LMFDB - Elliptic curves over $\Q$ of conductor 316050

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
316050.a1	316050a2	316050.a	316050a	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{5} \cdot 3^{2} \cdot 5^{15} \cdot 7^{8} \cdot 43^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$5160$	$16$	$0$	$18.87576303$	$1$	$0$	$111041280$	$3.472263$	$-647546883671488129/44722687500000$	$1.00928$	$5.23929$	$[1, 1, 0, -80794900, -295770770000]$	$y^2+xy=x^3+x^2-80794900x-295770770000$	3.4.0.a.1, 15.8.0-3.a.1.1, 1032.8.0.?, 1720.2.0.?, 5160.16.0.?	$[(271132069/19, 4461591295930/19)]$
316050.a2	316050a1	316050.a	316050a	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{15} \cdot 3^{6} \cdot 5^{9} \cdot 7^{8} \cdot 43 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$5160$	$16$	$0$	$6.291921012$	$1$	$2$	$37013760$	$2.922958$	$220399518479231/128397312000$	$1.04764$	$4.59981$	$[1, 1, 0, 5641100, -418958000]$	$y^2+xy=x^3+x^2+5641100x-418958000$	3.4.0.a.1, 15.8.0-3.a.1.2, 1032.8.0.?, 1720.2.0.?, 5160.16.0.?	$[(829, 69070)]$
316050.b1	316050b1	316050.b	316050b	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 2^{13} \cdot 3^{4} \cdot 5^{2} \cdot 7^{8} \cdot 43^{4} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	8.2.0.2		$8$	$2$	$0$	$2.553503995$	$1$	$4$	$21385728$	$2.629204$	$4541660054465905/2268552241152$	$0.97511$	$4.33036$	$[1, 1, 0, -1808860, -347174960]$	$y^2+xy=x^3+x^2-1808860x-347174960$	8.2.0.b.1	$[(-1211, 8926)]$
316050.c1	316050c1	316050.c	316050c	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 2^{29} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 43^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	8.2.0.2		$8$	$2$	$0$	$1$	$1$	$0$	$138142080$	$3.779438$	$122481611103609136727531785/8934068846592$	$1.03602$	$6.06755$	$[1, 1, 0, -2767585825, -56041363932875]$	$y^2+xy=x^3+x^2-2767585825x-56041363932875$	8.2.0.b.1	$[]$
316050.d1	316050d1	316050.d	316050d	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{7} \cdot 3^{14} \cdot 5^{9} \cdot 7^{2} \cdot 43 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1720$	$2$	$0$	$1$	$1$	$0$	$13453440$	$2.428787$	$-16546963371910517/26325461376$	$0.96314$	$4.40035$	$[1, 1, 0, -2428325, 1457482125]$	$y^2+xy=x^3+x^2-2428325x+1457482125$	1720.2.0.?	$[]$
316050.e1	316050e1	316050.e	316050e	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 2^{4} \cdot 3^{11} \cdot 5^{2} \cdot 7^{7} \cdot 43 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$3612$	$2$	$0$	$1$	$1$	$0$	$2230272$	$1.727142$	$25181318671105/853139952$	$0.90078$	$3.61282$	$[1, 1, 0, -87490, -9701180]$	$y^2+xy=x^3+x^2-87490x-9701180$	3612.2.0.?	$[]$
316050.f1	316050f1	316050.f	316050f	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{5} \cdot 3^{3} \cdot 5^{13} \cdot 7^{9} \cdot 43 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$36120$	$2$	$0$	$1$	$1$	$0$	$20321280$	$2.765011$	$1787862255353/2902500000$	$0.91556$	$4.41994$	$[1, 1, 0, 2168225, 1652033125]$	$y^2+xy=x^3+x^2+2168225x+1652033125$	36120.2.0.?	$[]$
316050.g1	316050g1	316050.g	316050g	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{5} \cdot 3^{4} \cdot 5^{9} \cdot 7^{6} \cdot 43 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1720$	$2$	$0$	$3.408101544$	$1$	$2$	$4354560$	$1.840931$	$-10091699281/13932000$	$0.89938$	$3.59980$	$[1, 1, 0, -55150, -9195500]$	$y^2+xy=x^3+x^2-55150x-9195500$	1720.2.0.?	$[(295, 415)]$
