Elliptic Curve Rank Leaderboard

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Odbayar Shinebayar

Member since .

Curves (95)

curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#4023 [1, 0, 0, 11846273771479…, 99664097399755…] ≥ 18 ℤ/2ℤ 177.30 286.98 22.59 294.43
#4022 [1, -1, 0, -2287191864007…, 13303626229078…] ≥ 17 ℤ/2ℤ 143.79 248.84 19.66 262.77
#4021 [1, 0, 0, -4874003875703…, 18200677353321…] ≥ 17 ℤ/2ℤ 146.35 264.43 20.74 272.61
#4020 [1, 0, 0, -1602563868323…, 52224737496818…] ≥ 17 ℤ/2ℤ 156.76 271.85 21.33 279.32
#4019 [1, 1, 1, -5595393575697…, -1555752648266…] ≥ 17 ℤ/2ℤ 150.36 276.03 21.77 286.18
#4018 [1, 0, 0, -6612733002897…, -2958400401188…] ≥ 17 ℤ/2ℤ 151.47 285.91 22.52 293.59
#4017 [1, 0, 0, -1141865506832…, -9167608505731…] ≥ 16 ℤ/2ℤ 131.97 225.57 17.49 233.06
#4014 [1, 0, 0, -3390104022415…, 14395024788791…] ≥ 16 ℤ/2ℤ 132.79 237.06 18.43 244.51
#4016 [1, 0, 0, -9653012624918…, 28070442893659…] ≥ 16 ℤ/2ℤ 132.64 245.76 19.17 253.28
#4015 [1, 1, 1, -1019188320158…, -2957900894242…] ≥ 16 ℤ/2ℤ 132.27 252.08 19.72 260.35
#4013 [0, 1, 0, -7208738335743…, 73924293996585…] ≥ 15 ℤ/2ℤ 114.72 185.51 14.28 197.14
#4012 [1, 1, 0, -1262685454892…, -3086991656509…] ≥ 15 ℤ/2ℤ 114.37 191.34 14.63 198.82
#4011 [1, 1, 0, -3205515501576…, 22088128131622…] ≥ 15 ℤ/2ℤ 116.99 192.37 15.07 208.53
#4010 [1, -1, 1, 32948675568318…, 46586716650661…] ≥ 15 ℤ/2ℤ 113.04 211.80 16.33 219.23
#4009 [1, 0, 0, -6372841881075…, 61921687077691…] ≥ 15 ℤ/2ℤ 115.70 206.28 16.33 224.40
#4008 [1, 0, 0, -1132980808475…, 95053227636999…] ≥ 15 ℤ/2ℤ 114.31 222.39 17.21 229.86
#4007 [1, -1, 1, 61047107813121…, 35394671499384…] ≥ 15 ℤ/2ℤ 116.45 225.04 17.43 232.49
#4006 [1, 0, 0, -4392076037989…, 46671635543273…] ≥ 15 ℤ/2ℤ 115.90 236.36 18.39 244.01
#4005 [0, 0, 0, 62224547647428…, 18642056625464…] ≥ 14 ℤ/2ℤ 101.16 177.80 13.50 185.16
#4004 [1, 0, 0, -7122837686554…, 12936335300587…] ≥ 14 ℤ/2ℤ 100.67 181.58 13.81 189.03
#4003 [1, 0, 1, -9572499989897…, -2233397097131…] ≥ 14 ℤ/2ℤ 98.29 190.50 14.57 197.99
#4002 [1, 0, 0, -5251564154980…, 14639874124131…] ≥ 14 ℤ/2ℤ 95.52 202.67 15.83 216.91
#4001 [1, 1, 1, -1385318294350…, 62758481984595…] ≥ 14 ℤ/2ℤ 101.15 196.80 15.83 219.82
#4000 [0, 0, 0, -6280594502823…, 68211218952129…] ≥ 13 ℤ/2ℤ 89.81 146.51 10.94 155.52
#3999 [1, 0, 0, -2190782847830…, 12480287472209…] ≥ 13 ℤ/2ℤ 85.04 149.31 11.50 165.94
#3998 [1, 0, 1, -2752360851282…, 17575130938991…] ≥ 13 ℤ/2ℤ 89.21 148.91 11.53 166.62
#3997 [1, 1, 1, -6370393981054…, 11868055398390…] ≥ 13 ℤ/2ℤ 89.01 162.67 12.25 170.44
#3995 [1, 1, 1, -3627822624372…, 13399783863351…] ≥ 13 ℤ/2ℤ 90.05 167.33 12.64 175.29
#3996 [1, 1, 1, -1320217134497…, 58386929433855…] ≥ 13 ℤ/2ℤ 87.85 185.48 14.73 205.86
#3994 [1, 0, 1, -2548858708107…, 15513998795270…] ≥ 12 ℤ/2ℤ 74.05 126.57 9.23 134.14
#3993 [1, -1, 0, -2583167927740…, 14625458243583…] ≥ 12 ℤ/2ℤ 76.91 135.76 9.99 143.23
#3992 [1, -1, 1, -3362445101854…, 75032628385235…] ≥ 12 ℤ/2ℤ 77.31 144.96 11.07 160.31
#3991 [1, 1, 1, -3546566101391…, -4504877355684…] ≥ 12 ℤ/2ℤ 77.75 152.65 11.42 160.47
#3990 [1, 1, 1, -1201732941499…, 16033036983896…] ≥ 12 ℤ/2ℤ 77.11 155.09 11.95 171.04
