Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 18 and torsion ℤ/2ℤ

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showing 32 of 3920 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#802 [1, 0, 0, -2918870306905…, 19149137396656…] ≥ 20 ℤ/2ℤ 208.23 361.21 28.97 374.03
#1992 [1, 0, 0, -1779353550079…, 34258366504667…] ≥ 20 ℤ/2ℤ 208.23 367.66 29.32 375.19
#40 [1, -1, 1, -2445376733363…, 96171018205318…] ≥ 20 ℤ/2ℤ 216.79 393.12 31.46 401.13
#313 [1, -1, 1, -2201688153834…, 12571948427558…] ≥ 20 ℤ/2ℤ 216.79 385.44 31.12 400.82
#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
#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
#63 [1, 0, 0, -1718612993735…, 44567762612833…] ≥ 18 ℤ/2ℤ 149.80 295.60 23.33 303.36
#307 [1, 0, 0, -1474705521041…, 68901672366892…] ≥ 18 ℤ/2ℤ 149.80 288.33 22.98 302.90
#3237 [1, 0, 0, -1569482960904…, 75676715828990…] ≥ 18 ℤ/2ℤ 164.34 300.20 24.08 316.91
#3239 [1, 0, 0, -1036384623437…, 10412633142849…] ≥ 18 ℤ/2ℤ 164.34 300.23 23.74 308.75
#73 [1, 0, 0, -1310927671383…, 11513825206543…] ≥ 18 ℤ/2ℤ 164.54 287.68 22.68 295.64
#310 [1, 0, 0, -1873940813132…, 98716542165119…] ≥ 18 ℤ/2ℤ 164.54 288.40 23.02 303.62
#3233 [1, 0, 0, -6202714082793…, 13295318602026…] ≥ 18 ℤ/2ℤ 172.35 319.79 25.36 327.94
#3235 [1, 0, 0, -5683314401210…, 16489084803631…] ≥ 18 ℤ/2ℤ 172.35 311.92 25.01 327.68
#3232 [1, -1, 1, -5639193550250…, 16287718866634…] ≥ 18 ℤ/2ℤ 173.49 313.66 25.07 327.65
#3236 [1, -1, 1, -4302960497497…, 13378615184009…] ≥ 18 ℤ/2ℤ 173.49 312.31 24.72 319.93
#3723 [1, 0, 0, -3930848753786…, 29157092491487…] ≥ 18 ℤ/2ℤ 177.30 281.68 22.25 292.03
#3229 [1, 0, 0, -1383174634046…, 83630063023303…] ≥ 18 ℤ/2ℤ 188.92 322.65 25.59 330.92
#3230 [1, 0, 0, -1508424869978…, 71299826352455…] ≥ 18 ℤ/2ℤ 188.92 314.67 25.25 330.60
#38 [1, 0, 0, -2617596009270…, 51069381476131…] ≥ 18 ℤ/2ℤ 189.76 341.53 27.28 352.98
#311 [1, 0, 0, -4727234268812…, -4294150883777…] ≥ 18 ℤ/2ℤ 189.76 347.17 27.62 354.75
#505 [1, 0, 1, -2497797449771…, 46349171130280…] ≥ 18 ℤ/2ℤ 191.25 315.09 25.02 325.21
#1997 [1, 0, 1, -2473171297950…, 47340055711440…] ≥ 18 ℤ/2ℤ 191.25 305.00 24.68 325.18
#506 [1, 0, 0, -2594964848240…, 50016117156480…] ≥ 18 ℤ/2ℤ 196.97 328.29 26.15 339.14
#1998 [1, 0, 0, -5450464199885…, -7985404066455…] ≥ 18 ℤ/2ℤ 196.97 333.60 26.50 341.37
#481 [0, 0, 0, -2018433972704…, 12890206002478…] ≥ 18 ℤ/2ℤ 197.40 364.46 29.09 373.23
#504 [1, 0, 0, -1261852208040…, 17207833052907…] ≥ 18 ℤ/2ℤ 216.54 379.53 30.50 392.24
#503 [1, 0, 0, -2828153504755…, 18290495106905…] ≥ 18 ℤ/2ℤ 253.26 443.02 35.84 456.83