316050.h1	316050h2	316050.h	316050h	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 7^{10} \cdot 43^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$4.070455868$	$1$	$12$	$2654208$	$1.819086$	$16661484415421/479460492$	$0.90478$	$3.70729$	$[1, 1, 0, -130365, -17715375]$	$y^2+xy=x^3+x^2-130365x-17715375$	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[(-190, 585), (496, 6073)]$
316050.h2	316050h1	316050.h	316050h	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{4} \cdot 3^{6} \cdot 5^{3} \cdot 7^{8} \cdot 43 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$4.070455868$	$1$	$15$	$1327104$	$1.472511$	$54439939/24576048$	$0.92429$	$3.23560$	$[1, 1, 0, 1935, -913275]$	$y^2+xy=x^3+x^2+1935x-913275$	2.3.0.a.1, 60.6.0.b.1, 430.6.0.?, 516.6.0.?, 2580.12.0.?	$[(279, 4491), (965, 29530)]$
316050.i1	316050i1	316050.i	316050i	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 2^{17} \cdot 3^{5} \cdot 5^{6} \cdot 7^{7} \cdot 43^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$7224$	$2$	$0$	$1$	$1$	$0$	$27417600$	$3.050472$	$146797702716641761/17726361698304$	$0.98031$	$4.80587$	$[1, 1, 0, -13462775, 16907791125]$	$y^2+xy=x^3+x^2-13462775x+16907791125$	7224.2.0.?	$[]$
316050.j1	316050j2	316050.j	316050j	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 2^{2} \cdot 3^{4} \cdot 5^{6} \cdot 7^{12} \cdot 43 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1204$	$12$	$0$	$2.106329014$	$1$	$4$	$7962624$	$2.330696$	$68644006908625/1639085868$	$0.93629$	$4.20037$	$[1, 1, 0, -1044950, 402135000]$	$y^2+xy=x^3+x^2-1044950x+402135000$	2.3.0.a.1, 28.6.0.c.1, 172.6.0.?, 1204.12.0.?	$[(125, 16475)]$
316050.j2	316050j1	316050.j	316050j	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{4} \cdot 3^{2} \cdot 5^{6} \cdot 7^{9} \cdot 43^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1204$	$12$	$0$	$1.053164507$	$1$	$7$	$3981312$	$1.984121$	$37595375/91325808$	$0.98395$	$3.72061$	$[1, 1, 0, 8550, 19714500]$	$y^2+xy=x^3+x^2+8550x+19714500$	2.3.0.a.1, 14.6.0.b.1, 172.6.0.?, 1204.12.0.?	$[(-85, 4330)]$
316050.k1	316050k5	316050.k	316050k	$6$	$8$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 2 \cdot 3^{24} \cdot 5^{7} \cdot 7^{7} \cdot 43^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.98	2B	$72240$	$192$	$1$	$7.497971336$	$1$	$0$	$169869312$	$3.877254$	$38155400780307000215761/36554854906735830$	$0.99158$	$5.79043$	$[1, 1, 0, -859172150, 9684842433750]$	$y^2+xy=x^3+x^2-859172150x+9684842433750$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.4, 48.48.0-48.e.1.14, 140.12.0.?, $\ldots$	$[(156625/3, 1426475/3)]$
316050.k2	316050k3	316050.k	316050k	$6$	$8$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 2^{2} \cdot 3^{12} \cdot 5^{8} \cdot 7^{8} \cdot 43^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.19	2Cs	$36120$	$192$	$1$	$3.748985668$	$1$	$6$	$84934656$	$3.530682$	$17623111911423122161/8902766008980900$	$0.98465$	$5.18396$	$[1, 1, 0, -66413400, 74228107500]$	$y^2+xy=x^3+x^2-66413400x+74228107500$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.6, 24.48.0-24.i.2.30, 140.24.0.?, $\ldots$	$[(1015, 88180)]$