#3989 [0, 1, 0, -2650518517969…, 51817925876915…] ≥ 12 ℤ/2ℤ 78.43 162.34 12.33 173.42
#3988 [1, 0, 0, -8155605971906…, 19748854862733…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 113.28 306.82 24.27 314.94
#3987 [1, -1, 1, -1793852737626…, 83222938474154…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 131.34 335.82 26.72 344.94
#3986 [1, 1, 0, -1388678595957…, 12271669240718…] ≥ 11 ℤ/2ℤ 68.68 122.57 8.90 130.03
#3985 [1, 1, 0, -6133096345249…, 18486894505181…] ≥ 11 ℤ/2ℤ 68.70 116.09 8.83 134.49
#3984 [0, -1, 0, -7208029236337…, 26635077865552…] ≥ 11 ℤ/2ℤ 65.94 126.24 9.25 135.22
#3983 [1, 1, 0, -1311514981363…, -2445315301606…] ≥ 11 ℤ/2ℤ 69.64 129.11 9.45 136.77
#3981 [1, 0, 0, -3203199999473…, -4229942764464…] ≥ 11 ℤ/2ℤ 70.06 138.44 10.24 146.35
#3982 [1, 0, 1, -6078615304318…, 41273113829342…] ≥ 11 ℤ/2ℤ 68.38 147.01 10.96 155.18
#3980 [1, 0, 0, -9063398804234…, 10365657026340…] ≥ 11 ℤ/2ℤ 69.93 145.27 10.91 156.38
#3979 [1, 1, 1, -5090212997558…, 11115122109289…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 86.19 208.37 16.08 216.82
#3978 [1, -1, 0, -7252203858536…, 13588867949539…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 84.14 210.03 16.20 217.88
#3977 [1, 0, 0, -8971274392553…, -2021208100120…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 90.08 224.40 17.40 232.34
#3976 [1, -1, 0, -9785338624630…, -5825826861087…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 93.46 231.77 18.01 239.50
#3975 [1, 0, 1, 52506820321303, 10779070569158…] ≥ 10 ℤ/2ℤ 56.17 107.53 7.64 114.99
#3974 [1, 0, 1, -5141619342686…, 44748371944456…] ≥ 10 ℤ/2ℤ 57.64 114.41 8.40 127.05
#3973 [1, 1, 0, -8002557031210…, 87134702007321…] ≥ 10 ℤ/2ℤ 61.17 106.58 8.24 128.38
#3972 [1, 0, 0, -6561361428700…, -1094291941753…] ≥ 10 ℤ/2ℤ 59.33 126.90 9.27 134.69
#3971 [0, -1, 0, -3872509128953…, 29331630951864…] ≥ 10 ℤ/2ℤ 60.50 119.72 9.24 140.01
#3970 [0, 0, 0, -1328737230675…, -9490989457113…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 74.72 177.41 13.48 185.16
#3968 [1, 1, 0, -1068263567637…, -4158220470450…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 76.26 190.77 14.59 198.32
#3969 [0, 0, 0, -1999716720835…, 24310580713109…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 76.18 192.06 14.71 200.20
#3967 [1, 0, 0, -1804166658196…, -2967307044392…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 75.70 213.06 16.45 220.62
#3966 [0, 0, 0, -4821916513965…, 97323785926993…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 63.40 160.85 12.09 168.30
#3965 [1, -1, 1, -6272106137079…, -2761181947863…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 63.59 161.40 12.15 169.09
#3964 [0, 0, 0, -8687424785744…, 41850248655558…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 63.48 162.42 12.23 170.07
#3963 [0, 1, 0, -4587549704696…, 11478652160683…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 61.55 165.07 12.52 175.06
#3962 [1, 1, 1, -1843541751890…, 96043201482693…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 64.09 166.70 12.75 179.23
#3961 [1, -1, 1, -2175082126494…, -3309785886671…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 63.05 172.20 13.04 179.73
