Elliptic curves over $\Q$ of conductor 80586

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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
80586.a1	80586j1	80586.a	80586j	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{13} \cdot 3^{7} \cdot 11^{6} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$3.996776821$	$1$		$2$	$594880$	$1.570574$	$357911/909312$	$1.04554$	$3.73140$	$[1, -1, 0, 1611, -1648971]$	\(y^2+xy=x^3-x^2+1611x-1648971\)	888.2.0.?	$[(129, 768)]$
80586.b1	80586f1	80586.b	80586f	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{3} \cdot 3^{6} \cdot 11^{9} \cdot 37^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.6.0.1	3Ns	$9768$	$24$	$1$	$1$	$1$		$0$	$2737152$	$2.597538$	$-52326213849827/405224$	$0.95940$	$5.28997$	$[1, -1, 0, -9334386, 10979232556]$	\(y^2+xy=x^3-x^2-9334386x+10979232556\)	3.6.0.b.1, 33.12.0.a.1, 888.12.0.?, 3256.2.0.?, 9768.24.1.?	$[ ]$
80586.c1	80586s1	80586.c	80586s	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2 \cdot 3^{14} \cdot 11^{13} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$1$	$9$	$3$	$0$	$6451200$	$2.918720$	$-370656835366537/9461294340894$	$0.99190$	$5.16367$	$[1, -1, 0, -1629711, -5377870877]$	\(y^2+xy=x^3-x^2-1629711x-5377870877\)	3256.2.0.?	$[ ]$
80586.d1	80586i2	80586.d	80586i	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{5} \cdot 3^{8} \cdot 11^{3} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9768$	$12$	$0$	$2.115661825$	$1$		$4$	$645120$	$1.708744$	$27847608097366043/10656$	$0.99238$	$4.57206$	$[1, -1, 0, -625158, 190409940]$	\(y^2+xy=x^3-x^2-625158x+190409940\)	2.3.0.a.1, 132.6.0.?, 888.6.0.?, 3256.6.0.?, 9768.12.0.?	$[(457, -219)]$
80586.d2	80586i1	80586.d	80586i	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{10} \cdot 3^{7} \cdot 11^{3} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9768$	$12$	$0$	$1.057830912$	$1$		$7$	$322560$	$1.362171$	$6801760964123/4205568$	$0.94631$	$3.83582$	$[1, -1, 0, -39078, 2981556]$	\(y^2+xy=x^3-x^2-39078x+2981556\)	2.3.0.a.1, 66.6.0.a.1, 888.6.0.?, 3256.6.0.?, 9768.12.0.?	$[(105, 114)]$
80586.e1	80586q4	80586.e	80586q	$4$	$4$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{2} \cdot 3^{18} \cdot 11^{6} \cdot 37 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9768$	$48$	$0$	$5.618899633$	$1$		$14$	$1474560$	$2.168148$	$57588477431113/78653268$	$1.10515$	$4.66168$	$[1, -1, 0, -876123, -315051071]$	\(y^2+xy=x^3-x^2-876123x-315051071\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 74.6.0.?, 88.12.0.?, $\ldots$	$[(-547, 818), (-525, 323)]$
80586.e2	80586q3	80586.e	80586q	$4$	$4$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{2} \cdot 3^{9} \cdot 11^{6} \cdot 37^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9768$	$48$	$0$	$1.404724908$	$1$		$18$	$1474560$	$2.168148$	$24431916147913/202409388$	$0.99171$	$4.58578$	$[1, -1, 0, -658323, 204279961]$	\(y^2+xy=x^3-x^2-658323x+204279961\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 44.12.0-4.c.1.1, 132.24.0.?, $\ldots$	$[(399, 2039), (584, 4037)]$
80586.e3	80586q2	80586.e	80586q	$4$	$4$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{4} \cdot 3^{12} \cdot 11^{6} \cdot 37^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$4884$	$48$	$0$	$5.618899633$	$1$		$20$	$737280$	$1.821575$	$29704593673/15968016$	$0.99745$	$3.99162$	$[1, -1, 0, -70263, -1893875]$	\(y^2+xy=x^3-x^2-70263x-1893875\)	2.6.0.a.1, 12.12.0.a.1, 44.12.0-2.a.1.1, 132.24.0.?, 148.12.0.?, $\ldots$	$[(-129, 2303), (426, 6521)]$