316050.k3	316050k2	316050.k	316050k	$6$	$8$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 2^{4} \cdot 3^{6} \cdot 5^{10} \cdot 7^{10} \cdot 43^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.26	2Cs	$36120$	$192$	$1$	$7.497971336$	$1$	$2$	$42467328$	$3.184109$	$2901695454230474161/32363583210000$	$0.95478$	$5.04151$	$[1, 1, 0, -36400900, -83727680000]$	$y^2+xy=x^3+x^2-36400900x-83727680000$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.4, 24.48.0-24.i.1.21, 140.24.0.?, $\ldots$	$[(1128244/3, 1195306976/3)]$
316050.k4	316050k1	316050.k	316050k	$6$	$8$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7^{8} \cdot 43 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.11	2B	$72240$	$192$	$1$	$14.99594267$	$1$	$1$	$21233664$	$2.837536$	$2878322302309310641/364089600$	$1.02684$	$5.04087$	$[1, 1, 0, -36302900, -84205038000]$	$y^2+xy=x^3+x^2-36302900x-84205038000$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.3, 24.24.0-8.n.1.8, $\ldots$	$[(82112824/51, 727303565300/51)]$
316050.k5	316050k4	316050.k	316050k	$6$	$8$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{2} \cdot 3^{3} \cdot 5^{14} \cdot 7^{14} \cdot 43 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.11	2B	$72240$	$192$	$1$	$14.99594267$	$1$	$0$	$84934656$	$3.530682$	$-30301585803604081/10457709314062500$	$1.00940$	$5.18607$	$[1, 1, 0, -7956400, -211130595500]$	$y^2+xy=x^3+x^2-7956400x-211130595500$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.3, 24.24.0.bz.2, $\ldots$	$[(1083859759/93, 35621682100841/93)]$
316050.k6	316050k6	316050.k	316050k	$6$	$8$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2 \cdot 3^{6} \cdot 5^{7} \cdot 7^{7} \cdot 43^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.96	2B	$72240$	$192$	$1$	$7.497971336$	$1$	$2$	$169869312$	$3.877254$	$897202243101560563439/596448860165979030$	$1.00050$	$5.49430$	$[1, 1, 0, 246145350, 573384431250]$	$y^2+xy=x^3+x^2+246145350x+573384431250$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 24.48.0-24.bz.1.16, 140.12.0.?, $\ldots$	$[(501109, 354654826)]$
316050.l1	316050l4	316050.l	316050l	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 2 \cdot 3^{8} \cdot 5^{7} \cdot 7^{7} \cdot 43 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$12040$	$48$	$0$	$4.954019739$	$1$	$2$	$18874368$	$2.661247$	$457674096098484721/19748610$	$0.94579$	$4.89567$	$[1, 1, 0, -19667400, -33579524250]$	$y^2+xy=x^3+x^2-19667400x-33579524250$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 56.12.0.y.1, 280.24.0.?, $\ldots$	$[(6369, 312351)]$
316050.l2	316050l3	316050.l	316050l	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 2 \cdot 3^{2} \cdot 5^{10} \cdot 7^{7} \cdot 43^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$12040$	$48$	$0$	$1.238504934$	$1$	$6$	$18874368$	$2.661247$	$483385461758641/269230578750$	$0.94860$	$4.35450$	$[1, 1, 0, -2002900, 210606250]$	$y^2+xy=x^3+x^2-2002900x+210606250$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 56.12.0.s.1, 140.12.0.?, $\ldots$	$[(15, 13430)]$
