Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 4 and torsion ℤ/8ℤ

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showing 36 of 3920 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#1904 [1, 1, 1, 69056025716937…, -3349218851893…] ≥ 6 ℤ/8ℤ 60.46 251.75 19.67 259.18
#1903 [1, 0, 0, -3165956472564…, 68556991377202…] ≥ 6 ℤ/8ℤ 63.48 268.72 21.41 284.47
#1119 [1, 0, 0, -7568281857154…, 25340184713335…] ≥ 6 ℤ/8ℤ 70.51 284.70 22.76 300.90
#1897 [1, 1, 1, -1816104564575…, 28237703990352…] ≥ 6 ℤ/8ℤ 70.63 286.88 22.66 296.62
#1093 [1, 0, 0, -3042411698115…, 20659864464489…] ≥ 5 ℤ/8ℤ 42.83 183.33 14.09 194.58
#1905 [1, 0, 0, -4805101014203…, 24445672521664…] ≥ 5 ℤ/8ℤ 46.06 188.02 14.37 195.92
#1906 [1, 0, 0, -5845759088452…, 16867868851606…] ≥ 5 ℤ/8ℤ 46.58 206.53 16.00 217.24
#2848 [1, 0, 0, -1764377661167…, 28525101373243…] ≥ 5 ℤ/8ℤ 47.10 196.01 15.45 213.64
#2843 [1, 0, 0, -1430848035864…, 20832355619626…] ≥ 5 ℤ/8ℤ 47.29 199.52 16.33 226.83
#3558 [0, 1, 0, -7604174052792…, 25510854768692…] ≥ 5 ℤ/8ℤ 47.41 189.77 14.76 204.21
#2859 [1, 0, 0, -3561865423528…, 81454964632284…] ≥ 5 ℤ/8ℤ 47.60 189.76 14.66 201.93
#3555 [1, 0, 0, -7574665229116…, 80315560772780…] ≥ 5 ℤ/8ℤ 48.24 197.37 15.36 211.11
#2855 [1, 0, 0, -6846036141864…, 23774371692488…] ≥ 5 ℤ/8ℤ 48.27 194.77 14.97 204.07
#2830 [1, 0, 0, -1300076965855…, 61515175157366…] ≥ 5 ℤ/8ℤ 49.07 224.18 17.42 233.60
#2844 [1, 0, 0, -1974386092932…, 40967354642616…] ≥ 5 ℤ/8ℤ 49.77 202.24 15.54 209.76
#3559 [1, 0, 0, 58683080088749…, 22370205554074…] ≥ 5 ℤ/8ℤ 50.22 196.96 15.10 203.95
#3599 [1, 0, 0, -1228100006739…, 42047486310654…] ≥ 5 ℤ/8ℤ 52.31 206.79 15.92 214.42
#2829 [0, 1, 0, -1184963457155…, 15613761915399…] ≥ 5 ℤ/8ℤ 53.95 214.30 16.70 226.26
#2853 [0, -1, 0, -9585953417354…, 36124436799102…] ≥ 5 ℤ/8ℤ 54.11 192.63 18.66 260.17
#2821 [1, 0, 0, -1543132514199…, 28075861328873…] ≥ 5 ℤ/8ℤ 54.67 218.80 16.95 227.43
#1641 [0, 1, 0, -9554917251286…, 11690998742798…] ≥ 4 ℤ/8ℤ 29.64 118.60 8.66 128.96
#3501 [0, 1, 0, 31878668493415…, 60861931528788…] ≥ 4 ℤ/8ℤ 32.75 143.24 10.62 150.69
#1634 [1, 0, 0, 79266660223230…, -4455325195026…] ≥ 4 ℤ/8ℤ 32.86 134.71 9.92 142.16
#1635 [0, -1, 0, -2850385850045…, 58267281793422…] ≥ 4 ℤ/8ℤ 32.92 133.99 10.00 146.00
#1637 [0, 1, 0, -1813850220761…, 31222620731368…] ≥ 4 ℤ/8ℤ 33.71 134.92 10.00 144.75
#1638 [1, 0, 0, -9500954634454…, -2437000575224…] ≥ 4 ℤ/8ℤ 33.78 141.53 10.50 149.62
#1639 [1, 0, 0, 41842969373341…, -8896829519920…] ≥ 4 ℤ/8ℤ 33.85 148.72 11.08 156.05
#1640 [1, 0, 0, -3009239193932…, 22502924037598…] ≥ 4 ℤ/8ℤ 33.97 130.43 9.60 139.48
#824 [0, 1, 0, -2581070092659…, 15826335543370…] ≥ 4 ℤ/8ℤ 33.98 141.07 10.58 152.61
#3496 [0, 1, 0, -4461231976639…, -6607133009379…] ≥ 4 ℤ/8ℤ 34.05 139.49 10.32 147.35
#3497 [1, 0, 0, -2341217931897…, 43551937130598…] ≥ 4 ℤ/8ℤ 34.21 131.89 9.90 145.41
#1633 [1, 0, 0, -4248358377856…, 99784651087032…] ≥ 4 ℤ/8ℤ 35.02 134.89 9.93 142.46
#1636 [1, 0, 0, -6953750170048…, 70514107295864…] ≥ 4 ℤ/8ℤ 35.28 141.84 10.74 155.59
#3500 [1, 1, 1, -1682284032443…, 99353826862693…] ≥ 4 ℤ/8ℤ 35.30 142.96 10.63 151.67
#3502 [1, 0, 0, -8052297267075…, 87925698099943…] ≥ 4 ℤ/8ℤ 35.56 141.00 10.73 156.03
#3515 [1, 0, 0, -3767367091724…, 28145244321397…] ≥ 4 ℤ/8ℤ 36.70 139.90 11.38 167.56