Newform search results

Results (1-50 of 102 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3.67.b.a	$3$	$67$	3.b	3.b	$2$	$1$	$1$	$82.760$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(-55\!\cdots\!23\)	\(0\)	\(-15\!\cdots\!14\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-3^{33}q^{3}+2^{66}q^{4}+\cdots\)
3.73.b.a	$3$	$73$	3.b	3.b	$2$	$1$	$1$	$98.491$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(15\!\cdots\!21\)	\(0\)	\(22\!\cdots\!02\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+3^{36}q^{3}+2^{72}q^{4}+\cdots\)
4.65.b.a	$4$	$65$	4.b	4.b	$2$	$1$	$1$	$103.761$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(4294967296\)	\(0\)	\(-79\!\cdots\!14\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2^{32}q^{2}+2^{64}q^{4}-7955407605897445007614q^{5}+\cdots\)
3.79.b.a	$3$	$79$	3.b	3.b	$2$	$1$	$1$	$115.588$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(-40\!\cdots\!67\)	\(0\)	\(11\!\cdots\!14\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-3^{39}q^{3}+2^{78}q^{4}+\cdots\)
4.69.b.a	$4$	$69$	4.b	4.b	$2$	$1$	$1$	$117.136$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(-17179869184\)	\(0\)	\(11\!\cdots\!46\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2^{34}q^{2}+2^{68}q^{4}+1156844845155669343215346q^{5}+\cdots\)
4.73.b.a	$4$	$73$	4.b	4.b	$2$	$1$	$1$	$131.321$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(68719476736\)	\(0\)	\(-11\!\cdots\!94\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2^{36}q^{2}+2^{72}q^{4}-11223698078493467675256094q^{5}+\cdots\)
3.85.b.a	$3$	$85$	3.b	3.b	$2$	$1$	$1$	$134.054$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(10\!\cdots\!09\)	\(0\)	\(-60\!\cdots\!02\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+3^{42}q^{3}+2^{84}q^{4}+\cdots\)
4.77.b.a	$4$	$77$	4.b	4.b	$2$	$1$	$1$	$146.316$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(-274877906944\)	\(0\)	\(-56\!\cdots\!34\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2^{38}q^{2}+2^{76}q^{4}+\cdots\)
3.91.b.a	$3$	$91$	3.b	3.b	$2$	$1$	$1$	$153.888$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(-29\!\cdots\!43\)	\(0\)	\(35\!\cdots\!86\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-3^{45}q^{3}+2^{90}q^{4}+\cdots\)
4.81.b.a	$4$	$81$	4.b	4.b	$2$	$1$	$1$	$162.122$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(10\!\cdots\!76\)	\(0\)	\(14\!\cdots\!26\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2^{40}q^{2}+2^{80}q^{4}+\cdots\)
3.97.b.a	$3$	$97$	3.b	3.b	$2$	$1$	$1$	$175.089$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(79\!\cdots\!61\)	\(0\)	\(60\!\cdots\!02\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+3^{48}q^{3}+2^{96}q^{4}+\cdots\)
4.85.b.a	$4$	$85$	4.b	4.b	$2$	$1$	$1$	$178.739$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(-43\!\cdots\!04\)	\(0\)	\(14\!\cdots\!86\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2^{42}q^{2}+2^{84}q^{4}+\cdots\)
7.65.b.a	$7$	$65$	7.b	7.b	$2$	$1$	$1$	$181.582$	\(\Q\)	\(\Q(\sqrt{-7}) \)	✓	$2$	$0$	\(-3615594751\)	\(0\)	\(0\)	\(11\!\cdots\!01\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-3615594751q^{2}-5374218670250799615q^{4}+\cdots\)
7.67.b.a	$7$	$67$	7.b	7.b	$2$	$1$	$1$	$193.108$	\(\Q\)	\(\Q(\sqrt{-7}) \)	✓	$2$	$0$	\(-4884385959\)	\(0\)	\(0\)	\(-77\!\cdots\!07\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-4884385959q^{2}-49929750098361856783q^{4}+\cdots\)
4.89.b.a	$4$	$89$	4.b	4.b	$2$	$1$	$1$	$196.166$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(17\!\cdots\!16\)	\(0\)	\(-11\!\cdots\!54\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2^{44}q^{2}+2^{88}q^{4}+\cdots\)
3.103.b.a	$3$	$103$	3.b	3.b	$2$	$1$	$1$	$197.659$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(-21\!\cdots\!47\)	\(0\)	\(-21\!\cdots\!86\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-3^{51}q^{3}+2^{102}q^{4}+\cdots\)
