Elliptic Curve Rank Leaderboard

Curves with rank lower bound = 19

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showing 70 of 4205 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#3726 [0, 1, 0, -6481628948079…, 20124165015889…] ≥ 19 trivial 129.14 176.91 13.62 189.92
#3594 [0, 1, 0, -6139623020352…, 58644442303563…] ≥ 19 trivial 130.22 169.60 13.03 182.85
#3542 [0, 0, 0, -1046682249624…, 41476069532893…] ≥ 19 trivial 132.83 165.71 12.64 177.55
#1958 [0, 1, 0, -6975831472259…, 89827365686935…] ≥ 19 trivial 135.67 175.27 13.32 183.70
#718 [1, 0, 0, -4168911634456…, 10390898261941…] ≥ 19 trivial 136.09 203.63 15.83 216.23
#1961 [1, -1, 1, -1420969103876…, 55003831797115…] ≥ 19 trivial 136.43 183.57 14.02 192.27
#3612 [0, 1, 0, -1208726270344…, 50229208582736…] ≥ 19 trivial 137.18 181.00 13.87 191.78
#3613 [0, 1, 0, -8132197384905…, 32102525064072…] ≥ 19 trivial 137.67 181.91 13.89 190.85
#1959 [1, 0, 0, -5144172087686…, 14296347465764…] ≥ 19 trivial 137.97 177.46 13.62 189.23
#3892 [1, -1, 1, -4918626708330…, 42971607142455…] ≥ 19 trivial 138.12 199.31 15.39 209.86
#3614 [1, -1, 1, -3565267067359…, 26010590967585…] ≥ 19 trivial 139.70 210.34 16.38 222.67
#637 [1, 0, 0, -8799554752512…, 31781550723053…] ≥ 19 trivial 139.85 203.63 15.94 218.46
#598 [1, -1, 1, -6229212651440…, 18987511484414…] ≥ 19 trivial 140.86 218.80 17.09 231.25
#280 [1, 1, 1, -1475758023603…, 21467548255862…] ≥ 19 trivial 141.16 188.40 14.49 199.29
#1964 [1, 0, 0, -2448453635331…, 14873433893647…] ≥ 19 trivial 141.26 210.02 16.32 221.55
#1962 [1, -1, 1, -1868137169385…, 32157571671558…] ≥ 19 trivial 141.71 203.71 15.74 213.88
#1960 [0, 1, 0, -6144082701371…, 18979078636187…] ≥ 19 trivial 141.85 179.27 13.72 189.80
#695 [1, 0, 0, -2002873673357…, 89367182565100…] ≥ 19 trivial 142.71 198.55 15.26 207.11
#234 [1, 0, 1, -2770478907376…, 17751384795734…] ≥ 19 trivial 142.95 164.66 12.74 180.46
#1963 [0, 1, 1, -9928086701207…, 39046431327718…] ≥ 19 trivial 143.22 208.41 16.15 218.87
#422 [1, -1, 1, -7563743114616…, 25010503377156…] ≥ 19 trivial 143.32 193.02 14.89 204.19
#736 [1, -1, 1, -6233071538505…, 59944564784889…] ≥ 19 trivial 144.42 196.63 15.31 210.52
#322 [1, -1, 1, -8662150489313…, 89490938437992…] ≥ 19 trivial 144.60 188.46 14.44 197.69
#160 [1, -1, 0, -7321856729836…, 24500058176508…] ≥ 19 trivial 146.22 179.39 13.74 190.31
#240 [1, -1, 0, -2901585273794…, 19500338179289…] ≥ 19 trivial 146.55 156.34 11.81 166.83
#4136 [1, -1, 1, -1095852622006…, 13852523739455…] ≥ 19 trivial 147.06 172.98 13.24 184.58
#4135 [1, 1, 0, -2993481564762…, 57978319654553…] ≥ 19 trivial 148.65 164.46 12.44 173.78
#347 [1, 0, 0, -7825076977946…, 26712930332009…] ≥ 19 trivial 149.34 191.59 14.83 204.30
#6 [1, -1, 1, -2063758701246…, 32838647793306…] ≥ 19 trivial 149.99 191.08 14.66 200.30
#294 [0, 1, 0, -4101421576978…, 10100783138291…] ≥ 19 trivial 150.45 188.59 14.63 202.36
#225 [1, 0, 0, -7493044811565…, 24956345253788…] ≥ 19 trivial 150.79 217.09 17.05 231.80
#694 [1, 0, 1, -1479394361826…, 66336348463073…] ≥ 19 trivial 151.29 168.63 12.81 178.57
#290 [1, -1, 1, -1430641213130…, 64403389265680…] ≥ 19 trivial 151.41 181.71 13.92 192.29
#90 [1, -1, 1, -1049634928262…, 12127108227154…] ≥ 19 trivial 152.53 188.86 14.48 198.27
