Elliptic Curve Rank Leaderboard

Curves with rank lower bound = 14

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showing 62 of 4205 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#759 [0, 0, 0, -162487804927, 24573741560967…] ≥ 14 trivial 72.30 78.60 5.33 89.06
#1224 [1, -1, 0, -69256750159, 73632441472559…] ≥ 14 trivial 72.93 76.76 5.15 86.59
#685 [1, -1, 0, -17511333709, 74514797469532…] ≥ 14 trivial 73.03 73.72 4.86 82.37
#244 [0, 0, 0, -44788551847, 24622037869881…] ≥ 14 trivial 73.66 77.13 5.13 85.19
#1221 [1, -1, 0, -33047232934, 18472311900249…] ≥ 14 trivial 73.73 75.81 5.03 84.28
#592 [1, -1, 0, -51643728544, 44405357753733…] ≥ 14 trivial 74.08 74.77 5.02 85.62
#1222 [0, 0, 0, -423412235407, 10713766934484…] ≥ 14 trivial 74.19 80.60 5.53 91.95
#1223 [1, -1, 0, -111652073395, 14513129257645…] ≥ 14 trivial 74.33 76.63 5.20 87.95
#797 [0, 0, 0, -77127840412, 92882366180648…] ≥ 14 trivial 74.59 78.05 5.23 87.06
#593 [1, -1, 0, -47306953864, 41038696992715…] ≥ 14 trivial 74.60 75.29 5.04 85.42
#798 [0, 0, 0, -398361252247, 96907515571559…] ≥ 14 trivial 74.92 78.39 5.43 91.75
#799 [0, 0, 0, -394654495872, 90997119655445…] ≥ 14 trivial 74.98 81.86 5.58 91.72
#587 [1, -1, 0, -6935133529, 13230870021401…] ≥ 14 trivial 74.98 75.68 4.99 83.16
#800 [1, 1, 0, -174627385832, 27982674874382…] ≥ 14 trivial 75.13 76.92 5.26 89.27
#714 [0, 0, 1, -21939919267, 64933794078576…] ≥ 14 trivial 75.28 75.28 4.97 83.05
#590 [1, -1, 0, -37987453366, 33156400891066…] ≥ 14 trivial 75.51 76.20 5.07 85.00
#103 [1, -1, 0, -277442745099, 47682424180908…] ≥ 14 trivial 76.85 81.94 5.55 90.66
#753 [1, -1, 1, -7284626753853…, 23946566213414…] ≥ 14 trivial 82.22 120.91 9.01 135.00
#3 [0, 0, 1, -2248232106757, 13294720913796…] ≥ 14 trivial 86.48 86.48 5.99 96.99
#221 [1, 1, 1, -1771379373053…, 92256564201965…] ≥ 14 trivial 89.87 126.82 9.36 137.70
#195 [1, -1, 1, -5443169133558…, 18054823366157…] ≥ 14 trivial 91.28 139.48 10.34 148.25
#2177 [0, 1, 0, -9787083920129…, -1133366643231…] ≥ 14 ℤ/2ℤ 92.35 160.38 12.13 170.43
#2315 [0, 1, 0, -1638845978843…, 57340415418471…] ≥ 14 ℤ/2ℤ 92.35 156.91 11.78 165.07
#196 [1, -1, 1, -5850789825527…, 17942601723146…] ≥ 14 trivial 92.52 124.43 9.13 134.43
#197 [1, -1, 1, -1584800197502…, 24771530688804…] ≥ 14 trivial 94.87 133.58 9.92 144.28
#198 [1, 1, 0, -1519707018181…, 22869247242133…] ≥ 14 trivial 95.19 145.33 10.98 157.94
#3640 [1, 0, 0, -3921149947658…, 13338205953562…] ≥ 14 ℤ/2ℤ 95.52 201.45 15.48 209.13
#4002 [1, 0, 0, -5251564154980…, 14639874124131…] ≥ 14 ℤ/2ℤ 95.52 202.67 15.83 216.91
#491 [0, -1, 0, -4198748675932…, 10467745656896…] ≥ 14 trivial 98.09 104.95 7.70 119.53
#3641 [1, 0, 1, -9401745906324…, 34888072712659…] ≥ 14 ℤ/2ℤ 98.29 192.91 14.91 204.85
