Elliptic Curve Rank Leaderboard

Curves with rank lower bound = 9

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showing 141 of 4205 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#48 [1, -1, 0, -135004, 97151644] ≥ 9 trivial 38.01 42.81 2.25 50.31
#132 [1, -1, 0, -613069, 98885089] ≥ 9 trivial 38.31 43.80 2.35 51.59
#144 [0, 0, 0, -1996617, 1025754145] ≥ 9 trivial 38.57 45.45 2.54 55.13
#133 [0, 0, 1, -3835819, 2889890730] ≥ 9 trivial 38.68 42.89 2.51 57.09
#134 [1, 0, 1, -1493028, 701820182] ≥ 9 trivial 38.82 39.51 2.26 54.26
#135 [1, 0, 1, -1076185, 496031340] ≥ 9 trivial 38.89 44.73 2.45 53.57
#771 [0, 0, 0, -3368092, 2377730260] ≥ 9 trivial 39.06 42.53 2.48 56.70
#59 [0, 0, 1, -167419, 30261330] ≥ 9 trivial 39.10 39.10 1.98 47.97
#772 [0, 0, 0, -2905252, 1828929700] ≥ 9 trivial 39.19 46.27 2.62 56.26
#773 [0, 0, 1, -970459, 361564062] ≥ 9 trivial 39.20 42.15 2.30 52.97
#79 [0, 0, 1, -514507, 140806716] ≥ 9 trivial 39.56 39.56 2.11 51.07
#80 [0, 0, 1, -402157, 96291336] ≥ 9 trivial 39.60 39.60 2.09 50.33
#4199 [1, -1, 0, -429844, 105111484] ≥ 9 trivial 39.61 40.31 2.13 50.53
#81 [0, 0, 1, -826609, 289956150] ≥ 9 trivial 39.69 39.69 2.18 52.49
#150 [1, -1, 0, -1743349, 886895689] ≥ 9 trivial 39.75 40.44 2.31 54.73
#589 [1, -1, 1, -176907, 16703700] ≥ 9 trivial 40.00 40.00 2.03 47.86
#151 [0, 0, 0, -5347108, 4740882532] ≥ 9 trivial 40.69 45.76 2.67 58.09
#152 [1, -1, 0, -1495909, 697025989] ≥ 9 trivial 40.89 42.97 2.39 54.27
#153 [1, -1, 0, -1240549, 521297989] ≥ 9 trivial 40.96 43.04 2.37 53.71
#154 [0, 0, 0, -3926559, 3073474946] ≥ 9 trivial 41.11 46.78 2.68 57.22
#155 [1, -1, 0, -1188709, 494972209] ≥ 9 trivial 41.33 42.03 2.32 53.58
#156 [1, -1, 0, -759880, 142095100] ≥ 9 trivial 42.11 44.41 2.40 52.24
#1383 [0, -1, 0, -50722837785, 43932848419775…] ≥ 9 ℤ/2ℤ 43.24 71.72 4.90 85.56
#2029 [0, -1, 0, -38802409025, 65116761573459…] ≥ 9 ℤ/2ℤ 43.24 78.66 5.24 86.35
#565 [0, 0, 0, -374961132, 2743046554356] ≥ 9 trivial 44.17 60.08 3.80 70.84
#4057 [1, 1, 0, -4468681022, 10898822206752…] ≥ 9 ℤ/2ℤ 44.42 68.53 4.46 78.27
#3444 [0, 1, 0, -9909839449, 37947004061015…] ≥ 9 ℤ/2ℤ 44.62 66.51 4.48 80.66
#3506 [0, 1, 0, -7918379009, 53645806197161…] ≥ 9 ℤ/2ℤ 44.62 73.61 4.82 81.36
#3446 [0, 1, 0, -49344519305, 30025515544881…] ≥ 9 ℤ/2ℤ 45.27 77.32 5.15 85.48
#3507 [0, 1, 0, 130197089055, 19824343466561…] ≥ 9 ℤ/2ℤ 45.27 81.73 5.50 88.57
#479 [1, -1, 1, -197123177, 1056496302505] ≥ 9 trivial 45.33 57.35 3.60 68.91
