Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 6 and torsion ℤ/2ℤ × ℤ/4ℤ

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showing 41 of 3920 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#1827 [1, 0, 0, -1604573174364…, -3694491204583…] ≥ 9 ℤ/2ℤ × ℤ/4ℤ 73.16 226.37 17.56 234.08
#1107 [0, 1, 0, -6141005737705…, 58574331773488…] ≥ 9 ℤ/2ℤ × ℤ/4ℤ 79.14 242.33 19.65 265.74
#1828 [1, 0, 0, -1443705842368…, 51852453412695…] ≥ 9 ℤ/2ℤ × ℤ/4ℤ 87.09 294.46 23.25 302.84
#3063 [0, 1, 0, -8665851076482…, 93941596539042…] ≥ 8 ℤ/2ℤ × ℤ/4ℤ 55.74 173.95 13.26 183.88
#1108 [0, 1, 0, -2368606183248…, 14012948260726…] ≥ 8 ℤ/2ℤ × ℤ/4ℤ 62.29 194.20 15.08 207.62
#1109 [1, 0, 0, -6565665805280…, 20476368651145…] ≥ 8 ℤ/2ℤ × ℤ/4ℤ 62.42 200.43 15.79 217.58
#3057 [1, 0, 0, -2324040155254…, 39035737383640…] ≥ 8 ℤ/2ℤ × ℤ/4ℤ 65.50 219.12 16.99 228.28
#3051 [1, 1, 1, -1839926530538…, 29873101006545…] ≥ 8 ℤ/2ℤ × ℤ/4ℤ 66.36 230.53 18.00 241.40
#3062 [0, -1, 0, -1556209069050…, 23529944481555…] ≥ 8 ℤ/2ℤ × ℤ/4ℤ 66.92 201.03 15.60 213.27
#3041 [1, 0, 0, -7408020279205…, 24516259632532…] ≥ 8 ℤ/2ℤ × ℤ/4ℤ 68.87 218.12 17.09 231.76
#3048 [0, -1, 0, -8668931524503…, 61220734062068…] ≥ 8 ℤ/2ℤ × ℤ/4ℤ 69.61 210.92 16.27 218.42
#3039 [1, 0, 0, -2606368822937…, 50137806027135…] ≥ 8 ℤ/2ℤ × ℤ/4ℤ 69.66 217.99 16.95 228.63
#3027 [1, 0, 0, -9301637973794…, 24817682032962…] ≥ 8 ℤ/2ℤ × ℤ/4ℤ 70.77 224.26 17.40 232.44
#1089 [0, 1, 0, -5334348061487…, 14972113589959…] ≥ 7 ℤ/2ℤ × ℤ/4ℤ 46.09 148.49 11.27 161.70
#1830 [0, 1, 0, -2386801266816…, 44845424005663…] ≥ 7 ℤ/2ℤ × ℤ/4ℤ 48.52 145.41 11.04 159.29
#2934 [1, 1, 1, -8007418165950…, -8707164374817…] ≥ 7 ℤ/2ℤ × ℤ/4ℤ 54.66 176.18 13.37 183.64
#2930 [1, 1, 1, -9969335425497…, 36738166741349…] ≥ 7 ℤ/2ℤ × ℤ/4ℤ 58.44 181.23 13.86 191.21
#2926 [0, 1, 0, -4123297792196…, 83669201239698…] ≥ 7 ℤ/2ℤ × ℤ/4ℤ 61.15 193.80 14.87 202.37
#3484 [0, -1, 0, -9543695128779…, 11343572956219…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 38.14 128.13 9.63 142.72
#3483 [0, 1, 0, -2474617489821…, 14983292255697…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 38.67 120.02 9.17 138.67
#3801 [0, 1, 0, -7460731221246…, 88653323868322…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 38.85 127.48 9.32 135.07
#2152 [0, -1, 0, -7602351178123…, 80680442961959…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 39.33 122.84 9.44 142.04
#3805 [0, 1, 0, -2701980700587…, 14820640627240…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 40.64 130.09 9.57 138.94
#3806 [0, 1, 0, -2013725795072…, 64729589895519…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 40.74 130.17 9.55 138.05
#1826 [0, -1, 0, -3436336410579…, 36692720733182…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 40.78 125.04 9.12 132.75
#3798 [1, 0, 0, -2213303074744…, 17321055963451…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 41.04 123.77 9.01 131.43
#1111 [0, 1, 0, -2013664127615…, -6494465861707…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 41.33 130.17 9.55 138.05
#1112 [1, 0, 0, -6450655325320…, 18285491619516…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 41.41 125.35 9.18 134.64
#3808 [1, 1, 1, -1590515024185…, 76561522426333…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 41.78 125.79 9.30 137.35
#3807 [0, -1, 0, -2101701481499…, 42471200881885…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 42.19 130.59 9.57 138.18
#3802 [0, -1, 0, -6064909050029…, 41691026783463…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 43.03 133.16 9.80 141.36
#2883 [1, 0, 0, -1305007092705…, 16542549296816…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 43.05 134.43 9.94 143.66
#2876 [0, -1, 0, -4664630695650…, 12261165772114…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 45.38 145.30 11.14 161.30
#2873 [0, -1, 0, -1621105850715…, 49796063311608…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 46.61 150.63 11.24 158.13
#2880 [0, -1, 0, -3319999641863…, 23276122948316…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 47.43 138.60 10.52 153.37
#2881 [0, -1, 0, -8438509927949…, 26297336213181…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 47.46 140.30 10.42 149.26
#2874 [1, 0, 0, -1412825737585…, 15284155642547…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 49.72 149.44 11.16 157.71
#2041 [1, 1, 1, -2797287263082…, -2695185857636…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 60.46 255.90 20.02 263.38
#2868 [1, 0, 0, -2159034712209…, 86432884712007…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 63.48 268.27 21.06 276.42
#2866 [1, 0, 0, -8118635598111…, 21442171049276…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 70.51 292.79 23.11 301.11
#2865 [1, 1, 1, -5399919480636…, -1175494375650…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 70.63 291.54 23.01 299.89