80586.e4	80586q1	80586.e	80586q	$4$	$4$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{8} \cdot 3^{9} \cdot 11^{6} \cdot 37 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9768$	$48$	$0$	$5.618899633$	$1$		$13$	$368640$	$1.475000$	$410172407/255744$	$1.06429$	$3.61254$	$[1, -1, 0, 16857, -238595]$	\(y^2+xy=x^3-x^2+16857x-238595\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 44.12.0-4.c.1.2, 222.6.0.?, $\ldots$	$[(206, 3353), (17, 221)]$
80586.f1	80586a2	80586.f	80586a	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{8} \cdot 3^{9} \cdot 11^{10} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$1$	$1$		$0$	$2949120$	$2.673161$	$227640254228379/5131143424$	$1.01624$	$5.07509$	$[1, -1, 0, -4155828, -3195702064]$	\(y^2+xy=x^3-x^2-4155828x-3195702064\)	2.3.0.a.1, 12.6.0.a.1, 148.6.0.?, 444.12.0.?	$[ ]$
80586.f2	80586a1	80586.f	80586a	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{16} \cdot 3^{9} \cdot 11^{8} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$1$	$4$	$2$	$1$	$1474560$	$2.326588$	$55306341/293404672$	$1.20895$	$4.53450$	$[1, -1, 0, 25932, -153889840]$	\(y^2+xy=x^3-x^2+25932x-153889840\)	2.3.0.a.1, 12.6.0.b.1, 148.6.0.?, 222.6.0.?, 444.12.0.?	$[ ]$
80586.g1	80586b1	80586.g	80586b	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{5} \cdot 3^{3} \cdot 11^{6} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$7.349876938$	$1$		$0$	$95200$	$0.861753$	$-69426531/1184$	$0.88991$	$3.16613$	$[1, -1, 0, -3108, -66896]$	\(y^2+xy=x^3-x^2-3108x-66896\)	888.2.0.?	$[(2567/2, 126907/2)]$
80586.h1	80586d1	80586.h	80586d	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{3} \cdot 3^{14} \cdot 11^{3} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$1$	$1$		$0$	$165888$	$1.083191$	$-12024728171/1942056$	$0.89986$	$3.29658$	$[1, -1, 0, -4725, -140211]$	\(y^2+xy=x^3-x^2-4725x-140211\)	3256.2.0.?	$[ ]$
80586.i1	80586h2	80586.i	80586h	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2 \cdot 3^{20} \cdot 11^{9} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$3.622535738$	$4$	$2$	$2$	$14192640$	$3.375237$	$347599456998045875/13095769122$	$1.00323$	$6.06905$	$[1, -1, 0, -175471137, -894584185313]$	\(y^2+xy=x^3-x^2-175471137x-894584185313\)	2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.?	$[(17273, 1099421)]$
80586.i2	80586h1	80586.i	80586h	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{2} \cdot 3^{13} \cdot 11^{9} \cdot 37^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1.811267869$	$1$		$5$	$7096320$	$3.028660$	$97304263449875/16395160428$	$0.96810$	$5.34489$	$[1, -1, 0, -11478627, -12599668031]$	\(y^2+xy=x^3-x^2-11478627x-12599668031\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(-1708, 45809)]$
80586.j1	80586m2	80586.j	80586m	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{2} \cdot 3^{7} \cdot 11^{8} \cdot 37^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$2.151976256$	$1$		$14$	$368640$	$1.691645$	$18927429625/1987788$	$0.86300$	$3.95172$	$[1, -1, 0, -60462, 5192248]$	\(y^2+xy=x^3-x^2-60462x+5192248\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[(3, 2237), (-118, 3326)]$
