Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 10 and torsion ℤ/4ℤ

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showing 60 of 6537 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#1919 [1, 1, 1, -6256786656374…, 19049126547136…] ≥ 13 ℤ/4ℤ 145.51 374.59 30.61 397.04
#1918 [1, -1, 1, -1844990787237…, 96445313848956…] ≥ 13 ℤ/4ℤ 145.94 384.61 31.06 400.29
#803 [0, -1, 0, -8932110013773…, 32231848935325…] ≥ 13 ℤ/4ℤ 154.65 372.70 29.88 384.29
#3179 [1, 1, 1, -2842233550864…, 17952730709933…] ≥ 13 ℤ/4ℤ 154.68 391.18 31.37 401.58
#325 [0, 1, 0, -1014448194215…, 38021628663351…] ≥ 13 ℤ/4ℤ 157.83 402.12 32.28 412.31
#3704 [0, 1, 0, -1017623839762…, 39275012198212…] ≥ 12 ℤ/4ℤ 106.49 276.10 21.84 287.98
#1921 [1, 0, 0, -1086750289534…, 43597316571532…] ≥ 12 ℤ/4ℤ 107.05 286.66 22.88 301.99
#3562 [1, -1, 1, -2037619837783…, 34753468662079…] ≥ 12 ℤ/4ℤ 109.87 272.38 21.49 283.15
#3705 [1, 0, 0, -7447528317264…, 24734767791049…] ≥ 12 ℤ/4ℤ 113.28 299.00 23.93 314.67
#1125 [1, 1, 1, -2044361857832…, 11659777722440…] ≥ 12 ℤ/4ℤ 115.96 307.64 24.40 317.77
#3706 [1, -1, 1, -1743521616453…, 88610196487924…] ≥ 12 ℤ/4ℤ 131.34 326.80 26.37 344.85
#3598 [1, -1, 0, -1016169161922…, 12464279528163…] ≥ 11 ℤ/4ℤ 84.14 210.93 16.55 225.80
#3518 [1, 1, 1, -7671715934167…, 81782853545083…] ≥ 11 ℤ/4ℤ 86.19 208.42 16.42 224.96
#3702 [1, 0, 0, -3809385349733…, 88199784154175…] ≥ 11 ℤ/4ℤ 90.08 219.32 17.05 229.77
#1098 [0, -1, 0, -2898873654461…, 20921846641378…] ≥ 11 ℤ/4ℤ 91.34 240.67 18.79 249.86
#3703 [1, -1, 0, -7611294031803…, 25157222715082…] ≥ 11 ℤ/4ℤ 93.46 234.73 18.36 245.66
#1922 [1, 1, 1, -1092009163246…, 43765149405799…] ≥ 11 ℤ/4ℤ 96.05 234.35 18.38 246.74
#3156 [0, 1, 0, -9815797255264…, 17173523831080…] ≥ 11 ℤ/4ℤ 96.39 245.97 19.20 254.07
#3162 [0, 0, 0, -7101645059837…, 72620199964540…] ≥ 11 ℤ/4ℤ 97.38 239.80 18.85 252.36
#3151 [0, 0, 0, -9443503407019…, 35198221052740…] ≥ 11 ℤ/4ℤ 97.82 247.71 19.50 260.12
#3159 [1, 0, 0, -2046128832176…, 11264588019995…] ≥ 11 ℤ/4ℤ 98.25 259.99 20.71 276.26
#3158 [1, 1, 1, -9616802040765…, 11458141648950…] ≥ 11 ℤ/4ℤ 99.29 254.00 20.05 267.08
#3153 [1, 0, 0, -8359895892458…, 29455847563502…] ≥ 11 ℤ/4ℤ 99.41 260.09 20.58 273.57
#3149 [1, 0, 1, -2560843813858…, 48850271826555…] ≥ 11 ℤ/4ℤ 102.16 259.37 20.40 270.02
#3148 [1, 1, 1, -2186722332011…, 39354506601874…] ≥ 11 ℤ/4ℤ 105.35 253.59 20.16 269.55
#3142 [1, 0, 0, -6154113222947…, 55387192211873…] ≥ 11 ℤ/4ℤ 107.05 269.91 21.24 279.56
#3133 [1, -1, 1, -6733405851080…, 48003254557985…] ≥ 11 ℤ/4ℤ 111.37 299.29 23.65 307.46
#3139 [1, 0, 0, -1234140270416…, 52744760628030…] ≥ 11 ℤ/4ℤ 112.19 288.00 22.95 302.37
#3136 [1, 0, 0, -1680730071967…, 26485415853243…] ≥ 11 ℤ/4ℤ 113.33 296.84 23.64 310.20