#366 [1, -1, 1, -19968242, 24608110065] ≥ 9 trivial 45.43 53.87 3.20 62.04
#3450 [0, -1, 0, -16280580185, 79613138950364…] ≥ 9 ℤ/2ℤ 45.47 69.94 4.68 82.15
#3508 [0, -1, 0, -25149767425, -1671244290710…] ≥ 9 ℤ/2ℤ 45.47 75.99 5.02 83.46
#3455 [0, 1, 0, -7054975769, 22437050378871…] ≥ 9 ℤ/2ℤ 45.54 68.76 4.52 79.64
#3510 [0, 1, 0, -14648601729, -3439622813859…] ≥ 9 ℤ/2ℤ 45.54 74.09 4.87 81.84
#1246 [0, -1, 0, -234752993400, -3775233935487…] ≥ 9 ℤ/2ℤ 45.73 81.34 5.50 90.16
#3078 [0, -1, 0, -63259914160, 55434894023769…] ≥ 9 ℤ/2ℤ 45.73 77.06 5.16 86.23
#3467 [0, 1, 0, -65346333705, 46131693182826…] ≥ 9 ℤ/2ℤ 45.82 78.14 5.22 86.32
#300 [1, 0, 0, -550746640, 4883372708096] ≥ 9 trivial 45.91 61.23 3.89 71.99
#3470 [0, 0, 0, -64182095775, 40345869847612…] ≥ 9 ℤ/2ℤ 46.14 78.28 5.23 86.27
#392 [1, 1, 1, -936464551, 11031352038749] ≥ 9 trivial 46.20 57.92 3.84 73.59
#501 [0, 1, 0, -113180608, 437534000388] ≥ 9 trivial 46.22 57.57 3.55 67.25
#547 [0, 0, 0, -52953057, 145874677545] ≥ 9 trivial 46.36 54.09 3.30 64.97
#573 [1, 0, 0, -3749297445, 77479439249025] ≥ 9 trivial 46.67 68.83 4.46 77.75
#640 [0, 0, 0, -620529987, 5709245168770] ≥ 9 trivial 46.88 62.36 3.96 72.35
#1371 [0, -1, 0, -13529151260, 23337961887507…] ≥ 9 ℤ/2ℤ 47.26 73.98 4.86 81.60
#2027 [0, -1, 0, 3090014805, 27966726311676] ≥ 9 ℤ/2ℤ 47.26 69.88 4.51 77.17
#563 [0, 0, 0, -22560191100, 13034843109000…] ≥ 9 trivial 47.41 68.94 4.68 83.13
#353 [1, 1, 0, -50591622, 140974764984] ≥ 9 trivial 47.44 54.06 3.30 64.87
#497 [1, 1, 1, -13901959588, 61375239232618…] ≥ 9 trivial 47.72 71.30 4.72 81.68
#360 [1, 0, 0, -238158975, 1544082864921] ≥ 9 trivial 47.95 60.37 3.77 69.65
#569 [1, 0, 1, -429654351, 3202490757598] ≥ 9 trivial 48.01 61.73 3.89 71.25
#1372 [0, 1, 0, -13588460785, 68398329492399] ≥ 9 ℤ/2ℤ 48.04 74.14 4.87 81.61
#3071 [0, 1, 0, 53972314975, 54544496713375…] ≥ 9 ℤ/2ℤ 48.04 78.31 5.21 85.75
#473 [1, -1, 1, -2444705780, 53729427292247] ≥ 9 trivial 48.05 67.91 4.38 76.75
#529 [0, 1, 0, -1465825433, 25826562932263] ≥ 9 trivial 48.34 66.63 4.27 75.29
#1364 [0, -1, 0, -13744251860, 40364561143107…] ≥ 9 ℤ/2ℤ 48.46 73.64 4.84 81.65
#3070 [0, -1, 0, 39921087400, 27839180689691…] ≥ 9 ℤ/2ℤ 48.46 77.99 5.19 84.84
#162 [0, 1, 0, -1029869656, 15913087721444] ≥ 9 trivial 48.63 65.85 4.20 74.32
#1365 [0, 1, 0, -53518757176, 17580399206737…] ≥ 9 ℤ/2ℤ 48.63 78.12 5.20 85.72
#2094 [0, 1, 0, 12324101424, 21149652073354…] ≥ 9 ℤ/2ℤ 48.63 74.01 4.86 81.32
#1366 [0, -1, 0, -25163446025, 74798090991476…] ≥ 9 ℤ/2ℤ 48.73 75.73 5.01 83.46