#4003 [1, 0, 1, -9572499989897…, -2233397097131…] ≥ 14 ℤ/2ℤ 98.29 190.50 14.57 197.99
#471 [1, 0, 0, -1074823784146…, 42871915872437…] ≥ 14 trivial 99.98 121.63 9.09 136.17
#1199 [1, 0, 0, -9185056688281…, 10373065713399…] ≥ 14 ℤ/2ℤ 100.40 171.93 13.01 179.38
#2005 [1, 0, 0, -9959584832935…, 37752078253065…] ≥ 14 ℤ/2ℤ 100.40 166.29 12.66 177.39
#3642 [1, 0, 0, -2684478541531…, 53078430978883…] ≥ 14 ℤ/2ℤ 100.67 175.74 13.46 187.27
#4004 [1, 0, 0, -7122837686554…, 12936335300587…] ≥ 14 ℤ/2ℤ 100.67 181.58 13.81 189.03
#214 [1, -1, 1, -5791297226839…, -1024153228236…] ≥ 14 trivial 101.10 147.55 10.99 155.04
#3643 [1, 1, 1, -8637439992953…, 98554697843229…] ≥ 14 ℤ/2ℤ 101.15 199.99 15.48 211.52
#4001 [1, 1, 1, -1385318294350…, 62758481984595…] ≥ 14 ℤ/2ℤ 101.15 196.80 15.83 219.82
#3644 [0, 0, 0, -7890740433507…, 24481044525163…] ≥ 14 ℤ/2ℤ 101.16 181.32 13.85 190.50
#4005 [0, 0, 0, 62224547647428…, 18642056625464…] ≥ 14 ℤ/2ℤ 101.16 177.80 13.50 185.16
#1977 [1, 0, 0, -9468594009199…, 39155524434270…] ≥ 14 ℤ/2ℤ 102.13 195.89 15.06 205.07
#2006 [1, 0, 0, -9739872505237…, 36997549385777…] ≥ 14 ℤ/2ℤ 102.13 186.83 14.71 204.95
#3193 [1, 0, 0, -7563016932293…, 38636935977988…] ≥ 14 ℤ/2ℤ 107.23 197.02 15.12 205.04
#3194 [1, 0, 0, -8620423182399…, 30799392588225…] ≥ 14 ℤ/2ℤ 107.23 189.44 14.77 204.59
#3190 [1, 0, 0, -4784776337275…, 12735152449080…] ≥ 14 ℤ/2ℤ 108.69 215.62 16.94 230.45
#3191 [1, 0, 0, -2559847023411…, 25830728244586…] ≥ 14 ℤ/2ℤ 108.69 214.73 16.59 222.65
#3188 [1, 0, 0, -3937441309198…, 49527166134005…] ≥ 14 ℤ/2ℤ 109.32 188.41 14.40 196.32
#3197 [1, 0, 0, -7372911492530…, 24359439190661…] ≥ 14 ℤ/2ℤ 109.32 189.31 14.74 204.12
#3196 [1, 0, 0, -1742823730213…, 54308080828276…] ≥ 14 ℤ/2ℤ 109.59 189.03 14.43 196.51
#3198 [1, 0, 0, -3640035976198…, 26617525942297…] ≥ 14 ℤ/2ℤ 109.59 182.86 14.09 195.09
#3184 [0, 0, 0, -9850452550387…, 37574023149451…] ≥ 14 ℤ/2ℤ 111.35 191.71 14.87 204.99
#3187 [1, 0, 0, -5737694661886…, 52897933632968…] ≥ 14 ℤ/2ℤ 111.90 193.27 15.19 210.27
#1936 [0, 1, 1, -2479143454512…, 47463673909255…] ≥ 14 ℤ/3ℤ 112.22 256.27 20.27 269.92
#3186 [1, 0, 1, -2386992414119…, 73082734473257…] ≥ 14 ℤ/2ℤ 115.60 194.25 14.87 201.71
#1935 [1, 0, 1, -1886778476063…, 99753805569209…] ≥ 14 ℤ/3ℤ 132.31 306.99 25.09 331.27
#35 [0, 1, 0, -1692310759026…, 83937939884098…] ≥ 14 ℤ/2ℤ 133.06 208.99 16.23 220.42
#2007 [0, 1, 0, -1917477672479…, -1125424112540…] ≥ 14 ℤ/2ℤ 133.06 206.31 15.88 213.89
#639 [0, 0, 1, 0, 90519072625313…] ≥ 14 trivial 148.06 157.84 11.83 165.29
#1835 [0, 1, 0, -1268052845566…, 64379331369939…] ≥ 14 ℤ/2ℤ × ℤ/2ℤ 158.15 329.39 26.14 336.99
#204 [1, 0, 0, -4081611266679…, 31752380371548…] ≥ 14 trivial 160.98 194.70 15.18 209.25
#206 [1, 0, 0, -3740816273221…, 84694590726964…] ≥ 14 trivial 171.85 205.85 15.92 215.90