Newform search results

Results (1-50 of 209 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2
2.8.a.a	$2$	$8$	2.a	1.a	$1$	$1$	$1$	$0.625$	\(\Q\)	None	✓	$1$	$0$	\(-8\)	\(12\)	\(-210\)	\(1016\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-8q^{2}+12q^{3}+2^{6}q^{4}-210q^{5}+\cdots\)
2.10.a.a	$2$	$10$	2.a	1.a	$1$	$1$	$1$	$1.030$	\(\Q\)	None	✓	$1$	$0$	\(16\)	\(-156\)	\(870\)	\(-952\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{4}q^{2}-156q^{3}+2^{8}q^{4}+870q^{5}+\cdots\)
2.14.a.a	$2$	$14$	2.a	1.a	$1$	$1$	$1$	$2.145$	\(\Q\)	None	✓	$1$	$1$	\(-64\)	\(-1836\)	\(3990\)	\(-433432\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{6}q^{2}-1836q^{3}+2^{12}q^{4}+3990q^{5}+\cdots\)
2.14.a.b	$2$	$14$	2.a	1.a	$1$	$1$	$1$	$2.145$	\(\Q\)	None	✓	$1$	$0$	\(64\)	\(1236\)	\(-57450\)	\(64232\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{6}q^{2}+1236q^{3}+2^{12}q^{4}-57450q^{5}+\cdots\)
2.16.a.a	$2$	$16$	2.a	1.a	$1$	$1$	$1$	$2.854$	\(\Q\)	None	✓	$1$	$0$	\(-128\)	\(6252\)	\(90510\)	\(56\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{7}q^{2}+6252q^{3}+2^{14}q^{4}+90510q^{5}+\cdots\)
2.18.a.a	$2$	$18$	2.a	1.a	$1$	$1$	$1$	$3.664$	\(\Q\)	None	✓	$1$	$0$	\(256\)	\(6084\)	\(1255110\)	\(-22465912\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{8}q^{2}+78^{2}q^{3}+2^{16}q^{4}+1255110q^{5}+\cdots\)
2.20.a.a	$2$	$20$	2.a	1.a	$1$	$1$	$1$	$4.576$	\(\Q\)	None	✓	$1$	$0$	\(-512\)	\(-13092\)	\(6546750\)	\(96674264\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{9}q^{2}-13092q^{3}+2^{18}q^{4}+6546750q^{5}+\cdots\)
2.20.a.b	$2$	$20$	2.a	1.a	$1$	$1$	$1$	$4.576$	\(\Q\)	None	✓	$1$	$1$	\(512\)	\(-53028\)	\(-5556930\)	\(-44496424\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{9}q^{2}-53028q^{3}+2^{18}q^{4}-5556930q^{5}+\cdots\)
2.22.a.a	$2$	$22$	2.a	1.a	$1$	$1$	$1$	$5.590$	\(\Q\)	None	✓	$1$	$1$	\(-1024\)	\(71604\)	\(-28693770\)	\(-853202392\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{10}q^{2}+71604q^{3}+2^{20}q^{4}-28693770q^{5}+\cdots\)
2.22.a.b	$2$	$22$	2.a	1.a	$1$	$1$	$1$	$5.590$	\(\Q\)	None	✓	$1$	$0$	\(1024\)	\(59316\)	\(4975350\)	\(1427425832\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{10}q^{2}+59316q^{3}+2^{20}q^{4}+4975350q^{5}+\cdots\)
2.24.a.a	$2$	$24$	2.a	1.a	$1$	$1$	$1$	$6.704$	\(\Q\)	None	✓	$1$	$0$	\(-2048\)	\(-505908\)	\(-90135570\)	\(6872255096\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{11}q^{2}-505908q^{3}+2^{22}q^{4}+\cdots\)
2.26.a.a	$2$	$26$	2.a	1.a	$1$	$1$	$1$	$7.920$	\(\Q\)	None	✓	$1$	$1$	\(-4096\)	\(97956\)	\(341005350\)	\(-40882637368\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{12}q^{2}+97956q^{3}+2^{24}q^{4}+341005350q^{5}+\cdots\)