#500 [1, 0, 0, -11796582015, 57625346472322…] ≥ 9 trivial 48.78 72.73 4.78 81.50
#1367 [0, -1, 0, -11578096525, 32213350280644…] ≥ 9 ℤ/2ℤ 48.79 73.08 4.79 81.13
#2026 [0, -1, 0, 32630276060, 21913519124454…] ≥ 9 ℤ/2ℤ 48.79 77.44 5.14 84.24
#1368 [0, -1, 0, -25626590985, 51860621827124…] ≥ 9 ℤ/2ℤ 48.85 75.95 5.02 83.51
#560 [1, -1, 0, -18301838892, 96818753383751…] ≥ 9 trivial 48.87 71.61 4.76 82.54
#1369 [0, -1, 0, -27370426505, 80044804886324…] ≥ 9 ℤ/2ℤ 48.92 76.02 5.03 83.71
#284 [0, 0, 0, -5565379300, 17073013504810…] ≥ 9 trivial 49.14 69.52 4.54 79.07
#358 [1, 1, 0, -71192370, 226048177800] ≥ 9 trivial 49.31 55.27 3.39 65.86
#1370 [0, -1, 0, -29090496521, 10159613937285…] ≥ 9 ℤ/2ℤ 49.39 76.11 5.04 83.89
#2028 [0, -1, 0, 6016054524, 11625772485747…] ≥ 9 ℤ/2ℤ 49.39 72.06 4.69 79.17
#4105 [1, 0, 1, -4155278737595…, 10309795679601…] ≥ 9 ℤ/3ℤ 49.53 100.29 7.56 119.50
#494 [1, -1, 1, -539761739, 7376782316379] ≥ 9 trivial 50.30 64.77 4.10 72.78
#30 [1, -1, 1, -1608154463, 25555312501831] ≥ 9 trivial 50.62 64.94 4.18 75.27
#4159 [1, -1, 0, -9995117836030…, 38378940454998…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 51.19 123.05 9.13 135.95
#4160 [0, 0, 0, -8302267538236…, 29100498651634…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 51.87 107.33 7.88 121.58
#3788 [1, 0, 1, -1461285343169…, 21489517033413…] ≥ 9 ℤ/3ℤ 52.23 115.85 8.60 130.18
#4161 [0, -1, 0, -5358641471006…, 31524477168456…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 52.47 112.77 8.09 120.27
#1204 [1, 0, 1, -7540160955289…, 24800520566886…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 53.16 124.19 9.14 135.11
#1208 [1, 0, 1, -9725332184709…, -5811166088712…] ≥ 9 ℤ/2ℤ 53.16 121.22 8.80 128.96
#3787 [0, 1, 0, 35111895184806…, 17059676504171…] ≥ 9 ℤ/3ℤ 55.88 108.47 7.72 115.91
#1647 [1, -1, 1, -1371407722296…, 71308803097251…] ≥ 9 ℤ/3ℤ 56.24 114.52 8.27 123.37
#1197 [1, 0, 1, -1892251104922…, 31686836332788…] ≥ 9 ℤ/3ℤ 58.06 129.17 9.77 144.77
#3694 [1, -1, 1, -3133455566469…, 65603644346627…] ≥ 9 ℤ/4ℤ 60.75 177.39 13.56 187.73
#3958 [1, -1, 1, -7624807087516…, -1649064524047…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 60.75 182.41 13.90 190.40
#1934 [1, -1, 1, -1259556984679…, 17205797813043…] ≥ 9 ℤ/4ℤ 60.86 161.73 12.92 185.00
#2031 [1, -1, 1, -1262226950286…, 17129189830354…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 60.86 173.36 13.27 185.01
