Elliptic Curve Rank Leaderboard

Curves with rank lower bound = 13

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showing 87 of 4205 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#158 [0, -1, 1, -1876573260, 32705933898332] ≥ 13 trivial 64.74 65.84 4.25 75.76
#763 [1, -1, 0, -7636625866, 27121884890420…] ≥ 13 trivial 65.49 70.26 4.61 79.99
#3803 [1, 0, 1, -104090690933, 12923707417896…] ≥ 13 trivial 65.65 72.34 5.02 87.72
#3804 [0, 0, 0, -10687932892, 42856717953442…] ≥ 13 trivial 65.80 69.27 4.60 80.91
#89 [0, 0, 0, -6529826212, 19599566294890…] ≥ 13 trivial 65.81 69.28 4.54 79.41
#3877 [0, 0, 0, -39991088332, 32195711257064…] ≥ 13 trivial 65.86 75.03 5.01 84.94
#3878 [0, 0, 1, -69573490077, 70613765523175…] ≥ 13 trivial 66.10 71.59 4.94 86.51
#790 [0, 0, 1, -13219745917, 23623704347694…] ≥ 13 trivial 66.20 73.90 4.85 81.53
#3879 [1, -1, 0, -37686930696, 28155748359043…] ≥ 13 trivial 66.27 69.16 4.77 84.67
#791 [0, 0, 0, -2831015167, 93401186864770] ≥ 13 trivial 66.45 69.92 4.52 77.86
#1218 [0, 0, 1, -38590905927, 29256145755271…] ≥ 13 trivial 66.55 72.04 4.87 84.75
#792 [0, 0, 0, -20005572727, 93274165731097…] ≥ 13 trivial 66.56 73.99 4.89 82.77
#793 [0, 1, 1, -4070928502, 78946908330992] ≥ 13 trivial 66.62 69.56 4.51 78.00
#1219 [1, 1, 0, -413296473437, 10273172023281…] ≥ 13 trivial 66.64 79.70 5.49 91.86
#1220 [0, 1, 0, -74484832620, 78290214494647…] ≥ 13 trivial 66.67 72.53 4.98 86.72
#794 [0, 1, 1, -3915257350, 93169964920370] ≥ 13 trivial 66.68 66.68 4.36 77.88
#795 [1, -1, 0, -27545930239, 17954870441477…] ≥ 13 trivial 66.72 73.08 4.88 83.77
#796 [1, 1, 0, -3995010842, 89438160269040] ≥ 13 trivial 66.82 68.61 4.46 77.94
#588 [0, 0, 1, -1129201567, 23953648602246] ≥ 13 trivial 67.22 67.22 4.30 75.14
#591 [0, 0, 1, -1141015057, 26061092520366] ≥ 13 trivial 67.46 67.46 4.32 75.31
#477 [0, 0, 1, -3096136477, 19662705790596] ≥ 13 trivial 69.63 69.63 4.49 77.17
#106 [0, 0, 0, -77547091492, 64550111722388…] ≥ 13 trivial 69.91 78.46 5.25 86.84
#200 [1, -1, 1, -1213916060668…, 55537316802098…] ≥ 13 trivial 77.81 127.27 9.35 136.69
#201 [1, -1, 1, -2033019015003…, 11118397813741…] ≥ 13 trivial 79.65 125.66 9.33 138.08
#202 [1, 0, 0, -7699301552946…, 82603709601203…] ≥ 13 trivial 81.92 129.93 9.67 142.09
#3547 [1, 0, 0, -1292137673238…, 56490525161322…] ≥ 13 ℤ/2ℤ 82.36 136.61 10.31 150.54
#3548 [1, 0, 0, -1001111084356…, 82620906840913…] ≥ 13 ℤ/2ℤ 82.36 143.60 10.66 151.30
