Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 16 and torsion ℤ/2ℤ

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showing 99 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
#3544 [0, -1, 0, -5405031090996…, 48199423486082…] ≥ 16 ℤ/2ℤ 119.29 197.66 15.33 210.09
#3546 [0, -1, 0, -2852685544659…, 93841331888016…] ≥ 16 ℤ/2ℤ 119.29 203.92 15.68 211.42
#3523 [1, 1, 1, -9216780967867…, 33822940405248…] ≥ 16 ℤ/2ℤ 124.92 220.68 17.22 232.42
#3524 [1, 1, 1, -3111217364592…, 77951581225708…] ≥ 16 ℤ/2ℤ 124.92 226.61 17.56 234.07
#3527 [1, 1, 1, 35625522807929…, 10705546828242…] ≥ 16 ℤ/2ℤ 126.76 229.18 17.79 236.47
#3529 [1, 1, 1, -9713478764873…, 13934495013154…] ≥ 16 ℤ/2ℤ 126.76 224.97 17.44 232.57
#3653 [1, 0, 0, -7012573928425…, 22474301246676…] ≥ 16 ℤ/2ℤ 131.97 219.66 17.14 231.60
#3486 [1, 1, 1, -3575852680171…, 78511122853996…] ≥ 16 ℤ/2ℤ 132.27 247.35 19.37 257.21
#3654 [1, 0, 0, -7447861449700…, 78133085784531…] ≥ 16 ℤ/2ℤ 132.64 239.09 18.82 252.50
#3655 [1, 0, 0, -2706381903778…, 53529269933708…] ≥ 16 ℤ/2ℤ 132.79 231.38 18.09 242.56
#3487 [1, -1, 1, -1978662656511…, 19547913950717…] ≥ 16 ℤ/2ℤ 133.71 233.76 18.18 241.62
#3471 [1, 0, 1, -3501180341006…, 79718109217596…] ≥ 16 ℤ/2ℤ 135.05 242.13 19.16 257.14
#3489 [1, 0, 0, -2653537278084…, 52377999300372…] ≥ 16 ℤ/2ℤ 135.23 230.32 18.04 242.50
#2147 [1, 0, 0, -5434530300889…, 48746430388378…] ≥ 16 ℤ/2ℤ 137.33 236.81 18.70 251.56
#2159 [1, 0, 0, -8694423726071…, 31203931535373…] ≥ 16 ℤ/2ℤ 137.33 230.39 19.05 259.87
#3488 [1, -1, 1, -1433531895173…, 31941409442865…] ≥ 16 ℤ/2ℤ 137.98 233.17 18.12 240.65
#1100 [1, 0, 0, 88871190402766…, 39846859243544…] ≥ 16 ℤ/2ℤ 139.10 245.72 19.17 253.03
#2001 [1, 0, 0, -2402337110502…, 51657476116291…] ≥ 16 ℤ/2ℤ 139.10 241.51 18.82 249.11
#1975 [1, 0, 0, -5793524243061…, -5730584452758…] ≥ 16 ℤ/2ℤ 141.34 251.08 19.62 258.66
#2002 [1, 0, 0, -3221870882255…, 69750098909627…] ≥ 16 ℤ/2ℤ 141.34 245.43 19.27 256.89
#3226 [1, 0, 1, -3432055965319…, 61269756155614…] ≥ 16 ℤ/2ℤ 142.13 234.83 18.28 243.27
#3227 [1, 0, 1, -5167122933105…, 45205967736623…] ≥ 16 ℤ/2ℤ 142.13 234.90 18.63 251.40
#3223 [1, 0, 0, -1465418936983…, 19008878679275…] ≥ 16 ℤ/2ℤ 145.48 259.40 20.35 268.35
#3225 [1, 0, 0, 22461831362529…, 99681757298539…] ≥ 16 ℤ/2ℤ 145.48 264.11 20.69 271.41
#487 [1, 0, 0, -1622978806074…, 22311725746775…] ≥ 16 ℤ/2ℤ 172.84 325.29 25.79 332.88
#488 [1, 1, 1, -1217797688174…, 15685515258825…] ≥ 16 ℤ/2ℤ 183.44 326.89 26.00 336.87
#528 [1, -1, 1, -3740245850108…, 79533615237633…] ≥ 16 ℤ/2ℤ 193.19 331.09 26.33 340.24
#486 [1, -1, 1, -6829211946345…, 68219554456710…] ≥ 16 ℤ/2ℤ 202.19 351.02 28.08 362.76
#527 [1, -1, 1, -7542656338846…, 78468443077032…] ≥ 16 ℤ/2ℤ 204.10 379.78 30.44 390.69
#483 [1, 0, 0, -2685802533025…, 53369999163244…] ≥ 16 ℤ/2ℤ 209.19 368.36 29.55 380.69
#489 [1, 0, 0, -5216065827416…, 45661631270513…] ≥ 16 ℤ/2ℤ 209.85 349.71 27.99 361.96
#484 [1, 0, 0, -3384639411361…, 74293935017700…] ≥ 16 ℤ/2ℤ 211.04 384.50 30.83 395.20
#490 [1, 0, 0, -6821191145727…, 21586195863974…] ≥ 16 ℤ/2ℤ 215.46 357.50 28.64 369.67
#482 [1, -1, 1, -5783251866037…, 16566356737338…] ≥ 16 ℤ/2ℤ 220.68 372.37 29.81 382.99
#485 [1, -1, 1, -7401252242203…, 76971090575512…] ≥ 16 ℤ/2ℤ 224.85 365.07 29.25 376.82