#3673 [0, 1, 0, 24931835892509…, 43709472859500…] ≥ 9 ℤ/4ℤ 61.55 170.21 12.86 177.65
#3963 [0, 1, 0, -4587549704696…, 11478652160683…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 61.55 165.07 12.52 175.06
#3077 [1, 0, 0, -6811796873298…, 68773456615953…] ≥ 9 ℤ/3ℤ 61.62 143.47 10.80 155.53
#3447 [1, 0, 0, -8292485875462…, 34176182904426…] ≥ 9 ℤ/3ℤ 61.90 126.98 9.30 135.72
#3847 [1, 0, 0, -1680783198275…, 26824639618179…] ≥ 9 ℤ/3ℤ 62.02 133.19 9.91 144.44
#3674 [1, -1, 1, -7361864201747…, 24312510518475…] ≥ 9 ℤ/4ℤ 62.92 165.97 13.34 190.30
#3959 [1, -1, 1, -7371072159835…, 24248643159687…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 62.92 178.13 13.69 190.30
#3675 [1, -1, 1, -1272436048402…, 54847418658071…] ≥ 9 ℤ/4ℤ 63.05 166.43 12.69 178.12
#3961 [1, -1, 1, -2175082126494…, -3309785886671…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 63.05 172.20 13.04 179.73
#3676 [0, 0, 0, -5370287529643…, 15105507386846…] ≥ 9 ℤ/4ℤ 63.40 162.89 12.44 175.53
#3966 [0, 0, 0, -4821916513965…, 97323785926993…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 63.40 160.85 12.09 168.30
#3677 [1, 1, 0, -2865810038344…, 19644296442869…] ≥ 9 ℤ/4ℤ 63.47 170.87 12.99 180.66
#3960 [1, 1, 0, -2907011096793…, 19077296876449…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 63.47 161.13 12.65 180.60
#3678 [0, 0, 0, -1154028987379…, 47687482275649…] ≥ 9 ℤ/4ℤ 63.48 163.68 12.58 177.83
#3964 [0, 0, 0, -8687424785744…, 41850248655558…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 63.48 162.42 12.23 170.07
#3679 [1, -1, 1, 21979255745287…, -2076828894260…] ≥ 9 ℤ/4ℤ 63.59 165.64 12.49 172.85
#3965 [1, -1, 1, -6272106137079…, -2761181947863…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 63.59 161.40 12.15 169.09
#3848 [1, 0, 1, -6029378056131…, 18052229057559…] ≥ 9 ℤ/3ℤ 63.95 135.16 10.15 148.25
#3680 [1, 1, 1, -1841939043304…, 96219033267427…] ≥ 9 ℤ/4ℤ 64.09 154.18 12.41 179.23
#3962 [1, 1, 1, -1843541751890…, 96043201482693…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 64.09 166.70 12.75 179.23
#2084 [1, 1, 1, 53966300098701…, 71923413689649…] ≥ 9 ℤ/4ℤ 64.12 157.38 11.79 164.83
#2095 [1, 1, 1, -1172358580750…, 15161392242705…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 64.12 160.22 12.14 170.97
#3858 [1, 0, 0, -4996847017008…, 14298452464795…] ≥ 9 ℤ/3ℤ 64.26 137.99 10.25 147.79
#2093 [0, 0, 0, -1259741485178…, 54421468413519…] ≥ 9 ℤ/4ℤ 64.96 153.07 12.31 178.09
#3075 [0, 0, 0, -7880340737540…, 84875756206943…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 64.96 157.26 11.97 169.78
