Elliptic curve search results

Results (34 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
1160.d2	1160d1	1160.d	1160d	$2$	$2$	\( 2^{3} \cdot 5 \cdot 29 \)	\( 2^{4} \cdot 5 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$128$	$-0.376548$	$10061824/4205$	$0.80068$	$2.67806$	$[0, -1, 0, -11, -4]$	\(y^2=x^3-x^2-11x-4\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[]$
2320.a2	2320c1	2320.a	2320c	$2$	$2$	\( 2^{4} \cdot 5 \cdot 29 \)	\( 2^{4} \cdot 5 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1.210943311$	$1$		$3$	$256$	$-0.376548$	$10061824/4205$	$0.80068$	$2.43852$	$[0, 1, 0, -11, 4]$	\(y^2=x^3+x^2-11x+4\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(0, 2)]$
5800.a2	5800c1	5800.a	5800c	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 29 \)	\( 2^{4} \cdot 5^{7} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$0.858197128$	$1$		$7$	$3072$	$0.428171$	$10061824/4205$	$0.80068$	$3.29503$	$[0, 1, 0, -283, -1062]$	\(y^2=x^3+x^2-283x-1062\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(-7, 25)]$
9280.e2	9280k1	9280.e	9280k	$2$	$2$	\( 2^{6} \cdot 5 \cdot 29 \)	\( 2^{10} \cdot 5 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1.846905925$	$1$		$3$	$2048$	$-0.029974$	$10061824/4205$	$0.80068$	$2.52372$	$[0, 1, 0, -45, -77]$	\(y^2=x^3+x^2-45x-77\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(-2, 3)]$
9280.s2	9280u1	9280.s	9280u	$2$	$2$	\( 2^{6} \cdot 5 \cdot 29 \)	\( 2^{10} \cdot 5 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$2048$	$-0.029974$	$10061824/4205$	$0.80068$	$2.52372$	$[0, -1, 0, -45, 77]$	\(y^2=x^3-x^2-45x+77\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[]$
10440.bd2	10440l1	10440.bd	10440l	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 29 \)	\( 2^{4} \cdot 3^{6} \cdot 5 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$3072$	$0.172759$	$10061824/4205$	$0.80068$	$2.75450$	$[0, 0, 0, -102, 209]$	\(y^2=x^3-102x+209\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[]$
11600.bb2	11600d1	11600.bb	11600d	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 29 \)	\( 2^{4} \cdot 5^{7} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$4.952865658$	$1$		$1$	$6144$	$0.428171$	$10061824/4205$	$0.80068$	$3.05099$	$[0, -1, 0, -283, 1062]$	\(y^2=x^3-x^2-283x+1062\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(34/3, 154/3)]$
20880.bk2	20880bd1	20880.bk	20880bd	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 29 \)	\( 2^{4} \cdot 3^{6} \cdot 5 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$6144$	$0.172759$	$10061824/4205$	$0.80068$	$2.56255$	$[0, 0, 0, -102, -209]$	\(y^2=x^3-102x-209\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[]$
33640.c2	33640a1	33640.c	33640a	$2$	$2$	\( 2^{3} \cdot 5 \cdot 29^{2} \)	\( 2^{4} \cdot 5 \cdot 29^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$4.302120801$	$1$		$3$	$107520$	$1.307100$	$10061824/4205$	$0.80068$	$3.75121$	$[0, 1, 0, -9531, -191966]$	\(y^2=x^3+x^2-9531x-191966\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(-63, 403)]$
46400.p2	46400ce1	46400.p	46400ce	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 29 \)	\( 2^{10} \cdot 5^{7} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1.266049543$	$1$		$3$	$49152$	$0.774745$	$10061824/4205$	$0.80068$	$3.04441$	$[0, 1, 0, -1133, 7363]$	\(y^2=x^3+x^2-1133x+7363\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(43, 200)]$
46400.cc2	46400s1	46400.cc	46400s	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 29 \)	\( 2^{10} \cdot 5^{7} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$49152$	$0.774745$	$10061824/4205$	$0.80068$	$3.04441$	$[0, -1, 0, -1133, -7363]$	\(y^2=x^3-x^2-1133x-7363\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[]$
52200.d2	52200cf1	52200.d	52200cf	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 29 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{7} \cdot 29^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1.330988522$	$1$		$17$	$73728$	$0.977477$	$10061824/4205$	$0.80068$	$3.23536$	$[0, 0, 0, -2550, 26125]$	\(y^2=x^3-2550x+26125\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(90, 725), (-30, 275)]$