316050.l3	316050l2	316050.l	316050l	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 2^{2} \cdot 3^{4} \cdot 5^{8} \cdot 7^{8} \cdot 43^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$12040$	$48$	$0$	$2.477009869$	$1$	$8$	$9437184$	$2.314671$	$112266169661521/733868100$	$0.89711$	$4.23922$	$[1, 1, 0, -1231150, -523328000]$	$y^2+xy=x^3+x^2-1231150x-523328000$	2.6.0.a.1, 40.12.0-2.a.1.1, 56.12.0.b.1, 140.12.0.?, 280.24.0.?, $\ldots$	$[(-655, 1940)]$
316050.l4	316050l1	316050.l	316050l	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{4} \cdot 3^{2} \cdot 5^{7} \cdot 7^{10} \cdot 43 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$12040$	$48$	$0$	$1.238504934$	$1$	$7$	$4718592$	$1.968098$	$-1732323601/74334960$	$0.88263$	$3.70543$	$[1, 1, 0, -30650, -17917500]$	$y^2+xy=x^3+x^2-30650x-17917500$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 56.12.0.y.1, 140.12.0.?, $\ldots$	$[(440, 7130)]$
316050.m1	316050m1	316050.m	316050m	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{20} \cdot 3^{7} \cdot 5^{2} \cdot 7^{2} \cdot 43^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$1.623573988$	$1$	$4$	$2822400$	$1.826727$	$-347508332343077185/4240192831488$	$1.15066$	$3.75256$	$[1, 1, 0, -156720, 24065280]$	$y^2+xy=x^3+x^2-156720x+24065280$	6.2.0.a.1	$[(224, 400)]$
316050.n1	316050n2	316050.n	316050n	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 2^{7} \cdot 3^{5} \cdot 5^{12} \cdot 7^{6} \cdot 43^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$5160$	$12$	$0$	$7.696772086$	$1$	$2$	$69672960$	$3.329662$	$503835593418244309249/898614000000$	$1.01669$	$5.44873$	$[1, 1, 0, -203075625, 1113784453125]$	$y^2+xy=x^3+x^2-203075625x+1113784453125$	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(19991, 2235846)]$
316050.n2	316050n1	316050.n	316050n	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{14} \cdot 3^{10} \cdot 5^{9} \cdot 7^{6} \cdot 43 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$5160$	$12$	$0$	$3.848386043$	$1$	$5$	$34836480$	$2.983089$	$-119305480789133569/5200091136000$	$0.98567$	$4.79523$	$[1, 1, 0, -12563625, 17768917125]$	$y^2+xy=x^3+x^2-12563625x+17768917125$	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(-2409, 185763)]$
316050.o1	316050o1	316050.o	316050o	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{3} \cdot 3^{11} \cdot 5^{9} \cdot 7^{9} \cdot 43 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$36120$	$2$	$0$	$1$	$1$	$0$	$22809600$	$2.852806$	$-15247457309573/20901928824$	$0.92291$	$4.55875$	$[1, 1, 0, -3164200, 3975019000]$	$y^2+xy=x^3+x^2-3164200x+3975019000$	36120.2.0.?	$[]$
316050.p1	316050p1	316050.p	316050p	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 2^{2} \cdot 3 \cdot 5^{8} \cdot 7^{13} \cdot 43 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$3612$	$2$	$0$	$1$	$1$	$0$	$17740800$	$2.758053$	$6481741193568265/424948188$	$0.93565$	$4.81368$	$[1, 1, 0, -13913575, -19980560375]$	$y^2+xy=x^3+x^2-13913575x-19980560375$	3612.2.0.?	$[]$
316050.q1	316050q1	316050.q	316050q	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{23} \cdot 3^{11} \cdot 5^{15} \cdot 7^{11} \cdot 43 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$36120$	$2$	$0$	$64.14152147$	$1$	$0$	$1888634880$	$5.132576$	$2682764238865722971266721231/2097550361346048000000000$	$1.03663$	$6.67175$	$[1, 1, 0, 35461384500, -1522881679950000]$	$y^2+xy=x^3+x^2+35461384500x-1522881679950000$	36120.2.0.?	$[(3566197841784671138295631635925/6336262374252, 12262447044918073457278584391968088021304507825/6336262374252)]$