2.26.a.b	$2$	$26$	2.a	1.a	$1$	$2$	$2$	$7.920$	\(\Q(\sqrt{106705}) \)	None	✓	$1$	$0$	\(8192\)	\(379848\)	\(741953100\)	\(-376536944\)		$-$	$-$	$2^{7}\cdot 3\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q+2^{12}q^{2}+(189924-\beta )q^{3}+2^{24}q^{4}+\cdots\)
2.28.a.a	$2$	$28$	2.a	1.a	$1$	$1$	$1$	$9.237$	\(\Q\)	None	✓	$1$	$0$	\(-8192\)	\(3984828\)	\(-2851889250\)	\(368721063704\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{13}q^{2}+3984828q^{3}+2^{26}q^{4}+\cdots\)
2.28.a.b	$2$	$28$	2.a	1.a	$1$	$1$	$1$	$9.237$	\(\Q\)	None	✓	$1$	$1$	\(8192\)	\(-1016388\)	\(-3341197410\)	\(-51021361384\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{13}q^{2}-1016388q^{3}+2^{26}q^{4}+\cdots\)
2.30.a.a	$2$	$30$	2.a	1.a	$1$	$1$	$1$	$10.656$	\(\Q\)	None	✓	$1$	$1$	\(-16384\)	\(-2792556\)	\(6651856470\)	\(14\!\cdots\!48\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{14}q^{2}-2792556q^{3}+2^{28}q^{4}+\cdots\)
2.30.a.b	$2$	$30$	2.a	1.a	$1$	$1$	$1$	$10.656$	\(\Q\)	None	✓	$1$	$0$	\(16384\)	\(4782996\)	\(6065841750\)	\(904018883432\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{14}q^{2}+4782996q^{3}+2^{28}q^{4}+\cdots\)
2.32.a.a	$2$	$32$	2.a	1.a	$1$	$1$	$1$	$12.175$	\(\Q\)	None	✓	$1$	$1$	\(32768\)	\(-19984212\)	\(42951708750\)	\(-16\!\cdots\!76\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{15}q^{2}-19984212q^{3}+2^{30}q^{4}+\cdots\)
2.32.a.b	$2$	$32$	2.a	1.a	$1$	$2$	$2$	$12.175$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$0$	\(-65536\)	\(16716504\)	\(-26763065700\)	\(-23\!\cdots\!08\)		$+$	$+$	$2^{7}\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q-2^{15}q^{2}+(8358252-\beta )q^{3}+2^{30}q^{4}+\cdots\)
2.34.a.a	$2$	$34$	2.a	1.a	$1$	$1$	$1$	$13.797$	\(\Q\)	None	✓	$1$	$1$	\(-65536\)	\(-133005564\)	\(538799132550\)	\(-33\!\cdots\!68\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{16}q^{2}-133005564q^{3}+2^{32}q^{4}+\cdots\)
2.34.a.b	$2$	$34$	2.a	1.a	$1$	$2$	$2$	$13.797$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$0$	\(131072\)	\(8356488\)	\(-5332476660\)	\(13\!\cdots\!56\)		$-$	$-$	$2^{7}\cdot 3\cdot 5\cdot 11$	$\mathrm{SU}(2)$	\(q+2^{16}q^{2}+(4178244-\beta )q^{3}+2^{32}q^{4}+\cdots\)
2.36.a.a	$2$	$36$	2.a	1.a	$1$	$1$	$1$	$15.519$	\(\Q\)	None	✓	$1$	$0$	\(-131072\)	\(36494748\)	\(389070858750\)	\(-12\!\cdots\!56\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{17}q^{2}+36494748q^{3}+2^{34}q^{4}+\cdots\)