80586.j2	80586m1	80586.j	80586m	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{4} \cdot 3^{8} \cdot 11^{7} \cdot 37 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$2.151976256$	$1$		$15$	$184320$	$1.345070$	$9938375/58608$	$0.82527$	$3.47958$	$[1, -1, 0, 4878, 396292]$	\(y^2+xy=x^3-x^2+4878x+396292\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(-19, 554), (3248, 183506)]$
80586.k1	80586l1	80586.k	80586l	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{6} \cdot 3^{17} \cdot 11^{7} \cdot 37^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$12165120$	$3.270145$	$5577108481460841625/233729407061568$	$0.98699$	$5.67795$	$[1, -1, 0, -40233672, 94613889024]$	\(y^2+xy=x^3-x^2-40233672x+94613889024\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
80586.k2	80586l2	80586.k	80586l	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{3} \cdot 3^{28} \cdot 11^{8} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$264$	$12$	$0$	$1$	$4$	$2$	$0$	$24330240$	$3.616718$	$625234740274982375/41585929145369928$	$1.03171$	$5.90343$	$[1, -1, 0, 19399968, 351050467752]$	\(y^2+xy=x^3-x^2+19399968x+351050467752\)	2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.?	$[ ]$
80586.l1	80586k2	80586.l	80586k	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{6} \cdot 3^{7} \cdot 11^{8} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$0$	$1105920$	$2.170284$	$115821777093625/31804608$	$0.93092$	$4.72353$	$[1, -1, 0, -1105902, -447251436]$	\(y^2+xy=x^3-x^2-1105902x-447251436\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[ ]$
80586.l2	80586k1	80586.l	80586k	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{12} \cdot 3^{8} \cdot 11^{7} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$4$	$2$	$1$	$552960$	$1.823711$	$-18927429625/15003648$	$0.87746$	$4.02810$	$[1, -1, 0, -60462, -8793900]$	\(y^2+xy=x^3-x^2-60462x-8793900\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[ ]$
80586.m1	80586n1	80586.m	80586n	$2$	$3$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{2} \cdot 3^{6} \cdot 11^{10} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4884$	$16$	$0$	$1$	$1$		$0$	$874368$	$1.927559$	$-368883625/148$	$0.87130$	$4.45224$	$[1, -1, 0, -398052, 96795540]$	\(y^2+xy=x^3-x^2-398052x+96795540\)	3.4.0.a.1, 33.8.0-3.a.1.1, 148.2.0.?, 444.8.0.?, 4884.16.0.?	$[ ]$
80586.m2	80586n2	80586.m	80586n	$2$	$3$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{6} \cdot 3^{6} \cdot 11^{10} \cdot 37^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4884$	$16$	$0$	$1$	$1$		$0$	$2623104$	$2.476864$	$103742375/3241792$	$0.95240$	$4.69133$	$[1, -1, 0, 260793, 373115133]$	\(y^2+xy=x^3-x^2+260793x+373115133\)	3.4.0.a.1, 33.8.0-3.a.1.2, 148.2.0.?, 444.8.0.?, 4884.16.0.?	$[ ]$
80586.n1	80586c1	80586.n	80586c	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{13} \cdot 3^{6} \cdot 11^{3} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$1$	$1$		$0$	$119808$	$0.885813$	$-73560059/303104$	$0.88852$	$3.00904$	$[1, -1, 0, -864, -27648]$	\(y^2+xy=x^3-x^2-864x-27648\)	3256.2.0.?	$[ ]$
80586.o1	80586e1	80586.o	80586e	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{12} \cdot 3^{7} \cdot 11^{9} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$1824768$	$2.423893$	$29303572787/16822272$	$0.99295$	$4.62719$	$[1, -1, 0, -769401, -23054355]$	\(y^2+xy=x^3-x^2-769401x-23054355\)	2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.?	$[ ]$