#1173 [1, 0, 1, -1742907593966…, 88443868698507…] ≥ 9 ℤ/4ℤ 66.84 165.71 12.71 179.07
#2030 [1, 0, 1, -1420833844172…, 47101528298497…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 66.84 164.04 12.36 171.55
#3066 [1, -1, 1, -1871828723540…, 78927804566680…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 66.87 184.62 14.10 193.10
#3074 [1, -1, 1, -1766206539740…, 90341467476381…] ≥ 9 ℤ/4ℤ 66.87 176.32 13.75 192.92
#1643 [0, 0, 0, 0, 30457819633596…] ≥ 9 ℤ/3ℤ 69.17 137.24 10.12 144.70
#1216 [1, 0, 0, -8015982223094…, 13402180101870…] ≥ 9 ℤ/6ℤ 69.84 213.84 16.50 221.34
#2032 [1, 0, 0, -2379992149449…, 44542952883353…] ≥ 9 ℤ/6ℤ 69.84 215.88 16.85 228.36
#3073 [0, -1, 0, -6310113763199…, 19134146811238…] ≥ 9 ℤ/4ℤ 72.31 178.27 13.68 189.83
#1827 [1, 0, 0, -1604573174364…, -3694491204583…] ≥ 9 ℤ/2ℤ × ℤ/4ℤ 73.16 226.37 17.56 234.08
#2033 [1, 0, 0, -2169804093800…, -3888327340812…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 73.16 227.53 17.91 241.89
#2098 [1, 0, 0, -7967320834038…, 26976176262494…] ≥ 9 ℤ/4ℤ 73.16 220.98 17.21 231.98
#2099 [1, 0, 0, 55634371339019…, -2765121350121…] ≥ 9 ℤ/4ℤ 73.16 230.62 17.91 237.81
#1215 [1, 0, 0, -1271376476514…, 24813171776401…] ≥ 9 ℤ/5ℤ 76.48 238.14 18.52 245.60
#3080 [0, 0, 1, 0, 87299817093221…] ≥ 9 ℤ/3ℤ 78.23 153.16 11.44 160.62
#1107 [0, 1, 0, -6141005737705…, 58574331773488…] ≥ 9 ℤ/2ℤ × ℤ/4ℤ 79.14 242.33 19.65 265.74
#2096 [0, 1, 0, -9825609019887…, 37487573620515…] ≥ 9 ℤ/4ℤ 79.14 227.23 20.00 274.06
#2103 [0, 1, 0, -6128849579934…, 58817774891634…] ≥ 9 ℤ/4ℤ 79.14 254.03 20.00 265.75
#3067 [0, -1, 0, -1627567332692…, 22374180470634…] ≥ 9 ℤ/4ℤ 81.55 205.70 15.82 213.16
#3069 [1, 0, 0, -7914107241966…, 27098533249188…] ≥ 9 ℤ/4ℤ 83.24 200.05 15.81 218.14
#3834 [1, 0, 0, 42459070568638…, 11988139528456…] ≥ 9 ℤ/6ℤ 85.34 264.90 20.76 271.78
#3957 [1, 0, 0, -2612745051972…, 11697600296815…] ≥ 9 ℤ/6ℤ 85.34 268.81 21.11 276.99
#1828 [1, 0, 0, -1443705842368…, 51852453412695…] ≥ 9 ℤ/2ℤ × ℤ/4ℤ 87.09 294.46 23.25 302.84
#2097 [1, 0, 0, -1352161593194…, 60514755240142…] ≥ 9 ℤ/4ℤ 87.09 286.29 22.90 302.64
#2102 [1, 0, 0, 33112058816367…, 32163354268157…] ≥ 9 ℤ/4ℤ 87.09 298.95 23.60 305.99
#3081 [0, 0, 0, 0, 19988905798337…] ≥ 9 ℤ/3ℤ 88.37 177.84 13.50 185.30
#1910 [1, 0, 0, -1311916257355…, 95272827405060…] ≥ 9 ℤ/6ℤ 89.64 287.87 22.69 295.65
#2092 [1, 0, 0, -1805673781082…, 93354844841698…] ≥ 9 ℤ/6ℤ 89.64 288.91 23.03 303.51