#331 [1, 1, 0, -1976589981599…, 93070638926001…] ≥ 19 trivial 153.30 198.20 15.24 207.07
#292 [1, 1, 0, -6463890105137…, 19998554362363…] ≥ 19 trivial 154.36 174.67 13.54 189.91
#332 [1, 1, 1, -8789621129176…, 10032036623674…] ≥ 19 trivial 154.37 196.26 15.35 211.55
#330 [0, -1, 0, -4828861268377…, 12887550036122…] ≥ 19 trivial 156.30 203.77 15.86 216.66
#336 [1, -1, 1, -1556258089679…, 23456109321321…] ≥ 19 trivial 156.42 215.41 16.78 227.08
#333 [1, 0, 0, -2389110518868…, 14196012150934…] ≥ 19 trivial 156.85 194.18 15.08 207.64
#341 [1, -1, 0, -3084587601676…, 65997762542852…] ≥ 19 trivial 156.88 187.71 14.56 201.50
#321 [1, -1, 1, -2521604575949…, 15199478795713…] ≥ 19 trivial 156.95 224.38 17.50 235.44
#3914 [1, -1, 0, -1532843794986…, 21742703900122…] ≥ 19 trivial 157.64 175.96 13.41 185.59
#296 [1, 0, 0, -3190204396715…, 66819798277603…] ≥ 19 trivial 158.60 205.33 15.88 215.42
#346 [1, 0, 0, -1650879174392…, 82791225908140…] ≥ 19 trivial 158.65 209.33 16.24 220.38
#281 [1, 0, 0, -2620963113310…, 16293457063716…] ≥ 19 trivial 159.07 195.11 15.13 207.92
#320 [1, 0, 0, -3487873891980…, 24443456667622…] ≥ 19 trivial 159.54 212.13 16.46 222.59
#323 [1, 0, 0, -4885832009149…, 13965569369020…] ≥ 19 trivial 159.59 207.19 16.01 216.82
#334 [1, -1, 0, -2008805871910…, 10587070699068…] ≥ 19 trivial 160.41 196.96 15.18 207.12
#338 [1, 1, 1, -8556314674380…, 30545123720525…] ≥ 19 trivial 160.90 205.70 16.01 218.38
#345 [1, 0, 0, -4849583885280…, 37444799703117…] ≥ 19 trivial 161.62 186.73 14.30 195.95
#335 [1, -1, 1, -1096484663303…, 14831224909223…] ≥ 19 trivial 162.14 202.69 15.64 212.33
#388 [1, 0, 0, -2271278066069…, 41395746156416…] ≥ 19 trivial 162.61 216.40 16.86 228.22
#337 [1, 0, 0, -1622682797685…, 41794466887288…] ≥ 19 trivial 162.63 226.34 17.56 234.11
#381 [1, -1, 0, -1098236516565…, 13881034132195…] ≥ 19 trivial 165.15 200.75 15.55 212.22
#291 [1, 0, 0, -3235689396243…, 70815900914955…] ≥ 19 trivial 165.75 214.65 16.85 229.28
#295 [1, 0, 1, -1737623861410…, 27567969093931…] ≥ 19 trivial 167.11 216.15 16.82 227.41
#293 [1, -1, 0, -5903488565485…, 55188035745958…] ≥ 19 trivial 170.67 209.54 16.42 224.17
#339 [1, 1, 0, -4918297554360…, 13244459911694…] ≥ 19 trivial 172.91 203.92 15.87 216.72
#3553 [1, 0, 0, -2011143219219…, 30156900228721…] ≥ 19 ℤ/2ℤ 173.46 315.70 25.03 324.56
#3875 [1, 0, 0, -3099002508611…, 20997686720958…] ≥ 19 ℤ/2ℤ 173.46 315.28 25.38 332.76
#297 [1, -1, 1, -1020568041189…, 12353237625156…] ≥ 19 trivial 174.17 242.52 19.01 253.45
#342 [1, 1, 1, -1391553064700…, 63223760170886…] ≥ 19 trivial 175.94 205.74 16.08 219.84
#343 [1, -1, 1, -4328588152353…, 10961498966678…] ≥ 19 trivial 176.62 211.30 16.79 230.15
#39 [1, -1, 1, 31368015812338…, 30203880269856…] ≥ 19 ℤ/2ℤ 192.85 335.25 26.62 342.70
#312 [1, -1, 1, -6568019580778…, 63570487024691…] ≥ 19 ℤ/2ℤ 192.85 338.09 26.96 348.83
#1951 [1, -1, 1, -5402916719086…, 48337258598865…] ≥ 19 ℤ/2ℤ 193.19 330.64 26.67 348.25
#1996 [1, -1, 1, -5598400084645…, 44651244271983…] ≥ 19 ℤ/2ℤ 193.19 339.44 27.01 348.35
#442 [1, -1, 1, -1372671280100…, 19558755605299…] ≥ 19 trivial 387.98 461.52 37.38 475.38
#443 [1, 0, 1, -4702051609187…, 37908382840446…] ≥ 19 trivial 515.22 558.72 45.33 568.88