 11^{3}\cdot 13\cdot 17$	$\mathrm{SU}(2)$	\(q+(-26005077112815+\beta _{1})q^{2}+\cdots\)
1.102.a.a	$1$	$102$	1.a	1.a	$1$	$8$	$8$	$64.601$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-43\!\cdots\!40\)	\(-12\!\cdots\!60\)	\(38\!\cdots\!00\)	\(-57\!\cdots\!00\)	$+$	$2^{119}\cdot 3^{37}\cdot 5^{14}\cdot 7^{7}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}$	$\mathrm{SU}(2)$	\(q+(-54373636474380-\beta _{1})q^{2}+\cdots\)
1.104.a.a	$1$	$104$	1.a	1.a	$1$	$8$	$8$	$67.184$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(43\!\cdots\!40\)	\(50\!\cdots\!40\)	\(55\!\cdots\!20\)	\(41\!\cdots\!00\)	$+$	$2^{104}\cdot 3^{40}\cdot 5^{12}\cdot 7^{8}\cdot 11\cdot 13^{3}\cdot 17^{2}$	$\mathrm{SU}(2)$	\(q+(548616194585055-\beta _{1})q^{2}+\cdots\)
1.106.a.a	$1$	$106$	1.a	1.a	$1$	$8$	$8$	$69.819$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-91\!\cdots\!20\)	\(-35\!\cdots\!80\)	\(74\!\cdots\!00\)	\(70\!\cdots\!00\)	$+$	$2^{111}\cdot 3^{44}\cdot 5^{13}\cdot 7^{7}\cdot 11\cdot 13^{3}\cdot 17$	$\mathrm{SU}(2)$	\(q+(-1146879061146990+\beta _{1})q^{2}+\cdots\)
1.108.a.a	$1$	$108$	1.a	1.a	$1$	$9$	$9$	$72.504$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(54\!\cdots\!96\)	\(15\!\cdots\!12\)	\(24\!\cdots\!50\)	\(-93\!\cdots\!44\)	$+$	$2^{143}\cdot 3^{48}\cdot 5^{18}\cdot 7^{8}\cdot 11^{2}\cdot 13^{2}$	$\mathrm{SU}(2)$	\(q+(607308845937277-\beta _{1})q^{2}+\cdots\)
1.110.a.a	$1$	$110$	1.a	1.a	$1$	$8$	$8$	$75.239$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(22\!\cdots\!00\)	\(-79\!\cdots\!00\)	\(-21\!\cdots\!00\)	\(23\!\cdots\!00\)	$+$	$2^{118}\cdot 3^{40}\cdot 5^{14}\cdot 7^{6}\cdot 11^{3}\cdot 13$	$\mathrm{SU}(2)$	\(q+(286049075864400-\beta _{1})q^{2}+\cdots\)
1.112.a.a	$1$	$112$	1.a	1.a	$1$	$9$	$9$	$78.026$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(73\!\cdots\!76\)	\(23\!\cdots\!52\)	\(81\!\cdots\!30\)	\(78\!\cdots\!56\)	$+$	$2^{135}\cdot 3^{56}\cdot 5^{16}\cdot 7^{7}\cdot 11^{3}\cdot 13\cdot 19\cdot 37^{3}$	$\mathrm{SU}(2)$	\(q+(811166749386264+\beta _{1})q^{2}+\cdots\)
1.114.a.a	$1$	$114$	1.a	1.a	$1$	$9$	$9$	$80.863$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(49\!\cdots\!32\)	\(-10\!\cdots\!24\)	\(-31\!\cdots\!50\)	\(-17\!\cdots\!08\)	$+$	$2^{144}\cdot 3^{48}\cdot 5^{19}\cdot 7^{7}\cdot 11^{2}\cdot 13^{2}\cdot 19^{3}\cdot 23$	$\mathrm{SU}(2)$	\(q+(552636039763781+\beta _{1})q^{2}+\cdots\)
1.116.a.a	$1$	$116$	1.a	1.a	$1$	$9$	$9$	$83.750$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(-11\!\cdots\!44\)	\(34\!\cdots\!92\)	\(-94\!\cdots\!90\)	\(18\!\cdots\!56\)	$+$	$2^{142}\cdot 3^{52}\cdot 5^{17}\cdot 7^{8}\cdot 11^{3}\cdot 13^{3}\cdot 17\cdot 19^{3}\cdot 23^{3}\cdot 29^{2}$	$\mathrm{SU}(2)$	\(q+(-12908974454383949-\beta _{1}+\cdots)q^{2}+\cdots\)