80586.o2	80586e2	80586.o	80586e	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{6} \cdot 3^{8} \cdot 11^{9} \cdot 37^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$0$	$3649536$	$2.770470$	$1850447497933/1079516736$	$1.23366$	$4.99414$	$[1, -1, 0, 3063879, -186352083]$	\(y^2+xy=x^3-x^2+3063879x-186352083\)	2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.?	$[ ]$
80586.p1	80586o1	80586.p	80586o	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{2} \cdot 3^{13} \cdot 11^{7} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9768$	$12$	$0$	$1$	$1$		$1$	$1290240$	$2.120895$	$11966561852617/131736132$	$1.08208$	$4.52260$	$[1, -1, 0, -518931, -142379231]$	\(y^2+xy=x^3-x^2-518931x-142379231\)	2.3.0.a.1, 66.6.0.a.1, 296.6.0.?, 9768.12.0.?	$[ ]$
80586.p2	80586o2	80586.p	80586o	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2 \cdot 3^{20} \cdot 11^{8} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9768$	$12$	$0$	$1$	$4$	$2$	$0$	$2580480$	$2.467468$	$-133667977897/42826704426$	$0.98850$	$4.68404$	$[1, -1, 0, -116001, -358107953]$	\(y^2+xy=x^3-x^2-116001x-358107953\)	2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.?	$[ ]$
80586.q1	80586p4	80586.q	80586p	$4$	$4$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{8} \cdot 3^{7} \cdot 11^{10} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.14	2B	$264$	$48$	$0$	$1$	$4$	$2$	$0$	$58982400$	$3.907562$	$19499096390516434897995817/15393430272$	$1.03382$	$7.01168$	$[1, -1, 0, -6106487481, 183670297731949]$	\(y^2+xy=x^3-x^2-6106487481x+183670297731949\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0.h.1, 24.24.0-12.h.1.4, $\ldots$	$[ ]$
80586.q2	80586p2	80586.q	80586p	$4$	$4$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{16} \cdot 3^{8} \cdot 11^{8} \cdot 37^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.2	2Cs	$132$	$48$	$0$	$1$	$4$	$2$	$2$	$29491200$	$3.560989$	$4760617885089919932457/133756441657344$	$1.01050$	$6.27540$	$[1, -1, 0, -381658041, 2869879323757]$	\(y^2+xy=x^3-x^2-381658041x+2869879323757\)	2.6.0.a.1, 4.12.0-2.a.1.2, 12.24.0-12.a.1.4, 44.24.0-44.b.1.4, 132.48.0.?	$[ ]$
80586.q3	80586p3	80586.q	80586p	$4$	$4$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{8} \cdot 3^{10} \cdot 11^{7} \cdot 37^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.14	2B	$264$	$48$	$0$	$1$	$1$		$0$	$58982400$	$3.907562$	$-4209586785160189454377/801182513521564416$	$1.01295$	$6.28968$	$[1, -1, 0, -366324921, 3111023301997]$	\(y^2+xy=x^3-x^2-366324921x+3111023301997\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.1, 22.6.0.a.1, $\ldots$	$[ ]$
80586.q4	80586p1	80586.q	80586p	$4$	$4$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{32} \cdot 3^{7} \cdot 11^{7} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.14	2B	$264$	$48$	$0$	$1$	$4$	$2$	$1$	$14745600$	$3.214417$	$1308451928740468777/194033737531392$	$0.98350$	$5.54961$	$[1, -1, 0, -24814521, 41038003309]$	\(y^2+xy=x^3-x^2-24814521x+41038003309\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.13, $\ldots$	$[ ]$
80586.r1	80586r2	80586.r	80586r	$2$	$3$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{9} \cdot 3^{6} \cdot 11^{7} \cdot 37^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$9768$	$16$	$0$	$1$	$1$		$0$	$1244160$	$2.051521$	$-13430356633/285277696$	$0.92775$	$4.24266$	$[1, -1, 0, -53928, -29585088]$	\(y^2+xy=x^3-x^2-53928x-29585088\)	3.4.0.a.1, 33.8.0-3.a.1.2, 888.8.0.?, 3256.2.0.?, 9768.16.0.?	$[ ]$
