Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 7 and torsion ℤ/2ℤ × ℤ/2ℤ

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showing 85 of 3920 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#319 [1, -1, 0, -1478818379630…, 21612333371564…] ≥ 15 ℤ/2ℤ × ℤ/2ℤ 183.53 395.39 31.75 406.53
#1835 [0, 1, 0, -1268052845566…, 64379331369939…] ≥ 14 ℤ/2ℤ × ℤ/2ℤ 158.15 329.39 26.14 336.99
#1836 [1, 1, 1, -6276806730722…, 18921085951426…] ≥ 13 ℤ/2ℤ × ℤ/2ℤ 145.51 385.82 30.96 397.05
#1993 [1, -1, 1, -2020050562772…, 77043916201717…] ≥ 13 ℤ/2ℤ × ℤ/2ℤ 145.94 392.44 31.41 400.56
#1379 [0, -1, 0, -9760152474023…, -3518287165082…] ≥ 13 ℤ/2ℤ × ℤ/2ℤ 154.65 370.10 29.53 377.65
#3178 [1, 1, 1, -6788760052300…, -4283665841626…] ≥ 13 ℤ/2ℤ × ℤ/2ℤ 154.68 396.24 31.72 404.19
#2010 [0, 1, 0, -1622134663627…, -1709160933239…] ≥ 13 ℤ/2ℤ × ℤ/2ℤ 157.83 398.73 31.93 406.81
#3844 [0, 1, 0, -1674433172091…, -1763177092982…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 106.49 281.97 22.19 289.47
#1861 [1, 0, 0, -1209873315556…, 33105831183996…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 107.05 294.32 23.23 302.31
#3582 [1, -1, 1, -4370576197248…, -5961121583132…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 109.87 277.65 21.83 285.44
#1114 [1, 1, 1, -3303894515586…, 73094841061617…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 115.96 305.87 24.75 326.05
#3172 [0, 0, 0, -2241400793004…, 40774547849544…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 128.90 311.74 24.87 324.88
#1802 [1, -1, 1, -1444491707528…, 55992158377962…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 134.38 335.62 26.69 344.29
#1202 [0, 1, 0, -4841195896937…, 12925635676335…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 79.14 162.67 12.42 175.22
#1245 [1, 1, 1, -4038651958999…, 30461833572389…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 85.09 184.94 14.19 195.40
#1803 [0, 1, 0, -3383044565362…, 75737263950801…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 88.23 220.96 17.80 243.23
#3143 [0, 1, 0, -1621126547570…, 23851513456705…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 89.73 245.06 19.18 254.83
#3155 [1, 0, 1, -4404744507569…, 11235970010682…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 90.51 244.52 19.27 257.83
#2016 [0, -1, 0, -2979702126501…, 19797146077964…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 91.34 231.58 18.44 249.75
#3154 [1, 1, 0, -3857107159141…, 92080247327630…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 91.61 216.41 16.93 229.80
#3150 [0, -1, 0, -5016358898689…, 56737927985190…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 91.80 222.95 17.27 230.59
#3147 [1, 0, 0, -3833747175804…, 28793896755295…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 92.70 224.25 17.54 236.69
#1086 [1, -1, 0, -2125227664065…, 93862752410868…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 94.94 198.87 15.29 207.29
#2015 [1, 1, 1, -1634335456255…, -4263958956315…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 96.05 240.49 18.73 247.95
#3131 [0, 1, 0, -1099860544040…, 14037140715375…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 96.39 238.26 18.85 253.67
#3144 [0, -1, 0, -1195364158708…, 15823209428289…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 96.85 228.10 17.85 240.10
#3141 [0, 0, 0, -6471600729124…, -9171220409133…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 97.38 237.72 18.50 245.17
#3129 [0, 0, 0, -8802744070494…, -4694350735969…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 97.82 245.55 19.15 253.00
#3140 [1, 0, 0, -2190459048555…, 95841086501916…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 98.25 268.11 21.05 276.46
#3138 [1, 1, 1, -1298081697342…, 27359690701187…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 99.29 260.51 20.40 267.98
#3135 [1, 0, 0, -1338030238082…, 18838529738538…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 99.41 254.92 20.92 281.89
#3132 [1, 0, 1, -3548818984538…, -1458326273185…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 102.16 256.25 20.05 264.09
#3125 [1, 1, 1, -2367132372723…, 32479411170253…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 105.35 261.56 20.51 269.79
#3145 [0, 0, 0, -3156315035076…, 20722280537558…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 105.91 226.11 17.60 236.11
#3121 [1, 0, 0, -1894034708782…, -2496501670359…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 107.05 274.51 21.59 282.93
#3115 [1, -1, 1, -3997414369222…, -9348559961038…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 111.37 302.78 23.99 312.80
#3118 [1, 0, 0, -1459970401640…, 32098730158685…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 112.19 295.17 23.29 302.87
#3117 [1, 0, 0, -2190639029781…, 90833572392673…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 113.33 303.49 23.98 311.00
#3114 [1, 1, 1, -2475534555539…, 44636253372774…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 116.31 315.55 25.05 325.18
#3111 [1, -1, 1, -9978029353641…, 12131151121741…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 126.40 332.93 26.83 350.09
#3112 [1, 0, 0, -1028123648126…, 12167508463723…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 126.99 326.39 25.96 336.36