316050.r1	316050r1	316050.r	316050r	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7^{6} \cdot 43 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$86$	$2$	$0$	$5.505342952$	$1$	$2$	$5184000$	$2.066208$	$-75988526665/3566592$	$0.91245$	$3.92326$	$[1, 1, 0, -316075, -71247875]$	$y^2+xy=x^3+x^2-316075x-71247875$	86.2.0.?	$[(9414, 907085)]$
316050.s1	316050s2	316050.s	316050s	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{54} \cdot 3^{2} \cdot 5^{8} \cdot 7^{12} \cdot 43^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1806$	$16$	$0$	$1$	$1$	$0$	$12429158400$	$6.018799$	$-27041109942462052861778170892665/1516547027394309115827191808$	$1.05131$	$7.66117$	$[1, 1, 0, -2239836712950, 1351319791447516500]$	$y^2+xy=x^3+x^2-2239836712950x+1351319791447516500$	3.4.0.a.1, 21.8.0-3.a.1.2, 86.2.0.?, 258.8.0.?, 1806.16.0.?	$[]$
316050.s2	316050s1	316050.s	316050s	$2$	$3$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{18} \cdot 3^{6} \cdot 5^{8} \cdot 7^{8} \cdot 43^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1806$	$16$	$0$	$1$	$1$	$0$	$4143052800$	$5.469498$	$7928699789003062747206470135/4706300248980447245893632$	$1.06621$	$7.01150$	$[1, 1, 0, 148802026425, 3542062979467125]$	$y^2+xy=x^3+x^2+148802026425x+3542062979467125$	3.4.0.a.1, 21.8.0-3.a.1.1, 86.2.0.?, 258.8.0.?, 1806.16.0.?	$[]$
316050.t1	316050t1	316050.t	316050t	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 2^{2} \cdot 3 \cdot 5^{8} \cdot 7^{3} \cdot 43 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$3612$	$2$	$0$	$0.447870169$	$1$	$4$	$376320$	$0.772649$	$1026895/516$	$0.76390$	$2.57077$	$[1, 1, 0, -1075, -5375]$	$y^2+xy=x^3+x^2-1075x-5375$	3612.2.0.?	$[(-15, 95)]$
316050.u1	316050u1	316050.u	316050u	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{2} \cdot 3^{6} \cdot 5^{4} \cdot 7^{8} \cdot 43 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$86$	$2$	$0$	$1$	$1$	$0$	$1714176$	$1.495518$	$-956818825/6144012$	$0.87394$	$3.26013$	$[1, 1, 0, -8600, -1071300]$	$y^2+xy=x^3+x^2-8600x-1071300$	86.2.0.?	$[]$
316050.v1	316050v1	316050.v	316050v	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 2^{12} \cdot 3^{7} \cdot 5^{10} \cdot 7^{3} \cdot 43 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$3612$	$2$	$0$	$1$	$1$	$0$	$7418880$	$2.182613$	$1396860069175/385191936$	$0.93084$	$3.94020$	$[1, 1, 0, -348450, 57136500]$	$y^2+xy=x^3+x^2-348450x+57136500$	3612.2.0.?	$[]$
316050.w1	316050w1	316050.w	316050w	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{10} \cdot 3^{7} \cdot 5^{8} \cdot 7^{4} \cdot 43^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$1.195696601$	$1$	$4$	$7660800$	$2.281628$	$-14189342557705/4140813312$	$0.93816$	$4.05499$	$[1, 1, 0, -493700, 163554000]$	$y^2+xy=x^3+x^2-493700x+163554000$	6.2.0.a.1	$[(-440, 17420)]$
316050.x1	316050x1	316050.x	316050x	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2 \cdot 3^{2} \cdot 5^{9} \cdot 7^{8} \cdot 43 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1720$	$2$	$0$	$1$	$1$	$0$	$2325120$	$1.762531$	$-1437653/774$	$0.81563$	$3.54467$	$[1, 1, 0, -52700, 6447750]$	$y^2+xy=x^3+x^2-52700x+6447750$	1720.2.0.?	$[]$