80586.r2	80586r1	80586.r	80586r	$2$	$3$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{3} \cdot 3^{6} \cdot 11^{9} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$9768$	$16$	$0$	$1$	$1$		$0$	$414720$	$1.502216$	$18191447/393976$	$0.86443$	$3.65499$	$[1, -1, 0, 5967, 1069173]$	\(y^2+xy=x^3-x^2+5967x+1069173\)	3.4.0.a.1, 33.8.0-3.a.1.1, 888.8.0.?, 3256.2.0.?, 9768.16.0.?	$[ ]$
80586.s1	80586t1	80586.s	80586t	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{23} \cdot 3^{15} \cdot 11^{6} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$1$	$9$	$3$	$0$	$23647680$	$3.366249$	$-670206957616537490521/6109179936768$	$1.09597$	$6.10186$	$[1, -1, 0, -198543780, 1076851908688]$	\(y^2+xy=x^3-x^2-198543780x+1076851908688\)	888.2.0.?	$[ ]$
80586.t1	80586g2	80586.t	80586g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{2} \cdot 3^{9} \cdot 11^{9} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$4$	$2$	$0$	$4460544$	$2.519047$	$21049724100131/147852$	$1.00395$	$5.20937$	$[1, -1, 0, -6890670, 6963781248]$	\(y^2+xy=x^3-x^2-6890670x+6963781248\)	2.3.0.a.1, 66.6.0.a.1, 444.6.0.?, 1628.6.0.?, 4884.12.0.?	$[ ]$
80586.t2	80586g1	80586.t	80586g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{4} \cdot 3^{12} \cdot 11^{9} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$4$	$2$	$1$	$2230272$	$2.172474$	$-4835382371/431568$	$0.94909$	$4.48040$	$[1, -1, 0, -422010, 113470308]$	\(y^2+xy=x^3-x^2-422010x+113470308\)	2.3.0.a.1, 132.6.0.?, 444.6.0.?, 814.6.0.?, 4884.12.0.?	$[ ]$
80586.u1	80586z1	80586.u	80586z	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{3} \cdot 3^{6} \cdot 11^{3} \cdot 37^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.6.0.1	3Ns	$9768$	$24$	$1$	$4.665296610$	$1$		$2$	$248832$	$1.398590$	$-52326213849827/405224$	$0.95940$	$4.01643$	$[1, -1, 1, -77144, -8227821]$	\(y^2+xy+y=x^3-x^2-77144x-8227821\)	3.6.0.b.1, 33.12.0.a.1, 888.12.0.?, 3256.2.0.?, 9768.24.1.?	$[(399, 4739)]$
80586.v1	80586bc2	80586.v	80586bc	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{5} \cdot 3^{8} \cdot 11^{9} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9768$	$12$	$0$	$1$	$4$	$2$	$0$	$7096320$	$2.907692$	$27847608097366043/10656$	$0.99238$	$5.84560$	$[1, -1, 1, -75644141, -253208697739]$	\(y^2+xy+y=x^3-x^2-75644141x-253208697739\)	2.3.0.a.1, 132.6.0.?, 888.6.0.?, 3256.6.0.?, 9768.12.0.?	$[ ]$
80586.v2	80586bc1	80586.v	80586bc	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{10} \cdot 3^{7} \cdot 11^{9} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9768$	$12$	$0$	$1$	$1$		$1$	$3548160$	$2.561119$	$6801760964123/4205568$	$0.94631$	$5.10937$	$[1, -1, 1, -4728461, -3954265675]$	\(y^2+xy+y=x^3-x^2-4728461x-3954265675\)	2.3.0.a.1, 66.6.0.a.1, 888.6.0.?, 3256.6.0.?, 9768.12.0.?	$[ ]$
80586.w1	80586x1	80586.w	80586x	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{3} \cdot 3^{14} \cdot 11^{9} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$3.353179682$	$1$		$2$	$1824768$	$2.282139$	$-12024728171/1942056$	$0.89986$	$4.57013$	$[1, -1, 1, -571748, 188336063]$	\(y^2+xy+y=x^3-x^2-571748x+188336063\)	3256.2.0.?	$[(1543, 53799)]$
80586.x1	80586bi2	80586.x	80586bi	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{12} \cdot 3^{8} \cdot 11^{16} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$2.618797496$	$1$		$6$	$40550400$	$3.868847$	$60607987148648054544625/35377817158176768$	$1.01831$	$6.50060$	$[1, -1, 1, -891175550, 10234893386765]$	\(y^2+xy+y=x^3-x^2-891175550x+10234893386765\)	2.3.0.a.1, 74.6.0.?, 132.6.0.?, 4884.12.0.?	$[(17625, 43459)]$
