Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 1 and torsion ℤ/10ℤ

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showing 84 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
#1091 [1, 0, 0, -4281263352573…, 10782166365469…] ≥ 3 ℤ/10ℤ 28.70 129.81 10.78 161.04
#1184 [1, 0, 0, -2675683373583…, 16848539392435…] ≥ 3 ℤ/10ℤ 28.70 137.11 10.43 152.72
#1486 [1, 0, 0, -6620575543958…, 65559378060152…] ≥ 3 ℤ/10ℤ 28.77 139.74 10.66 155.44
#1487 [1, 0, 0, -1059253532976…, 41961209254673…] ≥ 3 ℤ/10ℤ 28.77 132.35 11.00 163.76
#1488 [1, 0, 0, -1587515067771…, 24822054816914…] ≥ 3 ℤ/10ℤ 28.88 133.56 9.92 144.29
#1489 [1, 0, 0, -2553800099304…, 15708266952291…] ≥ 3 ℤ/10ℤ 28.88 131.18 10.26 152.58
#1482 [1, 0, 0, -1059606309076…, 20246425576229…] ≥ 3 ℤ/10ℤ 30.73 135.86 10.02 143.88
#1483 [1, 0, 0, -1931905733260…, 10333050112520…] ≥ 3 ℤ/10ℤ 30.73 136.59 10.37 151.74
#1484 [1, 0, 0, -2868129375368…, 56353767705358…] ≥ 3 ℤ/10ℤ 31.04 149.99 11.26 159.84
#1485 [1, 0, 0, -4529067893158…, 37098830584771…] ≥ 3 ℤ/10ℤ 31.04 148.50 11.60 168.12
#2116 [1, 0, 0, -2558452512972…, 16560261648275…] ≥ 3 ℤ/10ℤ 31.92 142.88 10.66 152.69
#2119 [1, 0, 0, -3338488361636…, 23118493712440…] ≥ 3 ℤ/10ℤ 32.20 150.49 11.22 157.96
#2115 [1, 0, 0, -9267795625566…, 29941809054114…] ≥ 3 ℤ/10ℤ 32.32 140.66 10.45 149.54
#2117 [1, 0, 0, 14915200199076…, 16005999857796…] ≥ 3 ℤ/10ℤ 32.32 145.34 10.79 152.62
#2118 [1, 0, 0, -6666890136604…, 66257197320818…] ≥ 3 ℤ/10ℤ 33.63 135.89 11.43 169.28
#2120 [1, 0, 0, -1139407008286…, 42920697550927…] ≥ 3 ℤ/10ℤ 33.84 149.53 11.15 157.07
#852 [1, 0, 0, -331734280, 2334220942400] ≥ 2 ℤ/10ℤ 14.20 58.12 3.70 70.48
#853 [1, 0, 0, -5313234280, 14906828864240…] ≥ 2 ℤ/10ℤ 14.20 54.08 4.04 78.79
#1401 [1, 0, 0, -617755007870, 18660750760225…] ≥ 2 ℤ/10ℤ 14.75 79.78 5.54 93.06
#1402 [1, 0, 0, -425751971710, 30473411154808…] ≥ 2 ℤ/10ℤ 14.75 86.45 5.89 94.04
#1396 [1, 0, 0, -5910810998008…, 55312525340280…] ≥ 2 ℤ/10ℤ 16.68 95.47 7.10 113.65
#1397 [1, 0, 0, -9457326439565…, 35399789735083…] ≥ 2 ℤ/10ℤ 16.68 85.61 7.45 121.97
#854 [1, 0, 0, -54144642125, -2679239758059…] ≥ 2 ℤ/10ℤ 16.76 77.94 5.19 85.76
#1398 [1, 0, 0, 175871926195, -1945467010883…] ≥ 2 ℤ/10ℤ 16.76 82.22 5.54 89.29
#1399 [1, 0, 0, -1579836029908…, 23677626491594…] ≥ 2 ℤ/10ℤ 16.95 92.12 6.46 102.79
#1400 [1, 0, 0, -2513423622037…, 15337212507900…] ≥ 2 ℤ/10ℤ 16.95 89.79 6.81 111.09
#3357 [1, 0, 0, -100491064135, 11888352025002…] ≥ 2 ℤ/10ℤ 17.35 77.34 5.22 87.61
#3375 [1, 0, 0, -250132524775, -3179243926019…] ≥ 2 ℤ/10ℤ 17.35 82.32 5.56 90.35
#3377 [1, 0, 0, -7165479944500, 73827133352123…] ≥ 2 ℤ/10ℤ 17.48 72.15 5.78 100.41
#3391 [1, 0, 0, -8918661914357…, 32418853760022…] ≥ 2 ℤ/10ℤ 17.56 75.43 6.34 107.98
#3390 [1, 0, 0, -1838443000920…, 30340542773450…] ≥ 2 ℤ/10ℤ 18.93 74.98 6.01 103.24
#3358 [1, 0, 0, -1111313922400, 45091871462929…] ≥ 2 ℤ/10ℤ 18.94 76.67 5.53 94.82
#3389 [1, 0, 0, -1141810422400, 42486171821959…] ≥ 2 ℤ/10ℤ 18.94 85.74 5.88 94.90
#3376 [1, 0, 0, -1684883951828, 84174850120471…] ≥ 2 ℤ/10ℤ 19.82 79.36 5.68 96.07
#1057 [1, 0, 0, -27275, 2000625] ≥ 1 ℤ/10ℤ 8.74 33.71 1.53 42.54
#1058 [1, 0, 0, -454955, 118072977] ≥ 1 ℤ/10ℤ 8.74 33.34 1.88 50.70
#1732 [1, 0, 0, -11842820, 15197648400] ≥ 1 ℤ/10ℤ 10.29 50.23 2.96 60.48
#2584 [1, 0, 0, -187842820, 990906448400] ≥ 1 ℤ/10ℤ 10.29 48.33 3.30 68.77
#1729 [1, 0, 0, -1561580, 774335376] ≥ 1 ℤ/10ℤ 10.40 44.18 2.45 54.46
#2573 [1, 0, 0, -25200620, 48690669456] ≥ 1 ℤ/10ℤ 10.40 42.26 2.80 62.74
#2856 [1, 0, 0, -30845990, 66567728100] ≥ 1 ℤ/10ℤ 11.03 51.94 3.14 63.37
#2864 [1, 0, 0, -494845990, 4236906928100] ≥ 1 ℤ/10ℤ 11.03 48.84 3.49 71.67
#3095 [1, 0, 0, -408187825, -3104856293143] ≥ 1 ℤ/10ℤ 11.26 60.50 3.82 71.10
#3099 [1, 0, 0, -920187825, 6246414106857] ≥ 1 ℤ/10ℤ 11.26 65.67 4.17 73.53
#1733 [1, 0, 0, -12142535, 16280729097] ≥ 1 ℤ/10ℤ 11.46 45.52 2.77 60.55
#1734 [1, 0, 0, -13736615, 11732181225] ≥ 1 ℤ/10ℤ 11.46 53.02 3.12 60.92
#1730 [1, 0, 0, -4823545, 3990649337] ≥ 1 ℤ/10ℤ 11.86 47.16 2.71 57.78
#1731 [1, 0, 0, 676455, 12569549337] ≥ 1 ℤ/10ℤ 11.86 52.58 3.06 60.03
#2860 [1, 0, 0, -64482970, 199297549412] ≥ 1 ℤ/10ℤ 12.79 46.51 3.07 65.56