Elliptic Curve Rank Leaderboard

Curves with rank lower bound = 28

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showing 86 of 4205 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#3762 [1, -1, 1, -1943711712401…, 32811883327559…] ≥ 28 trivial 242.93 298.62 23.72 310.64
#3861 [1, 1, 1, -4267142609424…, 33987799547261…] ≥ 28 trivial 249.47 306.81 24.45 319.91
#3919 [0, -1, 0, -3318296635770…, 23260808169917…] ≥ 28 trivial 249.93 303.98 24.32 319.15
#3863 [1, 0, 1, -2356390572083…, 47075392633829…] ≥ 28 trivial 250.82 329.45 26.20 338.98
#3763 [0, 1, 0, -8539511541823…, 29814559944351…] ≥ 28 trivial 254.48 304.32 24.15 315.08
#729 [1, 0, 0, -4341658947509…, 11891969904721…] ≥ 28 trivial 254.73 331.43 26.36 340.84
#1393 [1, 0, 0, -1153289144392…, 47712996503581…] ≥ 28 trivial 257.20 316.00 25.25 329.80
#3838 [1, 0, 0, -5705244439710…, 16514759577995…] ≥ 28 trivial 258.08 315.48 25.14 327.69
#3893 [1, 0, 0, -3405324705900…, 24475550135699…] ≥ 28 trivial 258.89 308.05 24.48 319.25
#3862 [1, 0, 1, -3132358014522…, 68802021969921…] ≥ 28 trivial 259.61 315.21 25.05 325.93
#3894 [1, 0, 0, -3740669774748…, 32010370053700…] ≥ 28 trivial 259.67 338.55 26.94 347.42
#3854 [1, -1, 1, -4781157890529…, 48193588635978…] ≥ 28 trivial 261.08 325.78 25.87 334.43
#613 [0, 1, 0, -1107604775133…, 43299169350019…] ≥ 28 trivial 261.42 333.36 26.55 343.49
#726 [1, 0, 0, -4827965089853…, 38701221767869…] ≥ 28 trivial 262.55 351.98 28.09 361.72
#3855 [0, 0, 0, -1365544794022…, 19641088255738…] ≥ 28 trivial 265.51 325.97 25.97 337.24
#4035 [1, 1, 0, -2170454549922…, 12364156592190…] ≥ 28 trivial 266.29 305.74 24.32 317.89
#3818 [1, 0, 0, -4476387259413…, 11274980614518…] ≥ 28 trivial 267.16 344.00 27.45 354.59
#4024 [1, 1, 1, -8605955895520…, 29753911343471…] ≥ 28 trivial 268.83 304.88 24.18 315.10
#3850 [1, 0, 0, -2441378836242…, 15365026440334…] ≥ 28 trivial 269.12 308.43 24.46 318.32
#3851 [1, 0, 0, -3449632259821…, 75232919318974…] ≥ 28 trivial 269.38 316.05 25.10 326.18
#3764 [0, 1, 0, -2887361902143…, 19361010302257…] ≥ 28 trivial 269.57 322.12 25.62 332.60
#689 [1, 0, 0, -2408214175466…, 11826617260736…] ≥ 28 trivial 269.83 337.24 26.82 345.82
#4089 [0, 1, 0, -8926348659862…, 99238472333975…] ≥ 28 trivial 270.17 298.12 23.61 308.31
#3791 [0, 1, 0, -1267511693911…, 17788012567100…] ≥ 28 trivial 271.03 354.15 28.29 364.67
#3790 [1, 0, 0, -6636591581221…, 66225947671334…] ≥ 28 trivial 272.22 323.24 25.77 335.06
#1391 [1, 0, 0, -1594004883499…, 75926464472051…] ≥ 28 trivial 272.89 347.71 27.76 358.40
#1841 [1, 0, 0, -7997445396315…, 27483097130657…] ≥ 28 trivial 273.02 356.97 28.64 370.15