#3960 [1, 1, 0, -2907011096793…, 19077296876449…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 63.47 161.13 12.65 180.60
#3959 [1, -1, 1, -7371072159835…, 24248643159687…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 62.92 178.13 13.69 190.30
#3958 [1, -1, 1, -7624807087516…, -1649064524047…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 60.75 182.41 13.90 190.40
#3957 [1, 0, 0, -2612745051972…, 11697600296815…] ≥ 9 ℤ/6ℤ 85.34 268.81 21.11 276.99
#3956 [1, -1, 1, -1911650025077…, 84651114747569…] ≥ 8 ℤ/2ℤ × ℤ/2ℤ 48.17 129.26 9.49 137.90
#3955 [0, 1, 0, -2555814488519…, 15395279683847…] ≥ 8 ℤ/2ℤ × ℤ/2ℤ 50.29 128.14 9.46 138.77
#3954 [1, 0, 1, -2586482221334…, -3351559100334…] ≥ 8 ℤ/2ℤ × ℤ/2ℤ 51.32 137.68 10.18 145.71
#3953 [1, -1, 1, -6344860994667…, 19452762020753…] ≥ 8 ℤ/2ℤ × ℤ/2ℤ 51.25 123.78 9.85 148.40
#3952 [1, -1, 1, -1058884285731…, 28319330910032…] ≥ 8 ℤ/2ℤ × ℤ/2ℤ 49.29 141.88 10.53 149.94
#3951 [1, 1, 1, -1205304763469…, 50924419737394…] ≥ 8 ℤ/2ℤ × ℤ/2ℤ 50.32 134.80 10.24 150.33
#3950 [1, 0, 0, -2288886873048…, 13237633660648…] ≥ 8 ℤ/2ℤ × ℤ/2ℤ 51.20 140.50 10.54 152.25
#3949 [1, 0, 0, 58777292179154…, 11916169537565…] ≥ 8 ℤ/6ℤ 58.71 186.04 14.18 193.48
#3948 [0, 0, 0, -4752687020236…, 67724202933393…] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 41.46 105.51 7.48 113.00
#3947 [0, -1, 0, -8374688157394…, 93267615526874…] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 41.90 99.21 7.27 114.70
#3946 [1, 1, 1, -3661223359692…, 85264883940878…] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 40.81 102.23 7.59 119.12
#3945 [1, -1, 1, -1687128780539…, 51394533255226…] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 40.75 115.79 8.35 123.71
#3944 [1, -1, 1, -1149861788410…, 15007193935328…] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 41.75 112.56 8.46 129.46
#3943 [1, 1, 1, -4414216092894…, 11240051266803…] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 42.09 121.28 8.95 133.50
#3942 [1, 0, 0, -3816977694006…, 90766898840468…] ≥ 7 ℤ/6ℤ 47.04 137.94 10.91 160.69
#3941 [1, 0, 1, -1349954484785…, 60370780184310…] ≥ 7 ℤ/6ℤ 48.71 140.49 11.20 164.48
#3939 [1, -1, 1, -1893004855905…, 31727543526925…] ≥ 7 ℤ/6ℤ 48.88 158.55 12.13 172.41
#3940 [1, 0, 1, -3797124002213…, 91443227117108…] ≥ 7 ℤ/6ℤ 47.55 163.56 12.43 174.53
#3938 [0, 1, 0, -840828, -219917852] ≥ 6 ℤ/2ℤ 26.56 44.29 2.40 52.54
#3937 [0, 1, 0, -1147625, 471662119] ≥ 6 ℤ/2ℤ 26.50 40.70 2.26 53.47
#3936 [1, 0, 1, -3095603390356…, 66292753193209…] ≥ 6 ℤ/6ℤ 38.91 109.11 8.54 132.44
#3935 [1, 0, 1, -8617824201765…, 30171059052781…] ≥ 6 ℤ/6ℤ 34.92 124.83 9.19 135.51
#3934 [1, 0, 1, -4268027171338…, 10732196171056…] ≥ 6 ℤ/6ℤ 39.67 126.18 9.83 147.21
#3933 [1, -1, 1, -4366452718275…, 11103226554784…] ≥ 6 ℤ/6ℤ 38.73 145.88 11.14 161.10
#3932 [1, 1, 0, -4267, 2190505] ≥ 5 ℤ/2ℤ 20.88 35.27 1.62 42.72
#3931 [0, 1, 1, 9, 0] ≥ 3 trivial 10.71 10.71 -0.42 18.09
#3930 [0, -1, 0, -732479, 241399368] ≥ 3 ℤ/4ℤ 15.47 37.88 2.10 52.13
#3929 [0, -1, 0, 16, -180] ≥ 0 ℤ/2ℤ 3.18 16.41 0.05 23.85

Contributions to other curves (40)

curve a-invariants contribution rank when
#2443 [1, 0, 1, -121333907129, 16267468435419656] improved rank ≥ 1 → ≥ 2 2