56840.c2	56840n1	56840.c	56840n	$2$	$2$	\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 29 \)	\( 2^{4} \cdot 5 \cdot 7^{6} \cdot 29^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$3.124925087$	$1$		$11$	$36864$	$0.596408$	$10061824/4205$	$0.80068$	$2.79250$	$[0, 1, 0, -555, 2470]$	\(y^2=x^3+x^2-555x+2470\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(3, 29), (-1, 55)]$
67280.v2	67280b1	67280.v	67280b	$2$	$2$	\( 2^{4} \cdot 5 \cdot 29^{2} \)	\( 2^{4} \cdot 5 \cdot 29^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$13.44277572$	$1$		$1$	$215040$	$1.307100$	$10061824/4205$	$0.80068$	$3.51731$	$[0, -1, 0, -9531, 191966]$	\(y^2=x^3-x^2-9531x+191966\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(-204374/75, 295003126/75)]$
83520.b2	83520es1	83520.b	83520es	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 29 \)	\( 2^{10} \cdot 3^{6} \cdot 5 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1.296317227$	$1$		$5$	$49152$	$0.519332$	$10061824/4205$	$0.80068$	$2.61606$	$[0, 0, 0, -408, -1672]$	\(y^2=x^3-408x-1672\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(-7, 29)]$
83520.de2	83520bc1	83520.de	83520bc	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 29 \)	\( 2^{10} \cdot 3^{6} \cdot 5 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$49152$	$0.519332$	$10061824/4205$	$0.80068$	$2.61606$	$[0, 0, 0, -408, 1672]$	\(y^2=x^3-408x+1672\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[]$
104400.fv2	104400bs1	104400.fv	104400bs	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 29 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{7} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$2.799112425$	$1$		$3$	$147456$	$0.977477$	$10061824/4205$	$0.80068$	$3.04129$	$[0, 0, 0, -2550, -26125]$	\(y^2=x^3-2550x-26125\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(635, 15950)]$
113680.bw2	113680h1	113680.bw	113680h	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 29 \)	\( 2^{4} \cdot 5 \cdot 7^{6} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$10.38571575$	$1$		$1$	$73728$	$0.596408$	$10061824/4205$	$0.80068$	$2.62623$	$[0, -1, 0, -555, -2470]$	\(y^2=x^3-x^2-555x-2470\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(149237/46, 53687787/46)]$
140360.u2	140360bd1	140360.u	140360bd	$2$	$2$	\( 2^{3} \cdot 5 \cdot 11^{2} \cdot 29 \)	\( 2^{4} \cdot 5 \cdot 11^{6} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1.499810840$	$1$		$3$	$184320$	$0.822400$	$10061824/4205$	$0.80068$	$2.80833$	$[0, -1, 0, -1371, 10760]$	\(y^2=x^3-x^2-1371x+10760\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(59, 363)]$
168200.r2	168200i1	168200.r	168200i	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 29^{2} \)	\( 2^{4} \cdot 5^{7} \cdot 29^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$2580480$	$2.111820$	$10061824/4205$	$0.80068$	$4.05199$	$[0, -1, 0, -238283, -23519188]$	\(y^2=x^3-x^2-238283x-23519188\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[]$
196040.u2	196040x1	196040.u	196040x	$2$	$2$	\( 2^{3} \cdot 5 \cdot 13^{2} \cdot 29 \)	\( 2^{4} \cdot 5 \cdot 13^{6} \cdot 29^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$12.09514285$	$1$		$5$	$245760$	$0.905927$	$10061824/4205$	$0.80068$	$2.81358$	$[0, -1, 0, -1915, -16368]$	\(y^2=x^3-x^2-1915x-16368\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(-33, 99), (-293/3, 2755/3)]$
269120.d2	269120d1	269120.d	269120d	$2$	$2$	\( 2^{6} \cdot 5 \cdot 29^{2} \)	\( 2^{10} \cdot 5 \cdot 29^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$4.598779941$	$1$		$1$	$1720320$	$1.653673$	$10061824/4205$	$0.80068$	$3.45995$	$[0, 1, 0, -38125, 1497603]$	\(y^2=x^3+x^2-38125x+1497603\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(-1149/5, 222024/5)]$
269120.cp2	269120cp1	269120.cp	269120cp	$2$	$2$	\( 2^{6} \cdot 5 \cdot 29^{2} \)	\( 2^{10} \cdot 5 \cdot 29^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$4$	$2$	$1$	$1720320$	$1.653673$	$10061824/4205$	$0.80068$	$3.45995$	$[0, -1, 0, -38125, -1497603]$	\(y^2=x^3-x^2-38125x-1497603\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[]$
