Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 17 and torsion ℤ/2ℤ

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showing 64 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
#3565 [1, -1, 0, -1754543736470…, 10629934898753…] ≥ 17 ℤ/2ℤ 143.79 247.46 19.32 255.07
#3485 [1, 0, 0, -5384108389823…, 15204073247883…] ≥ 17 ℤ/2ℤ 146.35 256.58 20.39 272.25
#3472 [1, 1, 1, -9040157640002…, 71844692098536…] ≥ 17 ℤ/2ℤ 150.36 272.62 21.42 280.71
#1101 [1, 0, 0, -1243378215801…, 53356855174745…] ≥ 17 ℤ/2ℤ 151.24 286.79 22.91 302.39
#2000 [1, 0, 0, -7010823537213…, 10033288229518…] ≥ 17 ℤ/2ℤ 151.24 286.28 22.56 294.45
#3692 [1, 0, 0, -3345085019976…, 23231015871477…] ≥ 17 ℤ/2ℤ 151.47 280.47 22.17 291.55
#3693 [1, 0, 0, -3501576044837…, 25104351887403…] ≥ 17 ℤ/2ℤ 156.76 265.72 20.99 277.87
#37 [1, 0, 1, -9570894890557…, 35159825297065…] ≥ 17 ℤ/2ℤ 161.57 291.12 23.04 301.61
#309 [1, 0, 1, -1392478974260…, -1217114826246…] ≥ 17 ℤ/2ℤ 161.57 287.91 22.69 295.82
#519 [1, 0, 0, -2394980359951…, -2831350656023…] ≥ 17 ℤ/2ℤ 163.85 289.50 22.83 297.45
#1999 [1, 0, 0, -1607547610816…, 76377482560170…] ≥ 17 ℤ/2ℤ 163.85 292.75 23.17 303.16
#2146 [1, -1, 1, -1018436625192…, 58853455947619…] ≥ 17 ℤ/2ℤ 168.69 273.37 21.48 281.07
#2160 [1, -1, 1, -1376287698021…, 62114650230038…] ≥ 17 ℤ/2ℤ 168.69 274.52 21.82 288.88
#511 [1, -1, 1, -1347598821245…, 59588718300454…] ≥ 17 ℤ/2ℤ 171.70 318.93 25.39 330.27
#526 [1, 0, 0, 10740287287663…, 42244751666753…] ≥ 17 ℤ/2ℤ 172.58 312.90 24.75 320.35
#514 [1, -1, 1, -9688649196963…, 37092251763493…] ≥ 17 ℤ/2ℤ 177.05 317.96 25.31 329.30
#518 [1, 0, 0, -7014295011545…, 70569323689335…] ≥ 17 ℤ/2ℤ 177.58 351.74 28.11 362.85
#517 [1, 0, 0, -4676250172766…, 12302853014843…] ≥ 17 ℤ/2ℤ 182.41 354.03 28.46 368.54
#513 [1, -1, 1, -8545878596603…, 85931558533293…] ≥ 17 ℤ/2ℤ 182.97 312.93 24.81 321.99
#523 [1, 1, 1, -9101887567534…, 89795409530709…] ≥ 17 ℤ/2ℤ 186.11 341.08 27.15 349.81
#508 [1, -1, 1, -5379288624256…, 47976421655098…] ≥ 17 ℤ/2ℤ 187.55 320.68 25.64 334.42
#512 [1, 0, 0, -2125729794087…, 37478276525551…] ≥ 17 ℤ/2ℤ 190.49 340.55 27.21 352.36
#515 [1, 0, 0, -1547542866227…, 72336427195558…] ≥ 17 ℤ/2ℤ 190.78 333.98 26.61 344.50
#509 [0, -1, 0, -5424376854878…, 47838663251397…] ≥ 17 ℤ/2ℤ 194.52 323.55 25.76 334.44
#525 [1, 0, 1, -5519473106759…, 15709950916757…] ≥ 17 ℤ/2ℤ 196.17 329.27 26.28 341.40
#520 [1, 0, 0, -8200472632584…, 84810127818880…] ≥ 17 ℤ/2ℤ 198.44 326.10 25.92 335.68
#510 [1, 0, 1, -8953711021620…, 10309659961796…] ≥ 17 ℤ/2ℤ 202.27 362.34 29.17 377.39
#522 [1, 1, 1, -9560119373282…, 11205917328296…] ≥ 17 ℤ/2ℤ 212.12 366.63 29.35 377.59
#516 [1, 0, 0, -1642440073507…, 80559514409142…] ≥ 17 ℤ/2ℤ 212.87 374.18 30.02 386.12
#521 [1, -1, 1, -3356619719174…, 30321206348307…] ≥ 17 ℤ/2ℤ 221.59 366.55 29.26 374.94
#507 [1, 0, 0, -8489423401566…, 30039718721636…] ≥ 17 ℤ/2ℤ 229.40 398.90 32.12 411.77
#524 [1, 0, 1, -2047287438765…, 35383097091233…] ≥ 17 ℤ/2ℤ 229.76 382.05 30.66 393.69