Elliptic Curve Rank Leaderboard

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Maksym Voznyy

Member since .

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https://github.com/MagmaHacks

Curves (102)

curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#5410 [0, 0, 1, 0, 33372439031705…] ≥ 15 trivial 158.78 169.66 12.82 177.11
#5411 [0, 0, 1, 0, -9010558538560…] ≥ 15 trivial 158.78 176.25 13.37 183.71
#4886 [0, 0, 1, 0, -1197774028283…] ≥ 14 trivial 142.92 153.79 11.50 161.25
#639 [0, 0, 1, 0, 90519072625313…] ≥ 14 trivial 148.06 157.84 11.83 165.29
#5943 [1, 0, 0, -1715297230847…, 27959449348040…] ≥ 12 ℤ/3ℤ 98.48 216.83 16.85 227.42
#5360 [1, 0, 0, -4136658015848…, 32386556474599…] ≥ 12 ℤ/3ℤ 101.81 220.92 17.44 236.92
#6412 [1, -1, 1, -4545650687747…, 37304952901293…] ≥ 12 ℤ/3ℤ 103.76 220.65 17.44 237.20
#5953 [1, -1, 1, -7664299347315…, 75968485632392…] ≥ 12 ℤ/3ℤ 99.88 229.31 17.85 238.77
#4644 [1, 0, 1, -3494080778151…, 79544281860769…] ≥ 12 ℤ/3ℤ 104.48 229.15 18.03 243.32
#5091 [1, 0, 0, -4552856386677…, 11873208530228…] ≥ 12 ℤ/3ℤ 106.15 231.87 18.17 244.13
#6281 [0, 1, 0, -2066419270497…, 11429726289900…] ≥ 12 ℤ/3ℤ 101.80 233.85 18.45 248.65
#5088 [1, -1, 1, -3351996464283…, 23738998693277…] ≥ 12 ℤ/3ℤ 110.74 238.05 18.68 250.12
#4646 [1, 0, 0, -3702179552348…, 27410248678662…] ≥ 12 ℤ/3ℤ 106.29 235.46 18.60 250.40
#6274 [1, 0, 0, -5298577130472…, 47855827395834…] ≥ 12 ℤ/3ℤ 106.11 240.79 18.85 251.52
#5863 [1, 0, 0, -9478435861579…, 11227558448373…] ≥ 12 ℤ/3ℤ 107.63 238.60 18.84 253.22
#4648 [1, 0, 0, -3138888585813…, 67666499744368…] ≥ 12 ℤ/3ℤ 110.62 242.00 19.13 256.82
#5954 [1, -1, 1, -3524981191860…, 25474640596676…] ≥ 12 ℤ/3ℤ 105.87 247.54 19.68 264.07
#5866 [1, 0, 1, -5637986040127…, 51524093842015…] ≥ 12 ℤ/3ℤ 109.98 248.91 19.80 265.48
#6012 [0, 1, 0, -8034446327973…, 87680671039308…] ≥ 12 ℤ/3ℤ 104.76 251.60 19.94 266.54
#5016 [1, 0, 0, -2101244022971…, 37061905277635…] ≥ 12 ℤ/3ℤ 110.75 254.59 20.18 269.43
#5379 [0, 0, 1, 0, 39846666468086…] ≥ 11 trivial 77.10 82.52 5.56 89.97
#6437 [1, 0, 1, -4230786440675…, 33495891417640…] ≥ 11 ℤ/3ℤ 87.86 192.08 15.10 209.36
#6407 [1, -1, 1, -5905167171046…, 55269776442491…] ≥ 11 ℤ/3ℤ 88.70 196.29 15.29 210.36
#6406 [1, 0, 1, -1035675910631…, 40796897975515…] ≥ 11 ℤ/3ℤ 87.62 207.02 16.09 218.96
#6405 [1, 0, 0, -1164519483789…, 48564311717478…] ≥ 11 ℤ/3ℤ 89.72 207.03 16.10 219.31
#3920 [1, -1, 1, -7415316186790…, 74948565838956…] ≥ 11 ℤ/3ℤ 96.15 214.74 16.66 224.86
#6436 [1, 0, 1, -8087240104664…, 90721362665347…] ≥ 11 ℤ/3ℤ 85.09 214.67 16.67 225.17
#6404 [1, -1, 1, -2487500000053…, 47757331066252…] ≥ 11 ℤ/3ℤ 89.70 212.60 16.74 228.49
#6435 [1, 0, 1, -3480625265094…, 79037604039252…] ≥ 11 ℤ/3ℤ 88.82 208.36 16.68 229.50
#3921 [1, 0, 0, -5809364123993…, 52989190755605…] ≥ 11 ℤ/3ℤ 106.25 227.08 17.72 237.94
#3922 [1, 0, 1, -3144973862166…, 37658874194248…] ≥ 11 ℤ/3ℤ 113.49 235.55 18.32 243.01