#203 [1, 0, 1, -6897389822833…, 71134655768361…] ≥ 13 trivial 83.94 131.10 9.71 141.79
#2158 [0, 0, 0, -6033575103364…, 19804851792913…] ≥ 13 ℤ/2ℤ 84.36 140.79 10.42 148.25
#3182 [0, 0, 0, -7011702555233…, 71314819249066…] ≥ 13 ℤ/2ℤ 84.36 142.67 10.77 155.61
#3635 [1, 0, 0, -1449906033237…, 17073586021555…] ≥ 13 ℤ/2ℤ 85.04 149.30 11.16 157.79
#3999 [1, 0, 0, -2190782847830…, 12480287472209…] ≥ 13 ℤ/2ℤ 85.04 149.31 11.50 165.94
#61 [0, 0, 1, 0, 75255852424198…] ≥ 13 trivial 87.29 88.39 6.04 95.85
#3636 [1, 1, 1, -8177325826010…, 92946913216828…] ≥ 13 ℤ/2ℤ 87.85 187.35 14.38 197.58
#3996 [1, 1, 1, -1320217134497…, 58386929433855…] ≥ 13 ℤ/2ℤ 87.85 185.48 14.73 205.86
#3637 [1, 1, 1, -7879931492109…, 85092154822937…] ≥ 13 ℤ/2ℤ 89.01 155.52 11.90 169.78
#3997 [1, 1, 1, -6370393981054…, 11868055398390…] ≥ 13 ℤ/2ℤ 89.01 162.67 12.25 170.44
#3638 [1, 0, 1, -2658444723599…, 18830216379081…] ≥ 13 ℤ/2ℤ 89.21 157.77 11.88 166.76
#3998 [1, 0, 1, -2752360851282…, 17575130938991…] ≥ 13 ℤ/2ℤ 89.21 148.91 11.53 166.62
#3009 [0, 0, 0, -6497783767474…, 63751249522807…] ≥ 13 ℤ/2ℤ 89.81 137.63 10.59 155.38
#4000 [0, 0, 0, -6280594502823…, 68211218952129…] ≥ 13 ℤ/2ℤ 89.81 146.51 10.94 155.52
#3639 [1, 1, 1, -4196728735678…, 10461492179671…] ≥ 13 ℤ/2ℤ 90.05 159.85 12.29 174.79
#3995 [1, 1, 1, -3627822624372…, 13399783863351…] ≥ 13 ℤ/2ℤ 90.05 167.33 12.64 175.29
#2161 [0, -1, 0, -2325124713051…, 85689370890651…] ≥ 13 ℤ/2ℤ 92.59 148.49 11.06 155.97
#2162 [0, -1, 0, -7865618818149…, 26734145448848…] ≥ 13 ℤ/2ℤ 92.59 150.66 11.40 162.86
#2163 [0, 1, 0, -1679193857764…, 16079645324828…] ≥ 13 ℤ/2ℤ 95.49 163.59 12.31 171.05
#2165 [0, 1, 0, -1063298052122…, 41828967045778…] ≥ 13 ℤ/2ℤ 95.49 166.09 12.66 177.58
#2164 [1, 1, 1, -7308940636813…, 76053858405569…] ≥ 13 ℤ/2ℤ 99.07 165.77 12.93 183.37
#3173 [1, 1, 1, -7573482228526…, 70252164365689…] ≥ 13 ℤ/2ℤ 99.07 174.56 13.27 183.47
#1937 [1, 0, 1, -3142617982476…, 67755045622702…] ≥ 13 ℤ/3ℤ 101.42 242.92 19.17 256.82
#1920 [1, -1, 1, -4435972163276…, 16474660966237…] ≥ 13 ℤ/2ℤ 102.12 191.22 14.62 198.73
#2009 [1, -1, 1, -8003670699920…, 86885027474371…] ≥ 13 ℤ/2ℤ 102.12 184.91 14.27 197.45
#1923 [0, 0, 0, -1258789696984…, -6539883575070…] ≥ 13 ℤ/2ℤ 102.76 191.20 14.63 198.81
#2011 [0, 0, 0, -1083034930847…, 42926501459585…] ≥ 13 ℤ/2ℤ 102.76 193.95 14.97 205.27
#1938 [1, 0, 1, -2557499874808…, 49997987268990…] ≥ 13 ℤ/3ℤ 103.14 230.19 18.03 242.40