7.69.b.a	$7$	$69$	7.b	7.b	$2$	$1$	$1$	$204.988$	\(\Q\)	\(\Q(\sqrt{-7}) \)	✓	$2$	$0$	\(29115536881\)	\(0\)	\(0\)	\(54\!\cdots\!49\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+29115536881q^{2}+552566582689518382305q^{4}+\cdots\)
8.65.d.a	$8$	$65$	8.d	8.d	$2$	$1$	$1$	$207.523$	\(\Q\)	\(\Q(\sqrt{-2}) \)	✓	$2$	$0$	\(4294967296\)	\(-44\!\cdots\!86\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2^{32}q^{2}-446576570245886q^{3}+\cdots\)
4.93.b.a	$4$	$93$	4.b	4.b	$2$	$1$	$1$	$214.404$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(-70\!\cdots\!64\)	\(0\)	\(68\!\cdots\!06\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2^{46}q^{2}+2^{92}q^{4}+\cdots\)
7.71.b.a	$7$	$71$	7.b	7.b	$2$	$1$	$1$	$217.222$	\(\Q\)	\(\Q(\sqrt{-7}) \)	✓	$2$	$0$	\(-67809066807\)	\(0\)	\(0\)	\(-37\!\cdots\!43\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-67809066807q^{2}+3417477920518777871825q^{4}+\cdots\)
8.67.d.a	$8$	$67$	8.d	8.d	$2$	$1$	$1$	$220.694$	\(\Q\)	\(\Q(\sqrt{-2}) \)	✓	$2$	$0$	\(-8589934592\)	\(10\!\cdots\!54\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2^{33}q^{2}+10852461308441854q^{3}+\cdots\)
3.109.b.a	$3$	$109$	3.b	3.b	$2$	$1$	$1$	$221.596$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(58\!\cdots\!69\)	\(0\)	\(-97\!\cdots\!02\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+3^{54}q^{3}+2^{108}q^{4}+\cdots\)
7.73.b.a	$7$	$73$	7.b	7.b	$2$	$1$	$1$	$229.811$	\(\Q\)	\(\Q(\sqrt{-7}) \)	✓	$2$	$0$	\(86965052897\)	\(0\)	\(0\)	\(26\!\cdots\!01\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+86965052897q^{2}+2840553942508362878913q^{4}+\cdots\)
4.97.b.a	$4$	$97$	4.b	4.b	$2$	$1$	$1$	$233.452$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(28\!\cdots\!56\)	\(0\)	\(61\!\cdots\!66\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2^{48}q^{2}+2^{96}q^{4}+\cdots\)
8.69.d.a	$8$	$69$	8.d	8.d	$2$	$1$	$1$	$234.271$	\(\Q\)	\(\Q(\sqrt{-2}) \)	✓	$2$	$0$	\(17179869184\)	\(-17\!\cdots\!34\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2^{34}q^{2}-17685733484670734q^{3}+\cdots\)
7.75.b.a	$7$	$75$	7.b	7.b	$2$	$1$	$1$	$242.755$	\(\Q\)	\(\Q(\sqrt{-7}) \)	✓	$2$	$0$	\(10341108537\)	\(0\)	\(0\)	\(-18\!\cdots\!07\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+10341108537q^{2}-18782527405704566574415q^{4}+\cdots\)
3.115.b.a	$3$	$115$	3.b	3.b	$2$	$1$	$1$	$246.901$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(-15\!\cdots\!63\)	\(0\)	\(28\!\cdots\!86\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-3^{57}q^{3}+2^{114}q^{4}+\cdots\)
8.71.d.a	$8$	$71$	8.d	8.d	$2$	$1$	$1$	$248.254$	\(\Q\)	\(\Q(\sqrt{-2}) \)	✓	$2$	$0$	\(-34359738368\)	\(-62\!\cdots\!18\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2^{35}q^{2}-62300684806635218q^{3}+\cdots\)
4.101.b.a	$4$	$101$	4.b	4.b	$2$	$1$	$1$	$253.311$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(-11\!\cdots\!24\)	\(0\)	\(-12\!\cdots\!74\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2^{50}q^{2}+2^{100}q^{4}+\cdots\)
7.77.b.a	$7$	$77$	7.b	7.b	$2$	$1$	$1$	$256.053$	\(\Q\)	\(\Q(\sqrt{-7}) \)	✓	$2$	$0$	\(-378883537199\)	\(0\)	\(0\)	\(12\!\cdots\!49\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-378883537199q^{2}+67994871034511693346465q^{4}+\cdots\)
8.73.d.a	$8$	$73$	8.d	8.d	$2$	$1$	$1$	$262.641$	\(\Q\)	\(\Q(\sqrt{-2}) \)	✓	$2$	$0$	\(68719476736\)	\(28\!\cdots\!42\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2^{36}q^{2}+283772970975307042q^{3}+\cdots\)
7.79.b.a	$7$	$79$	7.b	7.b	$2$	$1$	$1$	$269.706$	\(\Q\)	\(\Q(\sqrt{-7}) \)	✓	$2$	$0$	\(10\!\cdots\!49\)	\(0\)	\(0\)	\(-90\!\cdots\!43\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+1095286177449q^{2}+\cdots\)
9.70.a.a	$9$	$70$	9.a	1.a	$1$	$1$	$1$	$271.363$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-15\!\cdots\!20\)	$+$	$1$	$N(\mathrm{U}(1))$	\(q-2^{69}q^{4}-150236851656715919001037875220q^{7}+\cdots\)