#3839 [1, 0, 0, -4055648439911…, 31913924419645…] ≥ 28 trivial 273.23 322.63 25.68 333.60
#3849 [1, -1, 0, -1506545495063…, 71029152860301…] ≥ 28 trivial 273.33 303.82 24.20 316.78
#400 [1, 0, 0, -2847874483810…, 58635720945607…] ≥ 28 trivial 274.49 354.25 28.39 367.05
#1840 [1, 0, 0, -5147550501498…, 44930302648413…] ≥ 28 trivial 274.77 347.52 27.91 361.92
#3767 [1, 0, 0, -2203362364098…, 12267591661511…] ≥ 28 trivial 274.88 362.74 29.01 373.19
#3853 [1, 1, 0, -4167651837141…, 10801976290132…] ≥ 28 trivial 275.29 316.86 25.17 326.83
#1838 [1, 0, 1, -5921341610039…, 17547737575563…] ≥ 28 trivial 276.02 341.18 27.37 355.43
#1389 [0, 1, 0, -3608975996914…, 26346619884875…] ≥ 28 trivial 276.17 333.84 26.71 347.04
#3576 [0, 1, 0, -1195639619672…, 50914019745958…] ≥ 28 trivial 279.08 332.53 26.52 343.75
#3860 [1, 0, 1, -3864060914177…, 31091450970139…] ≥ 28 trivial 279.82 310.12 24.59 319.73
#3429 [1, -1, 1, -1802557687022…, 30708160212876…] ≥ 28 trivial 279.88 341.96 27.26 351.94
#3572 [1, -1, 0, -2479432928530…, 15004821937163…] ≥ 28 trivial 280.20 318.82 25.46 332.09
#3789 [0, 1, 0, -2399590224585…, 99312098861166…] ≥ 28 trivial 280.38 323.88 25.70 332.00
#3602 [0, 1, 0, -8848731226961…, 38932707329267…] ≥ 28 trivial 280.80 320.81 25.45 329.39
#3766 [1, 0, 1, -2880007595622…, 59475614097603…] ≥ 28 trivial 281.84 324.31 26.01 339.45
#3574 [1, 0, 0, -9805175431075…, 37365348283288…] ≥ 28 trivial 282.35 327.51 26.30 343.13
#3765 [1, 0, 0, -6348442729357…, 60478377644486…] ≥ 28 trivial 282.40 324.11 25.80 334.91
#1839 [1, 0, 0, -6790230636963…, 22189702787203…] ≥ 28 trivial 284.16 345.60 27.57 355.90
#3561 [1, 0, 1, -2750616591267…, 53391440442331…] ≥ 28 trivial 284.47 315.46 25.05 325.50
#3575 [1, -1, 1, -1069079866322…, 43121528314800…] ≥ 28 trivial 286.06 332.33 26.50 343.41
#1390 [0, 0, 0, -1348563007659…, 19195671484860…] ≥ 28 trivial 286.73 353.09 28.25 364.82
#3852 [0, 0, 0, -3476549271377…, 79731413777477…] ≥ 28 trivial 287.10 314.89 25.05 326.22
#3573 [1, 0, 1, -8321870298112…, 29678348939035…] ≥ 28 trivial 287.12 331.73 26.44 342.67
#1837 [1, -1, 1, -8533020035946…, 90842475872750…] ≥ 28 trivial 290.70 339.89 27.08 349.62
#3733 [0, 1, 0, -2030836362952…, 11159522869797…] ≥ 28 trivial 292.41 332.24 26.57 345.31
#3430 [0, 1, 0, -1223494376800…, 52200700509255…] ≥ 28 trivial 292.75 344.70 27.60 357.61
#723 [1, 0, 0, -5665164947414…, 17447225019358…] ≥ 28 trivial 293.12 373.43 29.87 383.05
#3556 [0, 1, 1, -3125229222804…, 21101875395855…] ≥ 28 trivial 293.33 334.97 26.74 346.60
#1386 [0, 1, 0, -1149949192482…, 14747307816557…] ≥ 28 trivial 293.81 367.33 29.40 378.14