1.118.a.a	$1$	$118$	1.a	1.a	$1$	$9$	$9$	$86.689$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(40\!\cdots\!52\)	\(10\!\cdots\!36\)	\(38\!\cdots\!50\)	\(-33\!\cdots\!08\)	$+$	$2^{151}\cdot 3^{56}\cdot 5^{18}\cdot 7^{7}\cdot 11^{4}\cdot 13^{4}\cdot 17^{2}\cdot 19\cdot 23\cdot 29^{2}$	$\mathrm{SU}(2)$	\(q+(4490781853906528-\beta _{1})q^{2}+\cdots\)
1.120.a.a	$1$	$120$	1.a	1.a	$1$	$10$	$10$	$89.678$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(91\!\cdots\!00\)	\(-95\!\cdots\!00\)	\(60\!\cdots\!40\)	\(-21\!\cdots\!00\)	$+$	$2^{171}\cdot 3^{61}\cdot 5^{22}\cdot 7^{9}\cdot 11^{6}\cdot 13^{3}\cdot 17^{4}$	$\mathrm{SU}(2)$	\(q+(91993272260576940-\beta _{1})q^{2}+\cdots\)
1.122.a.a	$1$	$122$	1.a	1.a	$1$	$9$	$9$	$92.717$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(-23\!\cdots\!28\)	\(-45\!\cdots\!04\)	\(-18\!\cdots\!50\)	\(21\!\cdots\!92\)	$+$	$2^{145}\cdot 3^{53}\cdot 5^{20}\cdot 7^{8}\cdot 11^{6}\cdot 13^{2}\cdot 17^{2}$	$\mathrm{SU}(2)$	\(q+(-260556173583835525+\beta _{1}+\cdots)q^{2}+\cdots\)
1.124.a.a	$1$	$124$	1.a	1.a	$1$	$10$	$10$	$95.808$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(22\!\cdots\!00\)	\(13\!\cdots\!00\)	\(11\!\cdots\!20\)	\(-58\!\cdots\!00\)	$+$	$2^{178}\cdot 3^{70}\cdot 5^{22}\cdot 7^{9}\cdot 11^{6}\cdot 13^{2}\cdot 17\cdot 31^{2}\cdot 41^{3}$	$\mathrm{SU}(2)$	\(q+(220236429173363460-\beta _{1})q^{2}+\cdots\)
1.126.a.a	$1$	$126$	1.a	1.a	$1$	$10$	$10$	$98.949$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(-18\!\cdots\!00\)	\(-58\!\cdots\!00\)	\(-91\!\cdots\!00\)	\(-78\!\cdots\!00\)	$+$	$2^{190}\cdot 3^{62}\cdot 5^{26}\cdot 7^{9}\cdot 11^{5}\cdot 13^{2}\cdot 31^{2}$	$\mathrm{SU}(2)$	\(q+(-183875664461021280+\beta _{1}+\cdots)q^{2}+\cdots\)
1.128.a.a	$1$	$128$	1.a	1.a	$1$	$10$	$10$	$102.140$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(59\!\cdots\!00\)	\(88\!\cdots\!00\)	\(-11\!\cdots\!00\)	\(59\!\cdots\!00\)	$+$	$2^{172}\cdot 3^{66}\cdot 5^{23}\cdot 7^{10}\cdot 11^{4}\cdot 13^{3}$	$\mathrm{SU}(2)$	\(q+(593018480375087580-\beta _{1})q^{2}+\cdots\)
1.130.a.a	$1$	$130$	1.a	1.a	$1$	$10$	$10$	$105.382$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(-12\!\cdots\!00\)	\(-82\!\cdots\!00\)	\(21\!\cdots\!00\)	\(-10\!\cdots\!00\)	$+$	$2^{180}\cdot 3^{71}\cdot 5^{25}\cdot 7^{9}\cdot 11^{3}\cdot 13^{4}\cdot 19\cdot 43^{3}$	$\mathrm{SU}(2)$	\(q+(-121215579595700040+\beta _{1}+\cdots)q^{2}+\cdots\)
1.134.a.a	$1$	$134$	1.a	1.a	$1$	$10$	$10$	$112.019$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(46\!\cdots\!00\)	\(-78\!\cdots\!00\)	\(61\!\cdots\!00\)	\(-27\!\cdots\!00\)	$+$	$2^{188}\cdot 3^{67}\cdot 5^{24}\cdot 7^{11}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2}\cdot 19^{4}$	$\mathrm{SU}(2)$	\(q+(4665469459151595600-\beta _{1}+\cdots)q^{2}+\cdots\)