3.121.b.a	$3$	$121$	3.b	3.b	$2$	$1$	$1$	$273.574$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(42\!\cdots\!01\)	\(0\)	\(-69\!\cdots\!98\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+3^{60}q^{3}+2^{120}q^{4}+\cdots\)
4.105.b.a	$4$	$105$	4.b	4.b	$2$	$1$	$1$	$273.981$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(45\!\cdots\!96\)	\(0\)	\(-20\!\cdots\!14\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2^{52}q^{2}+2^{104}q^{4}+\cdots\)
8.75.d.a	$8$	$75$	8.d	8.d	$2$	$1$	$1$	$277.434$	\(\Q\)	\(\Q(\sqrt{-2}) \)	✓	$2$	$0$	\(-137438953472\)	\(-68\!\cdots\!22\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2^{37}q^{2}-6839778690897122q^{3}+\cdots\)
7.81.b.a	$7$	$81$	7.b	7.b	$2$	$1$	$1$	$283.714$	\(\Q\)	\(\Q(\sqrt{-7}) \)	✓	$2$	$0$	\(-17\!\cdots\!51\)	\(0\)	\(0\)	\(63\!\cdots\!01\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-1770324383551q^{2}+\cdots\)
8.77.d.a	$8$	$77$	8.d	8.d	$2$	$1$	$1$	$292.632$	\(\Q\)	\(\Q(\sqrt{-2}) \)	✓	$2$	$0$	\(274877906944\)	\(-25\!\cdots\!34\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2^{38}q^{2}-2540277181395969134q^{3}+\cdots\)
4.109.b.a	$4$	$109$	4.b	4.b	$2$	$1$	$1$	$295.461$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(-18\!\cdots\!84\)	\(0\)	\(10\!\cdots\!46\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2^{54}q^{2}+2^{108}q^{4}+\cdots\)
7.83.b.a	$7$	$83$	7.b	7.b	$2$	$1$	$1$	$298.076$	\(\Q\)	\(\Q(\sqrt{-7}) \)	✓	$2$	$0$	\(929828440857\)	\(0\)	\(0\)	\(-44\!\cdots\!07\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+929828440857q^{2}+\cdots\)
3.127.b.a	$3$	$127$	3.b	3.b	$2$	$1$	$1$	$301.614$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(-11\!\cdots\!27\)	\(0\)	\(-13\!\cdots\!86\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-3^{63}q^{3}+2^{126}q^{4}+\cdots\)
8.79.d.a	$8$	$79$	8.d	8.d	$2$	$1$	$1$	$308.236$	\(\Q\)	\(\Q(\sqrt{-2}) \)	✓	$2$	$0$	\(-549755813888\)	\(51\!\cdots\!66\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2^{39}q^{2}+5142112371010012366q^{3}+\cdots\)
7.85.b.a	$7$	$85$	7.b	7.b	$2$	$1$	$1$	$312.793$	\(\Q\)	\(\Q(\sqrt{-7}) \)	✓	$2$	$0$	\(42\!\cdots\!33\)	\(0\)	\(0\)	\(31\!\cdots\!49\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+4291812211633q^{2}+\cdots\)
4.113.b.a	$4$	$113$	4.b	4.b	$2$	$1$	$1$	$317.752$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(72\!\cdots\!36\)	\(0\)	\(-25\!\cdots\!94\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2^{56}q^{2}+2^{112}q^{4}+\cdots\)
9.76.a.a	$9$	$76$	9.a	1.a	$1$	$1$	$1$	$320.606$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(97\!\cdots\!00\)	$+$	$1$	$N(\mathrm{U}(1))$	\(q-2^{75}q^{4}+97488395945542679634576758400500q^{7}+\cdots\)
8.81.d.a	$8$	$81$	8.d	8.d	$2$	$1$	$1$	$324.245$	\(\Q\)	\(\Q(\sqrt{-2}) \)	✓	$2$	$0$	\(10\!\cdots\!76\)	\(12\!\cdots\!74\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2^{40}q^{2}+12578269890543697474q^{3}+\cdots\)
7.87.b.a	$7$	$87$	7.b	7.b	$2$	$1$	$1$	$327.865$	\(\Q\)	\(\Q(\sqrt{-7}) \)	✓	$2$	$0$	\(-16\!\cdots\!27\)	\(0\)	\(0\)	\(-21\!\cdots\!43\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-16594750398327q^{2}+\cdots\)
3.133.b.a	$3$	$133$	3.b	3.b	$2$	$1$	$1$	$331.023$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(30\!\cdots\!29\)	\(0\)	\(11\!\cdots\!98\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+3^{66}q^{3}+2^{132}q^{4}+\cdots\)
8.83.d.a	$8$	$83$	8.d	8.d	$2$	$1$	$1$	$340.659$	\(\Q\)	\(\Q(\sqrt{-2}) \)	✓	$2$	$0$	\(-21\!\cdots\!52\)	\(-71\!\cdots\!42\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2^{41}q^{2}-71435551120177506242q^{3}+\cdots\)
4.117.b.a	$4$	$117$	4.b	4.b	$2$	$1$	$1$	$340.853$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(-28\!\cdots\!44\)	\(0\)	\(-64\!\cdots\!34\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2^{58}q^{2}+2^{116}q^{4}+\cdots\)