316050.y1	316050y1	316050.y	316050y	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{7} \cdot 3^{2} \cdot 5^{3} \cdot 7^{10} \cdot 43^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1720$	$2$	$0$	$6.416718359$	$1$	$2$	$7281792$	$2.240204$	$130745112547/91592064$	$0.93577$	$3.93914$	$[1, 1, 0, 346895, -35938475]$	$y^2+xy=x^3+x^2+346895x-35938475$	1720.2.0.?	$[(679, 22315)]$
316050.z1	316050z1	316050.z	316050z	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2 \cdot 3^{2} \cdot 5^{9} \cdot 7^{4} \cdot 43 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1720$	$2$	$0$	$1.222853283$	$1$	$10$	$601344$	$1.091227$	$-5764801/96750$	$1.02022$	$2.87506$	$[1, 1, 0, -1250, -93750]$	$y^2+xy=x^3+x^2-1250x-93750$	1720.2.0.?	$[(125, 1250), (1375/2, 49375/2)]$
316050.ba1	316050ba1	316050.ba	316050ba	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{11} \cdot 3^{5} \cdot 5^{6} \cdot 7^{8} \cdot 43^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$24$	$2$	$0$	$1$	$1$	$0$	$13970880$	$2.511311$	$1543208288447/920180736$	$1.05840$	$4.20801$	$[1, 1, 0, 1079200, 75648000]$	$y^2+xy=x^3+x^2+1079200x+75648000$	24.2.0.b.1	$[]$
316050.bb1	316050bb1	316050.bb	316050bb	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{2} \cdot 3^{19} \cdot 5^{6} \cdot 7^{6} \cdot 43 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$516$	$2$	$0$	$85.22282619$	$1$	$0$	$31026240$	$3.064102$	$-9500554530751882177/199908972324$	$1.04122$	$5.13517$	$[1, 1, 0, -54051925, -152980721375]$	$y^2+xy=x^3+x^2-54051925x-152980721375$	516.2.0.?	$[(9968123191075395429989886463466233116/32787686113813879, 13172715387256904162764144407341346251335880916975180547/32787686113813879)]$
316050.bc1	316050bc1	316050.bc	316050bc	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{15} \cdot 3^{9} \cdot 5^{9} \cdot 7^{3} \cdot 43 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$36120$	$2$	$0$	$2.993363578$	$1$	$2$	$8709120$	$2.472477$	$-106081089828872887/3466727424000$	$0.96145$	$4.32358$	$[1, 1, 0, -1725875, 896278125]$	$y^2+xy=x^3+x^2-1725875x+896278125$	36120.2.0.?	$[(475, 13325)]$
316050.bd1	316050bd1	316050.bd	316050bd	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2 \cdot 3 \cdot 5^{8} \cdot 7^{10} \cdot 43 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1032$	$2$	$0$	$14.22382144$	$1$	$0$	$3800160$	$2.038380$	$-111850585/258$	$0.89228$	$4.01711$	$[1, 1, 0, -481450, -129037250]$	$y^2+xy=x^3+x^2-481450x-129037250$	1032.2.0.?	$[(8605065/103, 3775513190/103)]$
316050.be1	316050be3	316050.be	316050be	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 2^{8} \cdot 3^{5} \cdot 5^{9} \cdot 7^{8} \cdot 43 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$36120$	$48$	$0$	$82.76439747$	$1$	$0$	$14438891520$	$6.048027$	$73787408641299636275795674005528576001/16384032000$	$1.06633$	$8.56991$	$[1, 1, 0, -107042342400025, 426266766298749185125]$	$y^2+xy=x^3+x^2-107042342400025x+426266766298749185125$	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.ba.1, 280.24.0.?, $\ldots$	$[(7319659734274172997503911964130874595/746364021501526, 14921028584441616383108833476865202915464193706655487915/746364021501526)]$
