Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 11 and torsion ℤ/4ℤ

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showing 34 of 3920 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