Elliptic Curve Rank Leaderboard

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dujella

Member since .

Curves (98)

curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#1951 [1, -1, 1, -5402916719086…, 48337258598865…] ≥ 19 ℤ/2ℤ 193.19 330.64 26.67 348.25
#1101 [1, 0, 0, -1243378215801…, 53356855174745…] ≥ 17 ℤ/2ℤ 151.24 286.79 22.91 302.39
#1100 [1, 0, 0, 88871190402766…, 39846859243544…] ≥ 16 ℤ/2ℤ 139.10 245.72 19.17 253.03
#1975 [1, 0, 0, -5793524243061…, -5730584452758…] ≥ 16 ℤ/2ℤ 141.34 251.08 19.62 258.66
#1976 [1, -1, 0, -4737799763193…, 12206432688547…] ≥ 15 ℤ/2ℤ 101.03 178.61 13.66 188.97
#1198 [1, 0, 0, -1573649343823…, 75970044777644…] ≥ 15 ℤ/2ℤ 117.06 204.68 16.06 220.21
#1199 [1, 0, 0, -9185056688281…, 10373065713399…] ≥ 14 ℤ/2ℤ 100.40 171.93 13.01 179.38
#1977 [1, 0, 0, -9468594009199…, 39155524434270…] ≥ 14 ℤ/2ℤ 102.13 195.89 15.06 205.07
#1936 [0, 1, 1, -2479143454512…, 47463673909255…] ≥ 14 ℤ/3ℤ 112.22 256.27 20.27 269.92
#1935 [1, 0, 1, -1886778476063…, 99753805569209…] ≥ 14 ℤ/3ℤ 132.31 306.99 25.09 331.27
#1835 [0, 1, 0, -1268052845566…, 64379331369939…] ≥ 14 ℤ/2ℤ × ℤ/2ℤ 158.15 329.39 26.14 336.99
#1938 [1, 0, 1, -2557499874808…, 49997987268990…] ≥ 13 ℤ/3ℤ 103.14 230.19 18.03 242.40
#1937 [1, 0, 1, -3142617982476…, 67755045622702…] ≥ 13 ℤ/3ℤ 101.42 242.92 19.17 256.82
#1919 [1, 1, 1, -6256786656374…, 19049126547136…] ≥ 13 ℤ/4ℤ 145.51 374.59 30.61 397.04
#1836 [1, 1, 1, -6276806730722…, 18921085951426…] ≥ 13 ℤ/2ℤ × ℤ/2ℤ 145.51 385.82 30.96 397.05
#1918 [1, -1, 1, -1844990787237…, 96445313848956…] ≥ 13 ℤ/4ℤ 145.94 384.61 31.06 400.29
#1194 [1, 0, 0, -1507573912593…, 71948127291473…] ≥ 12 ℤ/3ℤ 111.82 236.33 18.51 247.73
#1939 [1, 0, 0, -1757435272012…, 20803849458555…] ≥ 12 ℤ/3ℤ 108.24 246.85 19.28 255.08
#1921 [1, 0, 0, -1086750289534…, 43597316571532…] ≥ 12 ℤ/4ℤ 107.05 286.66 22.88 301.99
#1861 [1, 0, 0, -1209873315556…, 33105831183996…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 107.05 294.32 23.23 302.31
#1125 [1, 1, 1, -2044361857832…, 11659777722440…] ≥ 12 ℤ/4ℤ 115.96 307.64 24.40 317.77
#1114 [1, 1, 1, -3303894515586…, 73094841061617…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 115.96 305.87 24.75 326.05
#1201 [1, 1, 1, -5286229037311…, 46780738934416…] ≥ 12 ℤ/2ℤ 115.96 294.01 25.10 334.37
