Elliptic Curve Rank Leaderboard

Curves with rank lower bound = 10

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showing 113 of 4205 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#49 [0, 0, 1, -16312387, 25970162646] ≥ 10 trivial 43.77 50.96 3.03 61.48
#760 [1, -1, 1, -44785887, 113653147335] ≥ 10 trivial 44.48 53.49 3.25 64.47
#95 [0, -1, 0, -9581420, 11213539236] ≥ 10 trivial 44.49 49.05 2.88 59.84
#99 [1, -1, 0, -10194109, 12647638369] ≥ 10 trivial 44.54 48.60 2.87 60.04
#100 [0, 0, 1, -21078967, 35688990786] ≥ 10 trivial 44.57 52.25 3.11 62.20
#60 [1, -1, 0, -1536664, 648294124] ≥ 10 trivial 44.68 45.38 2.51 54.35
#101 [1, -1, 0, -4513546, 3716615296] ≥ 10 trivial 45.12 45.81 2.65 57.59
#774 [0, 0, 0, -27718327, 55094082970] ≥ 10 trivial 45.22 52.30 3.15 63.03
#775 [1, -1, 0, -3401281, 2458689193] ≥ 10 trivial 45.27 45.96 2.62 56.77
#776 [0, 0, 1, -2917747, 2367256296] ≥ 10 trivial 45.34 48.17 2.73 56.69
#82 [0, 0, 1, -1788817, 843180666] ≥ 10 trivial 45.53 45.53 2.53 54.80
#83 [0, 1, 1, -1856500, 1072474760] ≥ 10 trivial 45.92 45.92 2.56 55.11
#84 [0, 0, 1, -2438527, 1545098346] ≥ 10 trivial 46.08 46.08 2.59 55.84
#1382 [0, -1, 0, -2166818128665, 12248052295665…] ≥ 10 ℤ/2ℤ 51.06 84.00 5.87 96.83
#2021 [0, -1, 0, -3032742853505, 15413520131227…] ≥ 10 ℤ/2ℤ 51.06 90.37 6.22 97.84
#359 [0, -1, 0, -306746316, 2202727337316] ≥ 10 trivial 52.21 60.78 3.81 70.36
#371 [0, 0, 0, -851586267, 7403133843290] ≥ 10 trivial 52.72 64.93 4.12 73.30
#468 [0, -1, 0, -17449247001, 88689718750310…] ≥ 10 trivial 53.00 67.58 4.60 82.36
#370 [1, -1, 0, -49868394, 160512600824] ≥ 10 trivial 53.53 56.42 3.42 65.13
#564 [1, 1, 0, -9202148400, 34482288940200…] ≥ 10 trivial 54.25 69.48 4.59 80.47
#4095 [1, 1, 0, -551445732182, 38891260836442…] ≥ 10 ℤ/2ℤ 54.86 85.20 5.79 92.72
#4096 [0, -1, 0, -2285162669176, 31863910635630…] ≥ 10 ℤ/2ℤ 55.07 89.47 6.15 96.99
#4056 [1, 1, 0, -129075833083, 95518746559857…] ≥ 10 ℤ/2ℤ 55.14 80.57 5.41 88.36
#4097 [0, -1, 0, -935215007281, 35046690582446…] ≥ 10 ℤ/2ℤ 55.82 86.84 5.93 94.31
#572 [1, -1, 1, -68837738612, 64365579431205…] ≥ 10 trivial 55.82 77.08 5.17 86.48
#315 [0, 1, 0, -8110664060, 28728277448606…] ≥ 10 trivial 56.06 69.49 4.57 80.11
#3617 [1, 0, 1, -7014056479127…, 22148353752454…] ≥ 10 ℤ/2ℤ 56.17 110.41 7.99 121.07
#3975 [1, 0, 1, 52506820321303, 10779070569158…] ≥ 10 ℤ/2ℤ 56.17 107.53 7.64 114.99
#472 [1, 1, 1, -8613625056, 34496645078835…] ≥ 10 trivial 56.33 71.43 4.68 80.47
#474 [0, 1, 0, -323494567865, 68724510883515…] ≥ 10 trivial 56.34 80.82 5.51 91.12
#595 [0, 0, 1, -22193305147, 12869882002645…] ≥ 10 trivial 56.63 71.85 4.80 83.11
#4098 [0, 1, 0, -349223105919, 58203316744233…] ≥ 10 ℤ/2ℤ 56.89 83.13 5.64 91.35
#4099 [0, -1, 0, -972282138680, 23146875327295…] ≥ 10 ℤ/2ℤ 57.01 86.47 5.91 94.42
#562 [0, 0, 0, -25908117228, 15947814022800…] ≥ 10 trivial 57.10 71.74 4.81 83.55
#349 [1, 0, 0, -60329721215, 59410902286031…] ≥ 10 trivial 57.25 76.16 5.11 86.16
#470 [1, 1, 1, -315277608363, 72862525021888…] ≥ 10 trivial 57.32 81.65 5.55 91.18