2.36.a.b	$2$	$36$	2.a	1.a	$1$	$1$	$1$	$15.519$	\(\Q\)	None	✓	$1$	$1$	\(131072\)	\(159933852\)	\(-28\!\cdots\!90\)	\(-78\!\cdots\!44\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{17}q^{2}+159933852q^{3}+2^{34}q^{4}+\cdots\)
2.38.a.a	$2$	$38$	2.a	1.a	$1$	$2$	$2$	$17.343$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(-524288\)	\(423071208\)	\(-13\!\cdots\!40\)	\(31\!\cdots\!56\)		$+$	$+$	$2^{8}\cdot 3^{3}\cdot 5$	$\mathrm{SU}(2)$	\(q-2^{18}q^{2}+(211535604-\beta )q^{3}+2^{36}q^{4}+\cdots\)
2.38.a.b	$2$	$38$	2.a	1.a	$1$	$2$	$2$	$17.343$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$0$	\(524288\)	\(-501686808\)	\(41\!\cdots\!00\)	\(-35\!\cdots\!56\)		$-$	$-$	$2^{8}\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q+2^{18}q^{2}+(-250843404-\beta )q^{3}+\cdots\)
2.40.a.a	$2$	$40$	2.a	1.a	$1$	$1$	$1$	$19.268$	\(\Q\)	None	✓	$1$	$1$	\(524288\)	\(-735458292\)	\(-16\!\cdots\!50\)	\(16\!\cdots\!64\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{19}q^{2}-735458292q^{3}+2^{38}q^{4}+\cdots\)
2.40.a.b	$2$	$40$	2.a	1.a	$1$	$2$	$2$	$19.268$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$0$	\(-1048576\)	\(287418264\)	\(53\!\cdots\!20\)	\(74\!\cdots\!12\)		$+$	$+$	$2^{7}\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q-2^{19}q^{2}+(143709132-\beta )q^{3}+2^{38}q^{4}+\cdots\)
2.42.a.a	$2$	$42$	2.a	1.a	$1$	$1$	$1$	$21.294$	\(\Q\)	None	✓	$1$	$1$	\(-1048576\)	\(5043516516\)	\(-48\!\cdots\!50\)	\(-11\!\cdots\!68\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{20}q^{2}+5043516516q^{3}+2^{40}q^{4}+\cdots\)
2.42.a.b	$2$	$42$	2.a	1.a	$1$	$2$	$2$	$21.294$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$0$	\(2097152\)	\(8863347528\)	\(97\!\cdots\!80\)	\(21\!\cdots\!56\)		$-$	$-$	$2^{7}\cdot 3^{2}\cdot 5$	$\mathrm{SU}(2)$	\(q+2^{20}q^{2}+(4431673764-\beta )q^{3}+\cdots\)
2.44.a.a	$2$	$44$	2.a	1.a	$1$	$2$	$2$	$23.422$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$0$	\(-4194304\)	\(-12981630984\)	\(-39\!\cdots\!00\)	\(11\!\cdots\!08\)		$+$	$+$	$2^{8}\cdot 3\cdot 5\cdot 11$	$\mathrm{SU}(2)$	\(q-2^{21}q^{2}+(-6490815492-\beta )q^{3}+\cdots\)
2.44.a.b	$2$	$44$	2.a	1.a	$1$	$2$	$2$	$23.422$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(4194304\)	\(-22341634056\)	\(-47\!\cdots\!20\)	\(-22\!\cdots\!28\)		$-$	$-$	$2^{8}\cdot 3^{3}\cdot 5$	$\mathrm{SU}(2)$	\(q+2^{21}q^{2}+(-11170817028-\beta )q^{3}+\cdots\)
2.46.a.a	$2$	$46$	2.a	1.a	$1$	$2$	$2$	$25.651$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(-8388608\)	\(-69766206552\)	\(-45\!\cdots\!00\)	\(-95\!\cdots\!44\)		$+$	$+$	$2^{8}\cdot 3^{4}\cdot 5^{2}\cdot 11$	$\mathrm{SU}(2)$	\(q-2^{22}q^{2}+(-34883103276-\beta )q^{3}+\cdots\)
