Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 3 and torsion ℤ/2ℤ × ℤ/6ℤ

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showing 65 of 3920 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#1833 [1, 0, 0, -3768095670099…, -3699289839792…] ≥ 6 ℤ/2ℤ × ℤ/6ℤ 59.95 263.54 20.66 271.18
#1106 [1, 0, 1, -5012222351518…, 13646441757905…] ≥ 6 ℤ/2ℤ × ℤ/6ℤ 63.20 272.03 21.59 285.85
#1831 [1, -1, 1, -1064003532304…, 42212895001975…] ≥ 6 ℤ/2ℤ × ℤ/6ℤ 68.27 301.76 24.07 315.74
#1832 [1, -1, 1, -1159559277404…, 48054245353871…] ≥ 6 ℤ/2ℤ × ℤ/6ℤ 82.57 355.54 28.64 371.26
#1088 [1, 0, 0, -9904296902409…, 34384426638818…] ≥ 5 ℤ/2ℤ × ℤ/6ℤ 39.47 168.19 12.75 177.37
#1834 [1, 0, 0, -4141041525086…, 30740710413907…] ≥ 5 ℤ/2ℤ × ℤ/6ℤ 44.41 185.74 14.23 195.48
#2861 [1, 0, 0, -2401696688681…, 29668756031923…] ≥ 5 ℤ/2ℤ × ℤ/6ℤ 46.54 206.55 15.92 214.57
#2854 [1, 0, 1, -3486610902808…, -6949881857504…] ≥ 5 ℤ/2ℤ × ℤ/6ℤ 47.40 206.76 15.96 215.69
#2851 [1, 0, 0, -5069364198142…, 42366241216930…] ≥ 5 ℤ/2ℤ × ℤ/6ℤ 48.28 199.79 15.41 209.90
#2846 [1, -1, 0, -7257257498888…, 23791453361114…] ≥ 5 ℤ/2ℤ × ℤ/6ℤ 48.32 202.59 15.87 217.88
#2858 [1, 0, 0, -2353799432200…, 39989567111692…] ≥ 5 ℤ/2ℤ × ℤ/6ℤ 48.48 191.48 14.69 200.69
#2847 [1, 0, 0, -7553282699568…, -5840213618603…] ≥ 5 ℤ/2ℤ × ℤ/6ℤ 49.68 202.88 15.61 211.10
#2835 [1, 0, 0, -1359588366014…, 18036730221659…] ≥ 5 ℤ/2ℤ × ℤ/6ℤ 49.96 217.15 16.84 226.68
#2828 [1, 0, 0, -1003916170234…, -4223829117956…] ≥ 5 ℤ/2ℤ × ℤ/6ℤ 49.99 218.18 16.87 225.77
#2826 [1, -1, 1, -1288486888765…, 55137047138133…] ≥ 5 ℤ/2ℤ × ℤ/6ℤ 50.84 208.95 16.20 219.61
#2833 [1, 0, 0, -7136038648902…, 17356593902839…] ≥ 5 ℤ/2ℤ × ℤ/6ℤ 52.14 209.56 16.17 217.83
#1619 [1, 0, 1, -6508768317643…, 62532211560160…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 31.59 130.97 9.70 141.57
#1498 [1, 0, 1, -9995916260886…, 34930300284253…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 32.29 126.76 9.30 135.95
#3512 [1, 0, 1, -1054728017547…, 38197427085233…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 32.33 126.83 9.31 136.11
#3516 [1, 0, 1, -4955834480486…, 42457594451054…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 33.55 139.05 10.59 154.57
#3520 [1, 0, 1, -2116219986144…, 98015500481285…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 34.06 157.23 11.82 165.83
#3532 [1, 0, 1, -3506455191014…, 17688130560049…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 34.51 159.22 11.97 167.35
#3519 [1, 0, 0, -1326138486875…, 18587947281335…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 34.53 143.66 11.70 171.34
#3533 [1, 0, 0, -2071367474441…, -3571397235223…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 34.86 161.76 12.27 172.68
#1753 [1, 0, 0, -1191714493058…, 49285300394006…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 34.98 139.37 10.41 150.29
#3534 [1, 0, 0, -3452400180181…, -6375955799133…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 35.42 165.66 12.52 174.21
#1617 [1, 0, 0, -6177101443208…, 90054244284916…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 35.57 161.57 12.15 169.05
#3528 [1, 0, 0, -2265557135022…, 40411686856382…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 35.64 148.72 11.17 159.13
#1754 [1, 0, 0, -1711389983468…, 86172563947662…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 36.37 146.40 11.38 165.20
#1623 [1, 0, 0, -1852145633282…, 26477265335570…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 36.59 149.71 11.20 158.53
#3517 [1, 0, 0, -1003817392224…, 20953708270094…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 36.76 149.20 11.12 156.69
#3530 [1, 0, 0, -7241499484774…, 23490904698596…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 36.89 151.20 11.41 162.62
#3531 [1, 0, 0, -9149009043296…, 21539034654927…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 37.13 155.34 11.65 163.32
#1620 [1, 0, 0, -1218065597149…, 13515375375245…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 40.84 176.30 13.41 184.90