#3927 [1, 0, 0, -1686722051765…, 84297295574391…] ≥ 11 ℤ/3ℤ 109.16 232.91 18.39 248.05
#3928 [1, 0, 0, -4316833893508…, 36932800288674…] ≥ 11 ℤ/3ℤ 110.69 241.48 18.87 251.00
#4590 [1, -1, 1, -2325273464140…, 43139664192317…] ≥ 10 ℤ/3ℤ 73.79 158.49 12.16 173.02
#6399 [1, 0, 0, -1597013756923…, 76318888087308…] ≥ 10 ℤ/3ℤ 69.97 167.99 12.79 178.80
#4592 [1, 0, 1, -2813035593801…, 18139394839963…] ≥ 10 ℤ/3ℤ 81.42 166.95 12.82 180.50
#4639 [1, 0, 0, -4633074603274…, 38410244066428…] ≥ 10 ℤ/3ℤ 74.80 167.94 12.93 182.00
#4605 [1, 0, 0, -7349376973374…, 76664274653378…] ≥ 10 ℤ/3ℤ 74.50 168.51 13.01 183.38
#632 [0, 1, 0, 53659646002842…, 14610806763317…] ≥ 10 ℤ/4ℤ 69.33 177.32 13.46 184.67
#6394 [1, 0, 0, -1645989034673…, 25705583868845…] ≥ 10 ℤ/3ℤ 71.58 169.72 13.18 185.80
#4604 [1, 0, 0, -1906379024569…, 32020715664069…] ≥ 10 ℤ/3ℤ 76.15 171.94 13.27 186.24
#4638 [1, 0, 0, -2119065065984…, 37759167951101…] ≥ 10 ℤ/3ℤ 69.47 174.63 13.39 186.57
#4602 [1, 0, 0, -1955025738535…, 10520866840854…] ≥ 10 ℤ/3ℤ 76.98 176.71 13.78 193.23
#4601 [1, 0, 0, -2260502040811…, 13072311672701…] ≥ 10 ℤ/3ℤ 79.26 179.63 13.90 193.66
#4603 [1, 0, 0, -2870771060001…, 18720446597942…] ≥ 10 ℤ/3ℤ 77.05 178.03 13.88 194.38
#4591 [1, 0, 1, -1078873095503…, 13624668746810…] ≥ 10 ℤ/3ℤ 82.83 184.78 14.31 198.35
#3923 [1, 0, 0, -1153585915174…, 15032819092497…] ≥ 10 ℤ/3ℤ 79.56 186.04 14.36 198.55
#4637 [1, 0, 0, -1405739329657…, 20284293616725…] ≥ 10 ℤ/3ℤ 70.46 183.22 14.29 199.14
#3924 [1, 0, 0, -2357071242718…, 43747288136281…] ≥ 10 ℤ/3ℤ 89.17 188.94 14.57 200.70
#4593 [1, 0, 1, -6753808082439…, 67488531793744…] ≥ 10 ℤ/3ℤ 80.51 197.11 15.34 210.76
#3859 [1, 0, 0, -7114057665400…, 76205206958176…] ≥ 10 ℤ/3ℤ 83.53 201.04 15.51 211.00
#3925 [1, 0, 0, -3028438793449…, 65349653551596…] ≥ 10 ℤ/3ℤ 88.39 204.53 15.83 215.30
#3865 [1, 0, 0, -1515093861677…, 66596247814828…] ≥ 10 ℤ/3ℤ 91.75 210.67 16.30 220.09
#5361 [0, 0, 0, 0, 47700681504129] ≥ 9 trivial 65.48 69.06 4.43 76.52
#3847 [1, 0, 0, -1680783198275…, 26824639618179…] ≥ 9 ℤ/3ℤ 62.02 133.19 9.91 144.44
#3858 [1, 0, 0, -4996847017008…, 14298452464795…] ≥ 9 ℤ/3ℤ 64.26 137.99 10.25 147.79
#3848 [1, 0, 1, -6029378056131…, 18052229057559…] ≥ 9 ℤ/3ℤ 63.95 135.16 10.15 148.25
#4587 [1, 0, 0, -1708233235446…, 27174772164467…] ≥ 9 ℤ/3ℤ 60.72 139.62 10.81 158.28
#4589 [1, -1, 1, -3546262049821…, 25704048895644…] ≥ 9 ℤ/3ℤ 58.71 148.67 11.57 167.38
#4588 [1, 0, 0, -8398844430968…, 29641371773277…] ≥ 9 ℤ/3ℤ 61.33 176.35 13.64 190.69
#5602 [0, 0, 0, 0, -1638128631922…] ≥ 9 trivial 91.68 186.66 14.23 194.11
#3846 [1, 0, 0, -3887029668612…, 30892653149264…] ≥ 8 ℤ/3ℤ 47.09 102.61 7.31 112.49
#5608 [0, 0, 0, 0, -6284000718686…] ≥ 8 trivial 62.88 120.27 8.70 127.72
#5605 [0, 0, 0, 0, -5129386731648…] ≥ 8 trivial 60.59 124.47 9.05 131.92
#5765 [0, 0, 1, 0, -5529244562873…] ≥ 8 trivial 59.56 124.62 9.06 132.07
#5763 [0, 0, 0, 0, -9615461991885…] ≥ 8 trivial 62.42 130.33 9.54 137.78