#3110 [1, -1, 1, -3410282886319…, 11958344258090…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 128.54 332.48 26.40 339.96
#3108 [1, -1, 1, -1060782949216…, 42051980299575…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 139.11 365.44 29.67 384.81
#1203 [1, 1, 1, -4872160096445…, -3100495634855…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 60.88 132.43 9.75 140.70
#1085 [0, 0, 0, -4395789203498…, 35049596839234…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 66.58 156.83 11.88 168.03
#2022 [0, 1, 0, -4181221879740…, 29795568333639…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 69.33 172.52 13.11 181.69
#1878 [0, 1, 0, -1939363608964…, 29453641253718…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 70.62 163.40 12.35 172.48
#2024 [1, 1, 1, -2215240130539…, 44669500441213…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 70.63 186.01 14.19 193.60
#3105 [1, 0, 1, -2757664547583…, 17299151267351…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 72.69 155.87 11.78 166.63
#3096 [0, 1, 0, -1773535921942…, 89241911319121…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 75.53 168.35 12.82 179.12
#3092 [1, 0, 1, -1130324796162…, 14522016996201…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 76.16 172.97 13.24 184.68
#3482 [0, -1, 0, -1961335186252…, 32417180218045…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 76.28 176.06 13.44 186.33
#3093 [0, 1, 0, -2095665816571…, 11249629875293…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 76.71 169.53 12.89 179.62
#3091 [1, 0, 0, -9035181921539…, 10331090455438…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 78.52 172.79 13.21 184.00
#3087 [0, 1, 0, -1314600280180…, 85752692602743…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 80.97 205.06 15.78 212.76
#3086 [1, 0, 0, -2349435075187…, 43721279197334…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 87.35 229.39 17.99 242.13
#3085 [0, 1, 0, -6692387808676…, -3498869682258…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 89.49 216.77 16.76 224.55
#3084 [1, 0, 0, -2153547439709…, 12163674285724…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 92.82 231.74 18.39 248.78
#3083 [1, 0, 0, -2128862406520…, 11946544343617…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 93.58 234.79 18.49 248.74
#1084 [0, 0, 0, -8163466948680…, 89775962868710…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 110.96 259.94 21.83 294.22
#1204 [1, 0, 1, -7540160955289…, 24800520566886…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 53.16 124.19 9.14 135.11
#2031 [1, -1, 1, -1262226950286…, 17129189830354…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 60.86 173.36 13.27 185.01
#2095 [1, 1, 1, -1172358580750…, 15161392242705…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 64.12 160.22 12.14 170.97
#3075 [0, 0, 0, -7880340737540…, 84875756206943…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 64.96 157.26 11.97 169.78
#2030 [1, 0, 1, -1420833844172…, 47101528298497…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 66.84 164.04 12.36 171.55
#3066 [1, -1, 1, -1871828723540…, 78927804566680…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 66.87 184.62 14.10 193.10
#2033 [1, 0, 0, -2169804093800…, -3888327340812…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 73.16 227.53 17.91 241.89
#1205 [1, -1, 1, -5845120678571, 50144754265458…] ≥ 8 ℤ/2ℤ × ℤ/2ℤ 41.08 90.45 6.28 99.80
#2106 [1, 0, 0, -6507086270485…, 19660598017457…] ≥ 8 ℤ/2ℤ × ℤ/2ℤ 46.90 138.09 10.28 148.48
#2104 [0, -1, 0, -1153759435792…, -9965707448092…] ≥ 8 ℤ/2ℤ × ℤ/2ℤ 48.76 122.02 8.86 129.47
#2105 [1, 0, 0, -6873429016852…, -5703731609378…] ≥ 8 ℤ/2ℤ × ℤ/2ℤ 49.58 141.12 10.45 148.64
#3038 [0, 1, 0, -2417774562197…, -3361766092743…] ≥ 8 ℤ/2ℤ × ℤ/2ℤ 55.74 178.73 13.60 186.96
#1147 [0, 1, 0, -3068232999252…, 50563387770601…] ≥ 8 ℤ/2ℤ × ℤ/2ℤ 62.29 200.88 15.43 208.39
#2111 [1, 0, 0, -6863149950567…, 18519194349292…] ≥ 8 ℤ/2ℤ × ℤ/2ℤ 62.42 209.00 16.14 217.72
#1206 [0, -1, 0, -78311948640, 73210350316245…] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 34.91 78.01 5.23 86.87
#2939 [0, 0, 0, -3989558735350…, 26162204058245…] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 39.72 103.72 7.37 112.47
#2938 [0, -1, 0, -5033150673897…, 12792554156805…] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 40.05 96.80 6.81 106.26
#2932 [1, -1, 1, -1160203178077…, 14812203727081…] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 40.26 105.26 7.55 115.68
#2928 [1, -1, 1, -3206312390865…, -1263501537932…] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 41.38 103.97 7.36 111.82
#1146 [0, 1, 0, -4427845271950…, 67284373099443…] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 46.09 146.74 10.92 154.23
#2035 [0, 1, 0, -2947665298556…, 22183025450436…] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 48.52 152.33 11.39 159.92
#2902 [1, 1, 1, -9261246549587…, -3423081427505…] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 54.66 178.08 13.72 190.99
#2901 [0, 0, 0, -6360182823142…, 0] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 58.28 168.59 12.74 176.04
#2898 [1, 1, 1, -2734285967244…, -1260865140524…] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 58.44 186.03 14.21 194.23
#1804 [0, 1, 0, -7453061748805…, 24518575301774…] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 63.22 178.96 13.73 190.33