Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 4 and torsion ℤ/10ℤ

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showing 35 of 3920 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#1090 [1, 0, 0, -3913976067656…, 80614222594310…] ≥ 4 ℤ/10ℤ 50.24 234.89 18.30 243.66
#1994 [1, 0, 0, 68482128318557…, 44571609691519…] ≥ 4 ℤ/10ℤ 50.24 239.53 18.64 246.77
#1890 [1, 0, 0, -6063417433499…, 57467764131164…] ≥ 4 ℤ/10ℤ 53.48 255.58 20.79 279.52
#2138 [1, 0, 0, -9701467799711…, 36779369791425…] ≥ 4 ℤ/10ℤ 53.48 239.96 21.13 287.83
#1887 [1, 0, 0, -1273817386430…, 17495594046612…] ≥ 4 ℤ/10ℤ 53.69 238.75 18.89 254.11
#2809 [1, 0, 0, -1133029515024…, 21511951684944…] ≥ 4 ℤ/10ℤ 53.69 246.44 19.24 254.52
#2789 [1, 0, 0, -1865737805865…, 98089840082438…] ≥ 4 ℤ/10ℤ 54.95 250.90 20.47 275.98
#2796 [1, 0, 0, -1867344613751…, 97912423557684…] ≥ 4 ℤ/10ℤ 54.95 263.44 20.81 275.98
#2782 [1, 0, 0, -2652442203117…, -1023237209527…] ≥ 4 ℤ/10ℤ 57.10 269.10 21.13 277.03
#2805 [1, 0, 0, -1129902153452…, 45067905247504…] ≥ 4 ℤ/10ℤ 57.10 264.02 20.78 274.47
#2770 [1, 0, 0, -1580989447764…, 72699340017808…] ≥ 4 ℤ/10ℤ 58.13 265.70 20.90 275.48
#2784 [1, 0, 0, -2494386716254…, 47950428811853…] ≥ 4 ℤ/10ℤ 58.13 264.27 21.24 283.76
#2761 [1, 0, 0, -3427493851730…, 24423632735107…] ≥ 4 ℤ/10ℤ 58.88 259.12 20.77 277.80
#2793 [1, 0, 0, -3499604502363…, 23342281066213…] ≥ 4 ℤ/10ℤ 58.88 268.46 21.11 277.87
#2754 [1, 0, 0, -4599379593792…, 40661252945535…] ≥ 4 ℤ/10ℤ 58.89 283.13 22.34 292.64
#2755 [1, 0, 0, -7503176503673…, 25015745486472…] ≥ 4 ℤ/10ℤ 58.89 282.01 22.69 300.88
#2746 [1, 0, 0, 99872850783002…, 12431638211077…] ≥ 4 ℤ/10ℤ 60.13 282.81 22.25 290.27
#2741 [1, 0, 0, -1640002578767…, -2556178200652…] ≥ 4 ℤ/10ℤ 60.24 293.56 23.52 310.13
#2737 [1, 0, 0, -1151725631485…, 14946100635645…] ≥ 4 ℤ/10ℤ 60.55 283.46 22.45 295.26
#2740 [1, 0, 0, -1819382347612…, 29869921319173…] ≥ 4 ℤ/10ℤ 60.70 276.69 23.19 310.44
#2748 [1, 0, 0, -3167092289957…, 41026348321944…] ≥ 4 ℤ/10ℤ 60.76 271.06 21.28 278.84
#2771 [1, 0, 0, -6235503349706…, 18941910470164…] ≥ 4 ℤ/10ℤ 60.76 272.21 21.63 286.51
#2742 [1, 0, 0, -1200762149057…, 15962988101305…] ≥ 4 ℤ/10ℤ 60.86 269.08 21.28 281.56
#2777 [1, 0, 0, -1919477554878…, 10235820596931…] ≥ 4 ℤ/10ℤ 60.86 264.91 21.63 289.88
#2733 [1, 0, 0, -6491494323870…, 20130985111642…] ≥ 4 ℤ/10ℤ 61.48 292.29 23.72 314.26
#2734 [1, 0, 0, -1811176602147…, 90048838963039…] ≥ 4 ℤ/10ℤ 64.51 293.53 23.22 303.52
#2735 [1, 0, 0, -7564242495742…, 80074876626205…] ≥ 4 ℤ/10ℤ 65.82 281.04 24.03 321.63
#2730 [1, 0, 0, -9548381337509…, 37766382868160…] ≥ 4 ℤ/10ℤ 68.81 319.53 25.38 329.33
#2728 [1, 0, 0, -3337958914752…, 74228313544231…] ≥ 4 ℤ/10ℤ 70.17 312.11 25.74 339.89
#2726 [1, 0, 0, -1787601681452…, 91983130145588…] ≥ 4 ℤ/10ℤ 70.59 329.02 26.44 344.93
#2731 [1, 0, 0, -6810368358186…, 68025069704291…] ≥ 4 ℤ/10ℤ 70.68 323.17 25.77 335.13
#2724 [1, 0, 0, -1457783109501…, 39726412788668…] ≥ 4 ℤ/10ℤ 71.25 326.55 25.89 334.04
#2727 [1, 0, 0, 97503527621627…, 30177837797825…] ≥ 4 ℤ/10ℤ 71.41 321.43 25.46 328.88
#2723 [1, 0, 0, -2021381984904…, 34979269837140…] ≥ 4 ℤ/10ℤ 71.80 320.94 25.85 338.39
#2721 [1, 0, 0, -1404224625110…, 20253635531680…] ≥ 4 ℤ/10ℤ 75.22 336.72 27.82 364.93