316050.be2	316050be2	316050.be	316050be	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 2^{16} \cdot 3^{10} \cdot 5^{12} \cdot 7^{10} \cdot 43^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$18060$	$48$	$0$	$41.38219873$	$1$	$2$	$7219445760$	$5.701454$	$18014504063010568295941668865536001/268436504577024000000$	$1.05395$	$7.91308$	$[1, 1, 0, -6690146400025, 6660416132697185125]$	$y^2+xy=x^3+x^2-6690146400025x+6660416132697185125$	2.6.0.a.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 140.24.0.?, 516.12.0.?, $\ldots$	$[(-170819121992269233805/10244698, 3912919317537003523695306595445/10244698)]$
316050.be3	316050be4	316050.be	316050be	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{8} \cdot 3^{20} \cdot 5^{9} \cdot 7^{14} \cdot 43^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$36120$	$48$	$0$	$20.69109936$	$1$	$0$	$14438891520$	$6.048027$	$-18012920806467084239396143082496001/2199040435471515713536032000$	$1.05395$	$7.91309$	$[1, 1, 0, -6689950400025, 6660825902645185125]$	$y^2+xy=x^3+x^2-6689950400025x+6660825902645185125$	2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 28.12.0-4.c.1.2, 140.24.0.?, $\ldots$	$[(96644552642146/8067, 16249959913733715613/8067)]$
316050.be4	316050be1	316050.be	316050be	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 2^{32} \cdot 3^{5} \cdot 5^{18} \cdot 7^{8} \cdot 43 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$36120$	$48$	$0$	$82.76439747$	$1$	$1$	$3609722880$	$5.354881$	$4398458841654808806211585536001/536871960576000000000000$	$1.03905$	$7.25627$	$[1, 1, 0, -418146400025, 104062468697185125]$	$y^2+xy=x^3+x^2-418146400025x+104062468697185125$	2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 56.12.0-4.c.1.5, 140.12.0.?, $\ldots$	$[(-260243753321572357850904219875538332655/25290023208608272, 7359638244219373757752010340828991749387287502584182626705/25290023208608272)]$
316050.bf1	316050bf1	316050.bf	316050bf	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{21} \cdot 3^{2} \cdot 5^{9} \cdot 7^{6} \cdot 43 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1720$	$2$	$0$	$1$	$1$	$0$	$12700800$	$2.569115$	$-7964053973/811597824$	$1.00109$	$4.27486$	$[1, 1, 0, -254825, -659002875]$	$y^2+xy=x^3+x^2-254825x-659002875$	1720.2.0.?	$[]$
316050.bg1	316050bg1	316050.bg	316050bg	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{3} \cdot 3^{8} \cdot 5^{9} \cdot 7^{8} \cdot 43 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1720$	$2$	$0$	$5.228746068$	$1$	$2$	$7547904$	$2.424438$	$-429119619649/282123000$	$0.88395$	$4.16688$	$[1, 1, 0, -704400, -332865000]$	$y^2+xy=x^3+x^2-704400x-332865000$	1720.2.0.?	$[(1149, 18825)]$
316050.bh1	316050bh2	316050.bh	316050bh	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 2^{4} \cdot 3 \cdot 5^{12} \cdot 7^{7} \cdot 43^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$18060$	$12$	$0$	$5.219977974$	$1$	$0$	$10616832$	$2.488441$	$524406074814721/9707250000$	$0.90778$	$4.36093$	$[1, 1, 0, -2058025, -1118916875]$	$y^2+xy=x^3+x^2-2058025x-1118916875$	2.3.0.a.1, 42.6.0.a.1, 860.6.0.?, 18060.12.0.?	$[(7035/2, 205465/2)]$

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