#3128 [1, 1, 1, -2435109968648…, 46251325990521…] ≥ 11 ℤ/4ℤ 116.31 305.97 24.70 325.13
#3124 [1, -1, 1, -5955267645195…, 20740471281776…] ≥ 11 ℤ/4ℤ 126.40 333.19 26.49 341.95
#3126 [1, 0, 0, -1016348547453…, 12471286206505…] ≥ 11 ℤ/4ℤ 126.99 316.45 25.61 336.33
#3122 [1, -1, 1, -2531176936083…, 48928612825281…] ≥ 11 ℤ/4ℤ 128.54 325.96 26.05 339.06
#3120 [1, -1, 1, -6530796764529…, 67765566660616…] ≥ 11 ℤ/4ℤ 139.11 366.81 29.32 376.55
#632 [0, 1, 0, 53659646002842…, 14610806763317…] ≥ 10 ℤ/4ℤ 69.33 177.32 13.46 184.67
#1933 [1, 1, 1, -1787947782144…, 91941993506861…] ≥ 10 ℤ/4ℤ 70.63 179.12 13.85 192.96
#4251 [0, 1, 0, -3754461522992…, 80044210814644…] ≥ 10 ℤ/4ℤ 73.47 189.70 14.49 197.28
#3695 [0, 0, 0, -1018772800122…, 38923083106512…] ≥ 10 ℤ/4ℤ 74.72 180.40 13.83 191.27
#3696 [1, 0, 0, -1018145777293…, 39205652896580…] ≥ 10 ℤ/4ℤ 75.70 207.37 16.10 218.90
#3697 [0, 0, 0, -2930883034151…, 19310407237232…] ≥ 10 ℤ/4ℤ 76.18 192.51 15.06 208.26
#3698 [1, 1, 0, -9707860480137…, 36511148543945…] ≥ 10 ℤ/4ℤ 76.26 193.38 14.94 204.94
#3699 [1, -1, 1, -2383088857743…, 13656594080685…] ≥ 10 ℤ/4ℤ 77.05 197.52 15.23 207.64
#3700 [1, 1, 1, -4959610099322…, 13440049851581…] ≥ 10 ℤ/4ℤ 77.61 201.77 15.79 216.74
#3701 [0, 1, 0, -1636853509520…, 85417472014584…] ≥ 10 ℤ/4ℤ 78.06 210.77 16.31 220.44
#5922 [0, -1, 0, -1040809498294…, 12924231410971…] ≥ 10 ℤ/4ℤ 78.28 190.96 15.23 212.06
#3681 [1, -1, 1, -3266529867562…, 71297354488784…] ≥ 10 ℤ/4ℤ 78.51 203.87 15.81 215.49
#3682 [1, -1, 1, -1186276992820…, 15312238856253…] ≥ 10 ℤ/4ℤ 79.04 202.04 15.61 212.45
#3683 [0, 0, 0, -1219617061196…, 51842148918110…] ≥ 10 ℤ/4ℤ 79.29 198.66 15.85 219.44
#3684 [1, 0, 0, -2722795982203…, 54676988991001…] ≥ 10 ℤ/4ℤ 79.91 213.21 16.77 228.76
#3685 [1, -1, 1, -1243763883354…, 53268817207731…] ≥ 10 ℤ/4ℤ 80.55 206.64 16.10 219.50
#3103 [0, 1, 0, -1109077055513…, 14209200477703…] ≥ 10 ℤ/4ℤ 80.97 197.90 15.44 212.25
#3686 [0, 0, 0, -1518426308912…, 72017587023559…] ≥ 10 ℤ/4ℤ 81.13 198.30 15.88 220.10
#3687 [0, 0, 0, -3123539885838…, 21246218309025…] ≥ 10 ℤ/4ℤ 81.22 206.13 16.21 222.26
#3101 [1, 0, 0, -8736253981243…, 12416084781715…] ≥ 10 ℤ/4ℤ 87.35 227.48 17.64 235.00
#3100 [0, 1, 0, -5049106139198…, 13566369958791…] ≥ 10 ℤ/4ℤ 89.49 219.80 17.11 230.61
#3098 [0, 0, 0, -2901413377029…, 60112620677766…] ≥ 10 ℤ/4ℤ 92.17 228.71 17.99 242.77
#3097 [1, 0, 0, -1281493142199…, 20908478821228…] ≥ 10 ℤ/4ℤ 92.82 231.95 18.05 240.65
#3088 [0, 1, 0, -1893054759558…, 74333357526273…] ≥ 10 ℤ/4ℤ 93.56 240.14 18.72 248.39
#3094 [1, 0, 0, -1034642810304…, 27194354320720…] ≥ 10 ℤ/4ℤ 93.58 233.47 18.15 241.18
#3090 [1, -1, 1, -2856201689245…, 18556040321240…] ≥ 10 ℤ/4ℤ 96.41 236.18 18.58 249.63