280720.q2	280720q1	280720.q	280720q	$2$	$2$	\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 29 \)	\( 2^{4} \cdot 5 \cdot 11^{6} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$2.703677304$	$1$		$1$	$368640$	$0.822400$	$10061824/4205$	$0.80068$	$2.65316$	$[0, 1, 0, -1371, -10760]$	\(y^2=x^3+x^2-1371x-10760\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(-115/2, 605/2)]$
284200.cd2	284200cd1	284200.cd	284200cd	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 29 \)	\( 2^{4} \cdot 5^{7} \cdot 7^{6} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$884736$	$1.401127$	$10061824/4205$	$0.80068$	$3.20360$	$[0, -1, 0, -13883, 336512]$	\(y^2=x^3-x^2-13883x+336512\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[]$
302760.cq2	302760cq1	302760.cq	302760cq	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 29^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 5 \cdot 29^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$4$	$2$	$1$	$2580480$	$1.856407$	$10061824/4205$	$0.80068$	$3.62043$	$[0, 0, 0, -85782, 5097301]$	\(y^2=x^3-85782x+5097301\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[]$
335240.a2	335240a1	335240.a	335240a	$2$	$2$	\( 2^{3} \cdot 5 \cdot 17^{2} \cdot 29 \)	\( 2^{4} \cdot 5 \cdot 17^{6} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$663552$	$1.040058$	$10061824/4205$	$0.80068$	$2.82145$	$[0, 1, 0, -3275, -39122]$	\(y^2=x^3+x^2-3275x-39122\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[]$
336400.p2	336400p1	336400.p	336400p	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 29^{2} \)	\( 2^{4} \cdot 5^{7} \cdot 29^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$9.874611807$	$1$		$1$	$5160960$	$2.111820$	$10061824/4205$	$0.80068$	$3.83129$	$[0, 1, 0, -238283, 23519188]$	\(y^2=x^3+x^2-238283x+23519188\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(-13104/5, 270494/5)]$
392080.h2	392080h1	392080.h	392080h	$2$	$2$	\( 2^{4} \cdot 5 \cdot 13^{2} \cdot 29 \)	\( 2^{4} \cdot 5 \cdot 13^{6} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$4$	$2$	$1$	$491520$	$0.905927$	$10061824/4205$	$0.80068$	$2.66216$	$[0, 1, 0, -1915, 16368]$	\(y^2=x^3+x^2-1915x+16368\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[]$
417600.bg2	417600bg1	417600.bg	417600bg	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 29 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{7} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$1179648$	$1.324051$	$10061824/4205$	$0.80068$	$3.03687$	$[0, 0, 0, -10200, 209000]$	\(y^2=x^3-10200x+209000\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[]$
417600.ou2	417600ou1	417600.ou	417600ou	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 29 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{7} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$6.277029493$	$1$		$1$	$1179648$	$1.324051$	$10061824/4205$	$0.80068$	$3.03687$	$[0, 0, 0, -10200, -209000]$	\(y^2=x^3-10200x-209000\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(-2151/5, 22243/5)]$
418760.b2	418760b1	418760.b	418760b	$2$	$2$	\( 2^{3} \cdot 5 \cdot 19^{2} \cdot 29 \)	\( 2^{4} \cdot 5 \cdot 19^{6} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1.245860613$	$1$		$7$	$921600$	$1.095673$	$10061824/4205$	$0.80068$	$2.82451$	$[0, 1, 0, -4091, 51730]$	\(y^2=x^3+x^2-4091x+51730\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(-51, 361)]$
454720.k2	454720k1	454720.k	454720k	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 29 \)	\( 2^{10} \cdot 5 \cdot 7^{6} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$589824$	$0.942981$	$10061824/4205$	$0.80068$	$2.66600$	$[0, 1, 0, -2221, -21981]$	\(y^2=x^3+x^2-2221x-21981\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[]$
454720.ep2	454720ep1	454720.ep	454720ep	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 29 \)	\( 2^{10} \cdot 5 \cdot 7^{6} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$6.855015406$	$1$		$1$	$589824$	$0.942981$	$10061824/4205$	$0.80068$	$2.66600$	$[0, -1, 0, -2221, 21981]$	\(y^2=x^3-x^2-2221x+21981\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(937/12, 152243/12)]$