80586.x2	80586bi1	80586.x	80586bi	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{24} \cdot 3^{7} \cdot 11^{11} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1.309398748$	$1$		$9$	$20275200$	$3.522270$	$24591016773082896625/11097062309363712$	$1.00898$	$5.80928$	$[1, -1, 1, -65974910, 96808403981]$	\(y^2+xy+y=x^3-x^2-65974910x+96808403981\)	2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.?	$[(-8423, 238467)]$
80586.y1	80586bh1	80586.y	80586bh	$2$	$3$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{2} \cdot 3^{6} \cdot 11^{4} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$444$	$16$	$0$	$6.671729505$	$1$		$0$	$79488$	$0.728611$	$-368883625/148$	$0.87130$	$3.17869$	$[1, -1, 1, -3290, -71827]$	\(y^2+xy+y=x^3-x^2-3290x-71827\)	3.8.0-3.a.1.1, 148.2.0.?, 444.16.0.?	$[(2529/5, 92273/5)]$
80586.y2	80586bh2	80586.y	80586bh	$2$	$3$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{6} \cdot 3^{6} \cdot 11^{4} \cdot 37^{3} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$444$	$16$	$0$	$2.223909835$	$1$		$6$	$238464$	$1.277918$	$103742375/3241792$	$0.95240$	$3.41778$	$[1, -1, 1, 2155, -280915]$	\(y^2+xy+y=x^3-x^2+2155x-280915\)	3.8.0-3.a.1.2, 148.2.0.?, 444.16.0.?	$[(201, 2770)]$
80586.z1	80586bd1	80586.z	80586bd	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2 \cdot 3^{17} \cdot 11^{6} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$1$	$1$		$0$	$503360$	$1.794188$	$541343375/13108878$	$0.99284$	$3.96548$	$[1, -1, 1, 18490, 6180243]$	\(y^2+xy+y=x^3-x^2+18490x+6180243\)	888.2.0.?	$[ ]$
80586.ba1	80586bf2	80586.ba	80586bf	$2$	$3$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2 \cdot 3^{7} \cdot 11^{6} \cdot 37^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$9768$	$16$	$0$	$7.728300625$	$1$		$0$	$388800$	$1.727627$	$-358667682625/303918$	$1.03817$	$4.21225$	$[1, -1, 1, -161195, -24887959]$	\(y^2+xy+y=x^3-x^2-161195x-24887959\)	3.4.0.a.1, 33.8.0-3.a.1.2, 888.8.0.?, 9768.16.0.?	$[(8043/2, 697481/2)]$
80586.ba2	80586bf1	80586.ba	80586bf	$2$	$3$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{3} \cdot 3^{9} \cdot 11^{6} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$9768$	$16$	$0$	$2.576100208$	$1$		$2$	$129600$	$1.178322$	$857375/7992$	$0.90609$	$3.30668$	$[1, -1, 1, 2155, -150235]$	\(y^2+xy+y=x^3-x^2+2155x-150235\)	3.4.0.a.1, 33.8.0-3.a.1.1, 888.8.0.?, 9768.16.0.?	$[(105, 1054)]$
80586.bb1	80586bb2	80586.bb	80586bb	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2 \cdot 3^{20} \cdot 11^{3} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$4$	$2$	$0$	$1290240$	$2.176289$	$347599456998045875/13095769122$	$1.00323$	$4.79550$	$[1, -1, 1, -1450175, 672509841]$	\(y^2+xy+y=x^3-x^2-1450175x+672509841\)	2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.?	$[ ]$
80586.bb2	80586bb1	80586.bb	80586bb	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{2} \cdot 3^{13} \cdot 11^{3} \cdot 37^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$645120$	$1.829714$	$97304263449875/16395160428$	$0.96810$	$4.07134$	$[1, -1, 1, -94865, 9492189]$	\(y^2+xy+y=x^3-x^2-94865x+9492189\)	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[ ]$

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