#1622 [1, 0, 0, -2180066579500…, -3620833523758…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 41.07 177.27 13.51 186.65
#1616 [1, 0, 0, -2768904491070…, 56080267558921…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 42.10 158.93 13.02 187.36
#1618 [1, 0, 0, -2787944203818…, 14141811002116…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 42.79 172.05 13.05 180.48
#1621 [1, -1, 0, -3288225561486…, 72555342130711…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 43.23 186.75 14.54 201.69
#1624 [1, 0, 0, -3019193284979…, 19766124483357…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 43.55 183.90 14.11 194.53
#1615 [1, 0, 0, -1707486852180…, -1721621575872…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 43.81 191.76 14.68 199.73
#1378 [1, 0, 0, -1148701945424…, -1342517594919…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 61.14 313.80 24.88 322.88
#1550 [1, 0, 0, -8369487776175, 93195755181720…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 21.71 79.82 5.96 100.88
#3394 [1, -1, 1, -1315955739625…, 18364818030478…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 22.20 101.72 7.42 116.05
#3356 [1, 0, 0, -4214703227356, 31518747344237…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 22.26 89.11 6.18 98.82
#3383 [1, 0, 1, -1200699466681…, 50640687063619…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 22.99 92.01 7.59 122.69
#1547 [1, 0, 1, -1771298140086…, 28395557568840…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 23.13 91.80 6.46 103.13
#3380 [1, -1, 1, -2829713594363…, -1899538256260…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 23.14 103.98 7.35 111.44
#831 [1, 0, 0, -4376721653469…, 69984352429285…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 23.23 97.89 6.86 105.84
#2718 [1, 0, 1, -8405477263331…, 29641782251963…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 23.48 93.72 6.74 107.80
#3395 [1, -1, 0, -4790128743364…, 12716428071435…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 23.58 107.50 7.81 119.93
#3365 [1, 0, 1, -2139001470056…, -1580265454798…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 23.86 103.13 7.28 110.60
#3382 [1, 0, 1, -1501515067102…, 22394231806462…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 23.93 98.58 7.34 116.45
#3366 [1, 0, 1, -5972174636674…, 56036415870448…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 24.05 100.92 7.28 113.68
#2592 [1, 0, 0, -3288919900584…, -5906812809786…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 24.43 97.52 6.82 104.99
#3367 [1, 0, 0, -1252656615138…, 17064495157914…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 25.15 97.16 7.27 115.91
#3381 [1, 0, 0, -4548057385441…, 36776881416362…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 26.31 101.89 7.29 112.87
#3396 [1, 0, 1, -2240076138475…, 12904532629807…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 26.87 98.92 7.84 124.56
#833 [1, 0, 0, -9957689218404…, 35659327462323…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 30.47 126.45 9.28 135.94
#832 [1, 0, 0, -7466445177864…, 23478746312185…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 30.63 125.38 9.20 135.08
#1553 [1, -1, 0, -4045324571165…, 27081412147691…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 32.05 158.94 11.97 167.78
#1548 [1, 0, 0, -1037184427428…, 12856725475109…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 32.90 137.59 10.67 156.79
#1549 [1, -1, 1, -7158872532911…, 23300407254105…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 32.96 148.37 11.30 162.58
#1551 [1, 0, 0, -4127027143096…, 21241797128523…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 33.33 153.43 11.48 160.93
#1552 [1, 0, 1, -5397712099365…, 37519795511900…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 33.90 140.40 10.39 147.92
#1755 [1, 0, 0, -4275374353977…, 33831736296015…] ≥ 3 ℤ/2ℤ × ℤ/6ℤ 35.39 142.20 10.69 154.13