#5764 [0, 0, 0, 0, -4076999032604…] ≥ 8 trivial 64.96 133.22 9.78 140.67
#5762 [0, 0, 0, 0, -6346996267199…] ≥ 8 trivial 69.80 134.10 9.85 141.56
#5755 [0, 0, 0, 0, -1332605927344…] ≥ 8 trivial 67.35 140.19 10.36 147.65
#5761 [0, 0, 0, 0, -1389728457409…] ≥ 8 trivial 71.50 140.28 10.37 147.73
#5760 [0, 0, 1, 0, -6652496178696…] ≥ 8 trivial 74.45 143.41 10.63 150.86
#5759 [0, 0, 0, 0, -7822801904500…] ≥ 8 trivial 70.22 143.73 10.66 151.19
#5758 [0, 0, 0, 0, -1133898370046…] ≥ 8 trivial 70.59 144.47 10.72 151.93
#5756 [0, 0, 0, 0, -3335489912086…] ≥ 8 trivial 71.67 146.63 10.90 154.09
#5757 [0, 0, 0, 0, -4407625524343…] ≥ 8 trivial 71.95 147.19 10.94 154.64
#5718 [0, 0, 1, 0, -3369787948344…] ≥ 8 trivial 73.98 151.26 11.28 158.71
#5754 [0, 0, 0, 0, -1461171744760…] ≥ 8 trivial 74.35 154.19 11.53 161.65
#5716 [0, 0, 0, 0, -2404251637945…] ≥ 8 trivial 72.05 155.19 11.61 162.64
#5618 [0, 0, 1, 0, -4577579800401…] ≥ 8 trivial 80.98 156.48 11.72 163.93
#5715 [0, 0, 0, 0, -9822111783042…] ≥ 8 trivial 77.86 158.00 11.85 165.46
#5617 [0, 0, 0, 0, -2820599163381…] ≥ 8 trivial 78.41 160.11 12.02 167.57
#5619 [0, 0, 0, 0, -2856294955035…] ≥ 8 trivial 80.72 164.74 12.41 172.20
#5625 [0, 0, 0, 0, -4651849678403…] ≥ 8 trivial 79.83 165.72 12.49 173.17
#5616 [0, 0, 0, 0, -3628146108750…] ≥ 8 trivial 85.57 174.43 13.21 181.89
#5613 [0, 0, 0, 0, -6171268296481…] ≥ 8 trivial 84.71 175.49 13.30 182.95
#5612 [0, 0, 0, 0, -8388560612127…] ≥ 8 trivial 93.31 189.92 14.51 197.38
#5774 [0, 0, 0, 0, -7409361153114…] ≥ 7 trivial 49.23 92.97 6.43 100.42
#5771 [0, 0, 0, 0, -4007480082547…] ≥ 7 trivial 50.92 96.34 6.71 103.80
#5862 [0, 0, 1, 0, -4220835349511…] ≥ 7 trivial 45.48 96.45 6.72 103.90
#5782 [0, 0, 1, 0, -1814081769856…] ≥ 7 trivial 52.43 99.36 6.96 106.82
#5772 [0, 0, 0, 0, -4496532561892…] ≥ 7 trivial 53.34 101.18 7.11 108.63
#5770 [0, 0, 0, 0, -1005078380167…] ≥ 7 trivial 48.83 107.39 7.63 114.85
#5778 [0, 0, 0, 0, -1017853473568…] ≥ 7 trivial 50.96 107.42 7.63 114.87
#5861 [0, 0, 0, 0, -1752940416245…] ≥ 7 trivial 52.60 108.50 7.72 115.96
#5783 [0, 0, 0, 0, -2344937790880…] ≥ 7 trivial 52.90 109.09 7.77 116.54
#5781 [0, 0, 0, 0, -4070026862257…] ≥ 7 trivial 53.45 110.19 7.86 117.64
#5775 [0, 0, 1, 0, -1142150965764…] ≥ 7 trivial 54.48 112.25 8.03 119.71
#5779 [0, 0, 0, 0, -2655197466646…] ≥ 7 trivial 55.32 113.94 8.17 121.40
#5773 [0, 0, 0, 0, -1643774670734…] ≥ 7 trivial 57.15 117.59 8.48 125.04
#5777 [0, 0, 0, 0, -1719035742262…] ≥ 7 trivial 57.19 117.68 8.49 125.13
#5780 [0, 0, 0, 0, -3232456909538…] ≥ 7 trivial 56.44 118.94 8.59 126.39
#5776 [0, 0, 0, 0, -1483728811403…] ≥ 7 trivial 58.25 121.99 8.84 129.44

Contributions to other curves (2)

curve a-invariants contribution rank when
#6265 [1, -1, 0, -294885328460068384, 61361567889172926730902388] recorded the primes of bad reduction 17
#6264 [1, -1, 0, -253909844844956916, 49143623687742991412814956] recorded the primes of bad reduction 17