#460 [1, -1, 1, -1255871985167, 53288797353969…] ≥ 10 trivial 57.38 84.30 5.82 95.19
#555 [1, -1, 1, -50167445243, 39424916889835…] ≥ 10 trivial 57.51 76.30 5.10 85.53
#4158 [0, -1, 0, -5488700773320…, -6047583648979…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 57.56 126.54 9.24 134.15
#553 [1, 1, 0, -1798458358, 29149735456048] ≥ 10 trivial 57.58 63.82 4.15 75.54
#3618 [1, 0, 1, -2949917317290…, 83167657601473…] ≥ 10 ℤ/2ℤ 57.64 120.77 8.75 128.28
#3974 [1, 0, 1, -5141619342686…, 44748371944456…] ≥ 10 ℤ/2ℤ 57.64 114.41 8.40 127.05
#3619 [1, 0, 0, -3062457847946…, 64040074904742…] ≥ 10 ℤ/2ℤ 59.33 121.63 8.93 132.40
#3972 [1, 0, 0, -6561361428700…, -1094291941753…] ≥ 10 ℤ/2ℤ 59.33 126.90 9.27 134.69
#4157 [1, -1, 0, -1765807184842…, 87258868579783…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 59.94 127.49 9.39 137.66
#3620 [0, -1, 0, -3908966416437…, 28751192114807…] ≥ 10 ℤ/2ℤ 60.50 129.87 9.59 140.04
#3971 [0, -1, 0, -3872509128953…, 29331630951864…] ≥ 10 ℤ/2ℤ 60.50 119.72 9.24 140.01
#1203 [1, 1, 1, -4872160096445…, -3100495634855…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 60.88 132.43 9.75 140.70
#1374 [1, 1, 1, -1702849424631…, 81543305806052…] ≥ 10 ℤ/2ℤ 60.88 127.70 9.40 137.55
#2089 [1, 1, 1, -7238567263488…, -2370220075388…] ≥ 10 ℤ/2ℤ 60.88 132.70 10.09 148.80
#2090 [1, 1, 1, 11932381692979…, -1979842001406…] ≥ 10 ℤ/2ℤ 60.88 136.88 10.09 143.83
#3621 [1, 1, 0, -7967026321665…, 87946770703510…] ≥ 10 ℤ/2ℤ 61.17 117.48 8.58 128.40
#3973 [1, 1, 0, -8002557031210…, 87134702007321…] ≥ 10 ℤ/2ℤ 61.17 106.58 8.24 128.38
#1395 [1, 0, 0, -2128393013738…, 11958849002784…] ≥ 10 ℤ/3ℤ 61.77 137.87 10.43 152.04
#1085 [0, 0, 0, -4395789203498…, 35049596839234…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 66.58 156.83 11.88 168.03
#1137 [0, 0, 0, -3702685157696…, 14634781986545…] ≥ 10 ℤ/2ℤ 66.58 154.20 11.53 161.65
#2023 [0, 0, 0, -7009893429627…, 22589944527336…] ≥ 10 ℤ/2ℤ 66.58 153.97 12.22 176.33
#2091 [0, 0, 0, -8432841741464…, -3938366605811…] ≥ 10 ℤ/2ℤ 66.58 162.33 12.22 169.98
#1196 [1, 0, 1, -1283794281755…, 55987935129057…] ≥ 10 ℤ/3ℤ 67.39 145.75 11.31 164.33
#301 [0, 1, 0, -11454891505, 53595111623457…] ≥ 10 trivial 68.94 72.41 4.76 81.35
#632 [0, 1, 0, 53659646002842…, 14610806763317…] ≥ 10 ℤ/4ℤ 69.33 177.32 13.46 184.67
#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
#2025 [0, 1, 0, -3012444009560…, 20124296924202…] ≥ 10 ℤ/2ℤ 70.62 162.74 12.70 180.71
#1933 [1, 1, 1, -1787947782144…, 91941993506861…] ≥ 10 ℤ/4ℤ 70.63 179.12 13.85 192.96
#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
#31 [1, 0, 0, -2060795223235…, 10378603920734…] ≥ 10 ℤ/2ℤ 74.56 128.89 9.48 138.12
#3695 [0, 0, 0, -1018772800122…, 38923083106512…] ≥ 10 ℤ/4ℤ 74.72 180.40 13.83 191.27
#3970 [0, 0, 0, -1328737230675…, -9490989457113…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 74.72 177.41 13.48 185.16
#3096 [0, 1, 0, -1773535921942…, 89241911319121…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 75.53 168.35 12.82 179.12