#1195 [1, 0, 0, -1938140500023…, 32840137866325…] ≥ 11 ℤ/3ℤ 77.19 169.60 13.20 186.29
#1245 [1, 1, 1, -4038651958999…, 30461833572389…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 85.09 184.94 14.19 195.40
#1200 [1, -1, 0, 29623980979938…, 89863482554189…] ≥ 11 ℤ/2ℤ 94.94 195.06 14.94 202.12
#1086 [1, -1, 0, -2125227664065…, 93862752410868…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 94.94 198.87 15.29 207.29
#3518 [1, 1, 1, -7671715934167…, 81782853545083…] ≥ 11 ℤ/4ℤ 86.19 208.42 16.42 224.96
#3598 [1, -1, 0, -1016169161922…, 12464279528163…] ≥ 11 ℤ/4ℤ 84.14 210.93 16.55 225.80
#1922 [1, 1, 1, -1092009163246…, 43765149405799…] ≥ 11 ℤ/4ℤ 96.05 234.35 18.38 246.74
#1098 [0, -1, 0, -2898873654461…, 20921846641378…] ≥ 11 ℤ/4ℤ 91.34 240.67 18.79 249.86
#1196 [1, 0, 1, -1283794281755…, 55987935129057…] ≥ 10 ℤ/3ℤ 67.39 145.75 11.31 164.33
#1085 [0, 0, 0, -4395789203498…, 35049596839234…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 66.58 156.83 11.88 168.03
#1878 [0, 1, 0, -1939363608964…, 29453641253718…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 70.62 163.40 12.35 172.48
#1933 [1, 1, 1, -1787947782144…, 91941993506861…] ≥ 10 ℤ/4ℤ 70.63 179.12 13.85 192.96
#1197 [1, 0, 1, -1892251104922…, 31686836332788…] ≥ 9 ℤ/3ℤ 58.06 129.17 9.77 144.77
#1173 [1, 0, 1, -1742907593966…, 88443868698507…] ≥ 9 ℤ/4ℤ 66.84 165.71 12.71 179.07
#1934 [1, -1, 1, -1259556984679…, 17205797813043…] ≥ 9 ℤ/4ℤ 60.86 161.73 12.92 185.00
#1216 [1, 0, 0, -8015982223094…, 13402180101870…] ≥ 9 ℤ/6ℤ 69.84 213.84 16.50 221.34
#1827 [1, 0, 0, -1604573174364…, -3694491204583…] ≥ 9 ℤ/2ℤ × ℤ/4ℤ 73.16 226.37 17.56 234.08
#1215 [1, 0, 0, -1271376476514…, 24813171776401…] ≥ 9 ℤ/5ℤ 76.48 238.14 18.52 245.60
#1107 [0, 1, 0, -6141005737705…, 58574331773488…] ≥ 9 ℤ/2ℤ × ℤ/4ℤ 79.14 242.33 19.65 265.74
#3834 [1, 0, 0, 42459070568638…, 11988139528456…] ≥ 9 ℤ/6ℤ 85.34 264.90 20.76 271.78
#1910 [1, 0, 0, -1311916257355…, 95272827405060…] ≥ 9 ℤ/6ℤ 89.64 287.87 22.69 295.65
#1828 [1, 0, 0, -1443705842368…, 51852453412695…] ≥ 9 ℤ/2ℤ × ℤ/4ℤ 87.09 294.46 23.25 302.84
#1099 [1, 0, 1, -4213613959455, 33284162329767…] ≥ 8 ℤ/3ℤ 43.61 83.61 5.96 98.82
#1913 [1, 0, 1, -6731612366192…, 31829008109595…] ≥ 8 ℤ/6ℤ 56.81 175.41 13.31 183.12