2.46.a.b	$2$	$46$	2.a	1.a	$1$	$2$	$2$	$25.651$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$0$	\(8388608\)	\(59861217192\)	\(43\!\cdots\!00\)	\(79\!\cdots\!24\)		$-$	$-$	$2^{8}\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q+2^{22}q^{2}+(29930608596-\beta )q^{3}+\cdots\)
2.48.a.a	$2$	$48$	2.a	1.a	$1$	$1$	$1$	$27.982$	\(\Q\)	None	✓	$1$	$1$	\(8388608\)	\(-196634580372\)	\(20\!\cdots\!50\)	\(-51\!\cdots\!96\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{23}q^{2}-196634580372q^{3}+2^{46}q^{4}+\cdots\)
2.48.a.b	$2$	$48$	2.a	1.a	$1$	$2$	$2$	$27.982$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$0$	\(-16777216\)	\(122289844824\)	\(18\!\cdots\!40\)	\(16\!\cdots\!32\)		$+$	$+$	$2^{7}\cdot 3^{3}\cdot 5$	$\mathrm{SU}(2)$	\(q-2^{23}q^{2}+(61144922412-5\beta )q^{3}+\cdots\)
2.50.a.a	$2$	$50$	2.a	1.a	$1$	$2$	$2$	$30.413$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(-33554432\)	\(281051075592\)	\(83\!\cdots\!00\)	\(-43\!\cdots\!36\)		$+$	$+$	$2^{7}\cdot 3^{3}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q-2^{24}q^{2}+(140525537796-\beta )q^{3}+\cdots\)
2.50.a.b	$2$	$50$	2.a	1.a	$1$	$3$	$3$	$30.413$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(50331648\)	\(-16203614388\)	\(-10\!\cdots\!30\)	\(-12\!\cdots\!96\)		$-$	$-$	$2^{22}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+2^{24}q^{2}+(-5401204796-\beta _{1}+\cdots)q^{3}+\cdots\)
2.52.a.a	$2$	$52$	2.a	1.a	$1$	$2$	$2$	$32.946$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$0$	\(-67108864\)	\(187290382776\)	\(-12\!\cdots\!00\)	\(-41\!\cdots\!52\)		$+$	$+$	$2^{8}\cdot 3\cdot 5^{2}\cdot 17$	$\mathrm{SU}(2)$	\(q-2^{25}q^{2}+(93645191388-17\beta )q^{3}+\cdots\)
2.52.a.b	$2$	$52$	2.a	1.a	$1$	$2$	$2$	$32.946$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(67108864\)	\(889619774904\)	\(-50\!\cdots\!00\)	\(-64\!\cdots\!08\)		$-$	$-$	$2^{8}\cdot 3^{5}\cdot 5$	$\mathrm{SU}(2)$	\(q+2^{25}q^{2}+(444809887452-\beta )q^{3}+\cdots\)
2.54.a.a	$2$	$54$	2.a	1.a	$1$	$2$	$2$	$35.581$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(-134217728\)	\(-14\!\cdots\!12\)	\(30\!\cdots\!40\)	\(-26\!\cdots\!44\)		$+$	$+$	$2^{8}\cdot 3^{5}\cdot 5$	$\mathrm{SU}(2)$	\(q-2^{26}q^{2}+(-721907386956-3\beta )q^{3}+\cdots\)
2.54.a.b	$2$	$54$	2.a	1.a	$1$	$2$	$2$	$35.581$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$0$	\(134217728\)	\(-116235744408\)	\(19\!\cdots\!00\)	\(71\!\cdots\!04\)		$-$	$-$	$2^{8}\cdot 3^{2}\cdot 5\cdot 11$	$\mathrm{SU}(2)$	\(q+2^{26}q^{2}+(-58117872204-\beta )q^{3}+\cdots\)