#3696 [1, 0, 0, -1018145777293…, 39205652896580…] ≥ 10 ℤ/4ℤ 75.70 207.37 16.10 218.90
#3967 [1, 0, 0, -1804166658196…, -2967307044392…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 75.70 213.06 16.45 220.62
#3092 [1, 0, 1, -1130324796162…, 14522016996201…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 76.16 172.97 13.24 184.68
#3697 [0, 0, 0, -2930883034151…, 19310407237232…] ≥ 10 ℤ/4ℤ 76.18 192.51 15.06 208.26
#3969 [0, 0, 0, -1999716720835…, 24310580713109…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 76.18 192.06 14.71 200.20
#3698 [1, 1, 0, -9707860480137…, 36511148543945…] ≥ 10 ℤ/4ℤ 76.26 193.38 14.94 204.94
#3968 [1, 1, 0, -1068263567637…, -4158220470450…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 76.26 190.77 14.59 198.32
#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
#3104 [1, 0, 0, -3869089858037…, 71645473412331…] ≥ 10 ℤ/3ℤ 76.94 180.00 13.71 188.37
#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
#3681 [1, -1, 1, -3266529867562…, 71297354488784…] ≥ 10 ℤ/4ℤ 78.51 203.87 15.81 215.49
#3091 [1, 0, 0, -9035181921539…, 10331090455438…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 78.52 172.79 13.21 184.00
#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
#3923 [1, 0, 0, -1153585915174…, 15032819092497…] ≥ 10 ℤ/3ℤ 79.56 186.04 14.36 198.55
#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
#3087 [0, 1, 0, -1314600280180…, 85752692602743…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 80.97 205.06 15.78 212.76
#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
#3107 [0, 0, 0, 0, 46927269375243…] ≥ 10 ℤ/3ℤ 82.21 161.13 12.11 168.59
#32 [1, 0, 0, -3414948705808…, 14626404709123…] ≥ 10 ℤ/2ℤ 82.82 131.73 9.68 139.64
#3859 [1, 0, 0, -7114057665400…, 76205206958176…] ≥ 10 ℤ/3ℤ 83.53 201.04 15.51 211.00
#3086 [1, 0, 0, -2349435075187…, 43721279197334…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 87.35 229.39 17.99 242.13
#3101 [1, 0, 0, -8736253981243…, 12416084781715…] ≥ 10 ℤ/4ℤ 87.35 227.48 17.64 235.00
#3925 [1, 0, 0, -3028438793449…, 65349653551596…] ≥ 10 ℤ/3ℤ 88.39 204.53 15.83 215.30
#3924 [1, 0, 0, -2357071242718…, 43747288136281…] ≥ 10 ℤ/3ℤ 89.17 188.94 14.57 200.70
#3085 [0, 1, 0, -6692387808676…, -3498869682258…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 89.49 216.77 16.76 224.55
#3100 [0, 1, 0, -5049106139198…, 13566369958791…] ≥ 10 ℤ/4ℤ 89.49 219.80 17.11 230.61
#3865 [1, 0, 0, -1515093861677…, 66596247814828…] ≥ 10 ℤ/3ℤ 91.75 210.67 16.30 220.09
#3098 [0, 0, 0, -2901413377029…, 60112620677766…] ≥ 10 ℤ/4ℤ 92.17 228.71 17.99 242.77
#3084 [1, 0, 0, -2153547439709…, 12163674285724…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 92.82 231.74 18.39 248.78
#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
#3083 [1, 0, 0, -2128862406520…, 11946544343617…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 93.58 234.79 18.49 248.74
#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
#1084 [0, 0, 0, -8163466948680…, 89775962868710…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 110.96 259.94 21.83 294.22