Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 11 and torsion ℤ/2ℤ × ℤ/2ℤ

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showing 43 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