2.56.a.a	$2$	$56$	2.a	1.a	$1$	$2$	$2$	$38.316$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(268435456\)	\(11\!\cdots\!56\)	\(-25\!\cdots\!00\)	\(-44\!\cdots\!32\)		$-$	$-$	$2^{7}\cdot 3^{3}\cdot 5\cdot 11$	$\mathrm{SU}(2)$	\(q+2^{27}q^{2}+(5527700889228-\beta )q^{3}+\cdots\)
2.56.a.b	$2$	$56$	2.a	1.a	$1$	$3$	$3$	$38.316$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-402653184\)	\(31\!\cdots\!16\)	\(20\!\cdots\!10\)	\(27\!\cdots\!48\)		$+$	$+$	$2^{22}\cdot 3^{6}\cdot 5^{3}\cdot 11$	$\mathrm{SU}(2)$	\(q-2^{27}q^{2}+(1035669549772-\beta _{1}+\cdots)q^{3}+\cdots\)
2.58.a.a	$2$	$58$	2.a	1.a	$1$	$2$	$2$	$41.153$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(-536870912\)	\(-48\!\cdots\!08\)	\(-44\!\cdots\!00\)	\(-72\!\cdots\!56\)		$+$	$+$	$2^{7}\cdot 3^{4}\cdot 5$	$\mathrm{SU}(2)$	\(q-2^{28}q^{2}+(-24128544277404+\cdots)q^{3}+\cdots\)
2.58.a.b	$2$	$58$	2.a	1.a	$1$	$3$	$3$	$41.153$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(805306368\)	\(-25\!\cdots\!88\)	\(11\!\cdots\!10\)	\(-13\!\cdots\!16\)		$-$	$-$	$2^{22}\cdot 3^{6}\cdot 5^{2}\cdot 7\cdot 11\cdot 19$	$\mathrm{SU}(2)$	\(q+2^{28}q^{2}+(-8441370341596+\beta _{1}+\cdots)q^{3}+\cdots\)
2.60.a.a	$2$	$60$	2.a	1.a	$1$	$2$	$2$	$44.092$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$0$	\(-1073741824\)	\(12\!\cdots\!36\)	\(-22\!\cdots\!00\)	\(26\!\cdots\!88\)		$+$	$+$	$2^{8}\cdot 3^{2}\cdot 5$	$\mathrm{SU}(2)$	\(q-2^{29}q^{2}+(61050546196668-\beta )q^{3}+\cdots\)
2.60.a.b	$2$	$60$	2.a	1.a	$1$	$2$	$2$	$44.092$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(1073741824\)	\(-20\!\cdots\!36\)	\(-42\!\cdots\!80\)	\(57\!\cdots\!12\)		$-$	$-$	$2^{8}\cdot 3^{4}\cdot 5$	$\mathrm{SU}(2)$	\(q+2^{29}q^{2}+(-103021728505668+\cdots)q^{3}+\cdots\)
2.62.a.a	$2$	$62$	2.a	1.a	$1$	$3$	$3$	$47.131$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-3221225472\)	\(75\!\cdots\!12\)	\(22\!\cdots\!30\)	\(36\!\cdots\!24\)		$+$	$+$	$2^{24}\cdot 3^{8}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q-2^{30}q^{2}+(25004357142804-\beta _{1}+\cdots)q^{3}+\cdots\)
2.62.a.b	$2$	$62$	2.a	1.a	$1$	$3$	$3$	$47.131$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(3221225472\)	\(61\!\cdots\!88\)	\(24\!\cdots\!50\)	\(70\!\cdots\!76\)		$-$	$-$	$2^{24}\cdot 3^{5}\cdot 5^{3}\cdot 7$	$\mathrm{SU}(2)$	\(q+2^{30}q^{2}+(205798698834196-\beta _{1}+\cdots)q^{3}+\cdots\)
2.64.a.a	$2$	$64$	2.a	1.a	$1$	$2$	$2$	$50.272$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(4294967296\)	\(-44\!\cdots\!84\)	\(-25\!\cdots\!00\)	\(-18\!\cdots\!92\)		$-$	$-$	$2^{7}\cdot 3^{4}\cdot 5$	$\mathrm{SU}(2)$	\(q+2^{31}q^{2}+(-221922059126292+\cdots)q^{3}+\cdots\)