#2441 [1, -1, 0, -2855123405955, 1856887560682445025] improved rank ≥ 1 → ≥ 2 2
#2364 [1, 0, 1, -187332642234, -4374159879791204] improved rank ≥ 1 → ≥ 2 2
#2363 [1, 0, 0, -453775350356, 117612485788651920] improved rank ≥ 1 → ≥ 2 2
#2331 [1, 0, 1, -2379809715669, 1412997643545194476] improved rank ≥ 1 → ≥ 2 2
#2327 [1, 0, 0, -582451039220, 84157259788064400] improved rank ≥ 1 → ≥ 2 2
#2326 [1, 0, 0, -593477041221, -172826369313982335] improved rank ≥ 1 → ≥ 2 2
#2320 [1, -1, 0, -677499803955, 137211692850677025] improved rank ≥ 1 → ≥ 2 2
#2306 [1, 0, 0, -1164940169721, 338648105509531065] improved rank ≥ 1 → ≥ 2 2
#2289 [1, 0, 1, -1888683281469, 792253530598687876] improved rank ≥ 1 → ≥ 2 2
#2284 [1, 0, 0, -2422468397196, 871987699874244240] improved rank ≥ 1 → ≥ 2 2
#2277 [1, 0, 1, -29328099696463, 61132331956828951406] improved rank ≥ 1 → ≥ 2 2
#2271 [1, -1, 0, -4718795443119, 3899460082075915833] improved rank ≥ 1 → ≥ 2 2
#2267 [1, -1, 0, -43747324507710, 111371268689269330500] improved rank ≥ 1 → ≥ 2 2
#2261 [1, -1, 1, -16569333686498, 25955846290618245281] improved rank ≥ 1 → ≥ 2 2
#2259 [1, 0, 1, -8832257555908, 9469663691710898306] improved rank ≥ 1 → ≥ 2 2
#2255 [1, 0, 1, -92068659682814, 340027902657950559536] improved rank ≥ 1 → ≥ 2 2
#2254 [1, 0, 0, -10154535135795, 12194281601397893025] improved rank ≥ 1 → ≥ 2 2
#2247 [1, 0, 0, -12360706320466, 11055717559828669700] improved rank ≥ 1 → ≥ 2 2
#2241 [1, 0, 0, -15193716871190, 18109160049858584100] improved rank ≥ 1 → ≥ 2 2
#2240 [1, 0, 1, -18001886422098, 29275371201369652756] improved rank ≥ 1 → ≥ 2 2
#2232 [1, 0, 1, -25949401558048, 50797053184270223006] improved rank ≥ 1 → ≥ 2 2
#2231 [1, 0, 0, -292294069252681, 1923435274267657789145] improved rank ≥ 1 → ≥ 2 2
#2229 [1, 0, 0, -89629421863290, 326591007583901552100] improved rank ≥ 1 → ≥ 2 2
#2225 [1, 0, 1, -22250378827989, 18605424364010439436] improved rank ≥ 1 → ≥ 2 2
#2222 [1, -1, 1, -25401661821608, 48766688115388837931] improved rank ≥ 1 → ≥ 2 2
#2216 [1, 0, 1, -40304114187459, 98074666332214988746] improved rank ≥ 1 → ≥ 2 2
#2214 [1, 0, 1, -86158437134683, 307724834828804204306] improved rank ≥ 1 → ≥ 2 2
#2211 [1, -1, 0, -47244399591510, 124184795533766446500] improved rank ≥ 1 → ≥ 2 2
#2208 [1, 0, 0, -60966038780296, 158104574819660056640] improved rank ≥ 1 → ≥ 2 2
#2206 [1, 0, 1, -66818856874073, 208501756452243817256] improved rank ≥ 1 → ≥ 2 2
#2204 [1, 0, 0, -69172920966290, 134553503911665092100] improved rank ≥ 1 → ≥ 2 2
#2199 [1, -1, 1, -116867762420567, 485792659633573720559] improved rank ≥ 1 → ≥ 2 2
#2197 [1, 0, 0, -96194765616180, 299114643271374176400] improved rank ≥ 1 → ≥ 2 2
#2195 [1, 0, 0, -598522898339300, 5635916179156412490000] improved rank ≥ 1 → ≥ 2 2
#2194 [1, 0, 1, -138920772686029, 629670797059743745556] improved rank ≥ 1 → ≥ 2 2
#2193 [1, 0, 0, -131017936706945, 575516124248439854025] improved rank ≥ 1 → ≥ 2 2
#2190 [1, 0, 0, -551362734776020, 4982994975317017216400] improved rank ≥ 1 → ≥ 2 2
#2189 [1, 0, 1, -239726539055504, 1421550429040823091806] improved rank ≥ 1 → ≥ 2 2
#2188 [1, 0, 0, -422809218892040, 3345020662233716289600] improved rank ≥ 1 → ≥ 2 2