#1924 [0, 0, 0, -3003148213658…, 39769767947993…] ≥ 13 ℤ/2ℤ 103.38 179.22 13.61 186.68
#2008 [0, 0, 0, -1940028278154…, 10307498134844…] ≥ 13 ℤ/2ℤ 103.38 181.72 13.96 193.20
#1925 [1, 0, 0, 26052634437608…, 14777197792620…] ≥ 13 ℤ/2ℤ 108.76 200.27 15.37 207.72
#1926 [1, 0, 0, -1812692499920…, 37598312198452…] ≥ 13 ℤ/2ℤ 112.60 191.95 14.71 200.38
#2012 [1, 0, 0, -1943384300833…, 32972855024330…] ≥ 13 ℤ/2ℤ 112.60 183.76 14.36 200.12
#1927 [1, 0, 0, -1035393398775…, -3269495960648…] ≥ 13 ℤ/2ℤ 113.93 210.45 16.25 218.95
#1928 [1, 0, 0, -1908533148950…, -1011676486474…] ≥ 13 ℤ/2ℤ 114.84 208.25 16.22 220.79
#1929 [1, 0, 0, -3155458761903…, 30953329716167…] ≥ 13 ℤ/2ℤ 115.09 206.35 15.87 213.81
#1930 [1, -1, 1, -1382141445542…, -5798797357514…] ≥ 13 ℤ/2ℤ 115.18 224.21 17.43 233.63
#1931 [0, 1, 0, -8522687623987…, 78244289964245…] ≥ 13 ℤ/2ℤ 116.90 198.83 15.26 206.45
#1932 [1, -1, 1, -1799737996011…, -2719900369295…] ≥ 13 ℤ/2ℤ 118.48 204.30 15.77 213.70
#3181 [1, 0, 0, -7326277178801…, 24059879080163…] ≥ 13 ℤ/3ℤ 121.40 260.66 20.58 273.17
#51 [0, 0, 0, 90389647280869…, 0] ≥ 13 ℤ/2ℤ 123.00 183.46 13.98 190.91
#3177 [1, 0, 0, -3582219213057…, 26097195687506…] ≥ 13 ℤ/3ℤ 126.09 274.87 21.98 291.75
#3175 [1, 0, 0, -2451596981881…, 15101910099026…] ≥ 13 ℤ/3ℤ 127.37 266.24 20.97 276.84
#52 [0, 0, 0, -2827529113871…, 0] ≥ 13 ℤ/2ℤ 127.69 193.79 14.84 201.24
#45 [1, 0, 0, -5607159337021…, 52994280301716…] ≥ 13 ℤ/3ℤ 127.97 269.24 21.20 279.35
#3174 [1, 0, 0, -7032750154590…, 23482511052116…] ≥ 13 ℤ/3ℤ 129.34 276.75 21.83 286.94
#1836 [1, 1, 1, -6276806730722…, 18921085951426…] ≥ 13 ℤ/2ℤ × ℤ/2ℤ 145.51 385.82 30.96 397.05
#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
#1993 [1, -1, 1, -2020050562772…, 77043916201717…] ≥ 13 ℤ/2ℤ × ℤ/2ℤ 145.94 392.44 31.41 400.56
#803 [0, -1, 0, -8932110013773…, 32231848935325…] ≥ 13 ℤ/4ℤ 154.65 372.70 29.88 384.29
#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
#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
#2010 [0, 1, 0, -1622134663627…, -1709160933239…] ≥ 13 ℤ/2ℤ × ℤ/2ℤ 157.83 398.73 31.93 406.81
#205 [0, 1, 0, -1803128213046…, 93791269484285…] ≥ 13 trivial 167.56 194.99 15.08 206.81
#212 [0, 1, 0, -2215561807403…, 35386140191724…] ≥ 13 trivial 172.79 205.37 15.84 214.33
#208 [1, 0, 0, -3046953821561…, 64760983700857…] ≥ 13 trivial 172.80 200.65 15.68 215.28
#209 [1, 0, 0, -2961803807151…, 61324180930341…] ≥ 13 trivial 176.04 217.78 16.96 229.01