#1917 [0, 1, 1, -4340490396858…, 11058308976529…] ≥ 8 ℤ/5ℤ 59.69 176.59 13.56 188.72
#1916 [0, -1, 1, 15906368950552…, 12016400191374…] ≥ 8 ℤ/5ℤ 59.51 181.47 13.80 188.89
#1122 [1, 1, 1, -2572045081654…, 17486735310079…] ≥ 8 ℤ/5ℤ 61.32 185.05 14.16 194.24
#1915 [1, 0, 0, -1346404541224…, 19318553476047…] ≥ 8 ℤ/5ℤ 63.44 188.12 14.47 199.05
#3843 [1, 0, 0, -1390269098748…, 18994312040136…] ≥ 8 ℤ/6ℤ 58.71 189.29 14.53 199.11
#1108 [0, 1, 0, -2368606183248…, 14012948260726…] ≥ 8 ℤ/2ℤ × ℤ/4ℤ 62.29 194.20 15.08 207.62
#1109 [1, 0, 0, -6565665805280…, 20476368651145…] ≥ 8 ℤ/2ℤ × ℤ/4ℤ 62.42 200.43 15.79 217.58
#1095 [1, 0, 0, -2895282112695…, 15514785702925…] ≥ 8 ℤ/6ℤ 62.45 213.47 16.51 222.04
#1911 [1, 0, 0, -4755800510238…, 39911788650682…] ≥ 8 ℤ/6ℤ 68.17 222.01 17.49 237.34
#1830 [0, 1, 0, -2386801266816…, 44845424005663…] ≥ 7 ℤ/2ℤ × ℤ/4ℤ 48.52 145.41 11.04 159.29
#1121 [1, 0, 1, -4019175690941…, 97050922917328…] ≥ 7 ℤ/6ℤ 48.11 149.52 11.27 160.85
#1124 [1, 0, 0, -4401046837403…, 11324706812339…] ≥ 7 ℤ/5ℤ 49.93 149.50 11.28 161.14
#1089 [0, 1, 0, -5334348061487…, 14972113589959…] ≥ 7 ℤ/2ℤ × ℤ/4ℤ 46.09 148.49 11.27 161.70
#1123 [0, 1, 1, 21684687816792…, 53632363333048…] ≥ 7 ℤ/5ℤ 50.72 156.79 11.74 164.25
#1120 [1, 0, 0, -3112467886244…, 66835225530144…] ≥ 7 ℤ/6ℤ 52.52 163.73 13.14 187.71
#1826 [0, -1, 0, -3436336410579…, 36692720733182…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 40.78 125.04 9.12 132.75
#1112 [1, 0, 0, -6450655325320…, 18285491619516…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 41.41 125.35 9.18 134.64
#1097 [0, 1, 1, -1712371016075…, 88578795753569…] ≥ 6 ℤ/5ℤ 42.01 127.21 9.38 137.62
#1111 [0, 1, 0, -2013664127615…, -6494465861707…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 41.33 130.17 9.55 138.05
#1096 [1, 0, 1, -2518742168027…, 48654137710470…] ≥ 6 ℤ/6ℤ 42.67 127.25 9.76 145.63
#1914 [1, 0, 0, -4621116186574…, 11099866341792…] ≥ 6 ℤ/6ℤ 45.34 138.15 10.25 147.45
#1904 [1, 1, 1, 69056025716937…, -3349218851893…] ≥ 6 ℤ/8ℤ 60.46 251.75 19.67 259.18
#1833 [1, 0, 0, -3768095670099…, -3699289839792…] ≥ 6 ℤ/2ℤ × ℤ/6ℤ 59.95 263.54 20.66 271.18
#1903 [1, 0, 0, -3165956472564…, 68556991377202…] ≥ 6 ℤ/8ℤ 63.48 268.72 21.41 284.47
#1106 [1, 0, 1, -5012222351518…, 13646441757905…] ≥ 6 ℤ/2ℤ × ℤ/6ℤ 63.20 272.03 21.59 285.85