#1764 [1, 0, 1, -8454543806792…, 10038097348976…] ≥ 28 trivial 294.11 353.88 28.24 363.52
#3732 [1, -1, 0, -9554242798575…, 36616912467083…] ≥ 28 trivial 296.35 332.32 26.48 343.09
#722 [1, 0, 0, -5152250234687…, 11153142351341…] ≥ 28 trivial 296.81 360.42 28.75 368.83
#395 [1, -1, 1, -1571436138788…, 74572864524469…] ≥ 28 trivial 297.51 375.11 30.05 385.99
#1394 [1, -1, 1, -6078624890026…, 57269382975418…] ≥ 28 trivial 299.16 350.72 28.05 362.42
#423 [1, 0, 0, -2777623740454…, 17457165649209…] ≥ 28 trivial 299.37 390.84 31.36 401.51
#615 [1, 0, 0, -2382061443891…, 28922404172177…] ≥ 28 trivial 299.98 365.92 29.18 373.42
#391 [1, 0, 0, -2533580830669…, 15818917486191…] ≥ 28 trivial 300.43 390.53 31.33 401.27
#1387 [0, 1, 0, -2244768669885…, 41433615071223…] ≥ 28 trivial 304.78 355.17 28.40 366.36
#635 [1, 0, 0, -7362759937775…, 23646078749575…] ≥ 28 trivial 306.30 373.35 29.89 383.71
#531 [1, 0, 0, -1443487482540…, 66629508359708…] ≥ 28 trivial 307.16 358.86 28.79 371.92
#364 [1, 1, 1, -1307500861006…, 18384836769279…] ≥ 28 trivial 307.81 367.20 29.41 378.55
#618 [1, 0, 0, -6970137122541…, 22335442032364…] ≥ 28 trivial 307.97 398.54 32.08 411.18
#403 [1, 0, 0, -4789549597347…, 40388950701005…] ≥ 28 trivial 313.99 375.75 30.22 389.33
#536 [1, 0, 0, -2063039700273…, 11463632399445…] ≥ 28 trivial 316.65 388.58 31.22 400.63
#619 [1, 0, 0, -1382175065636…, 20242130248207…] ≥ 28 trivial 318.98 409.64 32.92 420.19
#633 [1, 0, 0, -4818054992018…, 37879967083194…] ≥ 28 trivial 320.92 393.70 31.55 403.17
#545 [1, -1, 1, -2626518053858…, 52202360216817…] ≥ 28 trivial 322.54 382.79 30.72 394.45
#11 [1, -1, 1, -2006776241557…, 34481611795030…] ≥ 28 trivial 325.90 381.20 30.62 393.63
#617 [0, 0, 0, -1243709484034…, 54848633773028…] ≥ 28 trivial 329.65 374.94 30.02 385.34
#616 [0, 1, 0, -3654616687548…, 27183952546218…] ≥ 28 trivial 334.16 418.69 33.70 429.99
#581 [1, 0, 0, -3119558663717…, 21249667847085…] ≥ 28 trivial 337.72 402.70 32.44 415.68
#620 [1, 0, 0, -4159381325735…, 10259184475722…] ≥ 28 trivial 342.02 411.63 33.13 423.45
#580 [1, 0, 0, -7840182382694…, 88374410056343…] ≥ 28 trivial 342.08 408.62 32.81 418.53
#534 [1, 0, 0, -4490028373400…, 11573405293947…] ≥ 28 trivial 343.19 409.50 33.06 423.68
#636 [0, 1, 0, -8451453402582…, 28863778245289…] ≥ 28 trivial 344.99 415.44 33.39 425.57
#544 [1, 0, 0, -1232908441991…, 16968416538854…] ≥ 28 trivial 345.53 395.23 31.73 406.02
#638 [1, 0, 0, -2160114071712…, 45527987555658…] ≥ 28 trivial 348.69 426.90 34.29 435.63
#535 [1, 0, 0, -9058527942382…, 10558319813569…] ≥ 28 trivial 351.92 420.84 33.90 432.70
#634 [1, 0, 0, -3570335928218…, 25939804893999…] ≥ 28 trivial 368.21 430.07 34.75 443.71