#1897 [1, 1, 1, -1816104564575…, 28237703990352…] ≥ 6 ℤ/8ℤ 70.63 286.88 22.66 296.62
#1119 [1, 0, 0, -7568281857154…, 25340184713335…] ≥ 6 ℤ/8ℤ 70.51 284.70 22.76 300.90
#1831 [1, -1, 1, -1064003532304…, 42212895001975…] ≥ 6 ℤ/2ℤ × ℤ/6ℤ 68.27 301.76 24.07 315.74
#1214 [1, 0, 0, -3260345148508…, 12613980717746…] ≥ 6 ℤ/7ℤ 81.32 333.11 26.45 340.95
#1832 [1, -1, 1, -1159559277404…, 48054245353871…] ≥ 6 ℤ/2ℤ × ℤ/6ℤ 82.57 355.54 28.64 371.26
#1088 [1, 0, 0, -9904296902409…, 34384426638818…] ≥ 5 ℤ/2ℤ × ℤ/6ℤ 39.47 168.19 12.75 177.37
#1094 [1, 0, 0, -3871874529581…, 29324436958319…] ≥ 5 ℤ/7ℤ 40.43 160.65 12.69 181.46
#1907 [1, 0, 0, 17189192408099…, 14347563590500…] ≥ 5 ℤ/7ℤ 42.58 178.72 13.58 185.93
#1093 [1, 0, 0, -3042411698115…, 20659864464489…] ≥ 5 ℤ/8ℤ 42.83 183.33 14.09 194.58
#1834 [1, 0, 0, -4141041525086…, 30740710413907…] ≥ 5 ℤ/2ℤ × ℤ/6ℤ 44.41 185.74 14.23 195.48
#1905 [1, 0, 0, -4805101014203…, 24445672521664…] ≥ 5 ℤ/8ℤ 46.06 188.02 14.37 195.92
#1908 [1, 0, 0, -2989806201437…, 62923591421774…] ≥ 5 ℤ/7ℤ 43.23 181.48 14.37 201.41
#1906 [1, 0, 0, -5845759088452…, 16867868851606…] ≥ 5 ℤ/8ℤ 46.58 206.53 16.00 217.24
#1117 [1, 0, 0, -2101219125610…, 37072777483029…] ≥ 4 ℤ/9ℤ 37.33 189.44 15.32 214.17
#1116 [1, 0, 0, -8445699463299…, 94467055910851…] ≥ 4 ℤ/9ℤ 47.10 208.56 16.44 225.25
#1894 [1, 0, 0, 27214190426450…, 70269004493489…] ≥ 4 ℤ/9ℤ 48.28 221.81 17.16 229.26
#1090 [1, 0, 0, -3913976067656…, 80614222594310…] ≥ 4 ℤ/10ℤ 50.24 234.89 18.30 243.66
#1887 [1, 0, 0, -1273817386430…, 17495594046612…] ≥ 4 ℤ/10ℤ 53.69 238.75 18.89 254.11
#1890 [1, 0, 0, -6063417433499…, 57467764131164…] ≥ 4 ℤ/10ℤ 53.48 255.58 20.79 279.52
#1105 [1, 0, 0, -4422329901784…, 98943710602886…] ≥ 4 ℤ/12ℤ 61.14 318.02 25.23 326.92
#1092 [1, -1, 1, -4136826769709…, 10241166849391…] ≥ 3 ℤ/9ℤ 21.32 84.66 6.36 105.67
#1087 [1, 0, 0, -1574593253082…, 24028219957095…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 27.56 130.42 9.79 144.22
#1091 [1, 0, 0, -4281263352573…, 10782166365469…] ≥ 3 ℤ/10ℤ 28.70 129.81 10.78 161.04
#1102 [1, -1, 1, -4240375358253…, 10627414422800…] ≥ 3 ℤ/12ℤ 36.39 172.19 13.40 188.64
#1103 [1, 0, 0, 22560435880391…, 54047983322613…] ≥ 3 ℤ/12ℤ 36.87 184.45 14.05 191.89
#1104 [1, 0, 0, -2015047724010…, 34815737557101…] ≥ 3 ℤ/12ℤ 36.80 207.46 16.56 227.86