Elliptic Curve Rank Leaderboard

Curves with rank lower bound = 17

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showing 92 of 4205 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#467 [1, 0, 0, -1375414938269…, 20780863582673…] ≥ 17 trivial 108.68 148.06 11.09 157.75
#4176 [1, -1, 0, -3602863180316…, 79239789780197…] ≥ 17 trivial 110.50 136.88 10.16 146.71
#3604 [1, -1, 1, -6837782126389…, 68862484008206…] ≥ 17 trivial 111.69 155.18 11.87 169.35
#97 [1, 0, 0, -1036323527324…, 42020398420720…] ≥ 17 trivial 113.21 153.59 11.57 163.76
#701 [0, 1, 0, -6191340641930…, 17937321812412…] ≥ 17 trivial 113.30 138.41 10.29 148.33
#3605 [1, 0, 0, -2623053812959…, 52242922963576…] ≥ 17 trivial 113.42 175.87 13.47 187.22
#702 [1, 0, 1, -1735685605337…, 28910213719956…] ≥ 17 trivial 113.76 148.34 11.13 158.41
#3606 [0, 0, 0, -1139739147444…, 46377750964744…] ≥ 17 trivial 114.26 152.58 11.53 163.98
#4186 [0, -1, 0, -3578451727666…, 82774132683222…] ≥ 17 trivial 115.48 120.73 8.91 132.88
#703 [1, -1, 1, -3687882898070…, 26964563097723…] ≥ 17 trivial 116.16 142.39 10.68 153.68
#3607 [1, 0, 1, -7086975756605…, 74001808570287…] ≥ 17 trivial 116.42 172.56 13.17 183.31
#3608 [1, -1, 1, -1659881656972…, 25350586146647…] ≥ 17 trivial 116.83 161.59 12.24 172.01
#4182 [1, -1, 0, -3319748837937…, 87521530701989…] ≥ 17 trivial 117.95 124.31 9.08 132.99
#699 [1, 1, 0, -2853103906472…, 58454184659943…] ≥ 17 trivial 119.20 133.58 9.99 146.01
#1953 [0, 1, 0, -5940225874167…, 55723131604546…] ≥ 17 trivial 120.11 193.47 15.20 210.38
#1952 [1, 0, 0, -2929637761621…, 56324115934467…] ≥ 17 trivial 120.15 191.98 14.74 201.35
#4142 [1, -1, 1, -4813409916184…, 37795368638508…] ≥ 17 trivial 120.19 145.03 10.83 154.48
#4154 [0, 0, 0, -1366448151659…, 62587284169342…] ≥ 17 trivial 120.40 139.94 10.45 150.74
#1954 [0, 1, 0, -8884003805353…, 10182512992613…] ≥ 17 trivial 120.64 225.48 17.71 239.21
#755 [0, 1, 0, -6600328628343…, 66382853650800…] ≥ 17 trivial 120.71 172.24 13.15 183.09
#229 [1, -1, 0, -2029899277894…, 11513710620645…] ≥ 17 trivial 120.87 141.78 10.58 151.96
#159 [1, -1, 0, -1321749187079…, 24766324232811…] ≥ 17 trivial 121.87 129.14 9.46 136.79
#4143 [1, -1, 0, -5124387699510…, 43781425071113…] ≥ 17 trivial 121.96 143.96 10.78 154.67
#4179 [1, 1, 0, -1120623063185…, 42271699119015…] ≥ 17 trivial 123.08 140.71 10.47 150.11
#756 [1, 0, 0, -3906786995489…, 29752516312638…] ≥ 17 trivial 123.54 195.48 15.20 209.12
#4140 [1, 1, 0, -3982663993633…, 24190402304924…] ≥ 17 trivial 123.66 145.48 10.84 153.91
#4141 [1, 1, 1, -3990812171620…, 29322719750485…] ≥ 17 trivial 124.06 144.02 10.76 153.92
#3912 [1, 0, 0, -1833958817674…, 95594724490422…] ≥ 17 trivial 124.08 146.03 11.38 165.40
#4162 [1, 0, 1, -1431184224820…, 22169060926184…] ≥ 17 trivial 124.09 134.45 9.95 144.06
#4177 [1, 0, 1, -2622634267561…, 44493515720160…] ≥ 17 trivial 124.33 136.95 10.14 145.75
#85 [0, 0, 0, -1230093728114…, 17818691304061…] ≥ 17 trivial 124.73 156.63 11.74 164.21
#232 [1, 1, 0, -3197289214260…, 73862336294883…] ≥ 17 trivial 124.99 136.83 10.15 146.47
#700 [1, 0, 1, -4492271259793…, 11737155322392…] ≥ 17 trivial 125.07 136.25 10.16 147.39
#4178 [1, 0, 0, -1048027674245…, 38256790690307…] ≥ 17 trivial 125.24 140.50 10.45 149.91
#4153 [1, -1, 0, -4406779617095…, 27885988174132…] ≥ 17 trivial 126.20 145.81 10.86 154.22
#216 [1, 0, 0, -2921640089721…, 60777760375298…] ≥ 17 trivial 126.45 157.74 12.17 173.71
#140 [1, 0, 0, -3594058853231…, 71746738560038…] ≥ 17 trivial 127.52 151.68 11.37 160.51
#227 [1, 1, 1, -3093247876694…, 62533675385974…] ≥ 17 trivial 128.72 150.39 11.28 160.06
#163 [1, 0, 0, -2263625835910…, 41564547766350…] ≥ 17 trivial 129.88 174.08 13.37 186.76
#228 [0, -1, 0, -1054784785150…, 13065457517847…] ≥ 17 trivial 130.98 145.37 10.93 156.84
#164 [1, -1, 1, -4936153897237…, 42404178534919…] ≥ 17 trivial 130.99 170.04 13.02 182.20
#165 [1, 0, 1, -2716995354209…, 54214482321365…] ≥ 17 trivial 132.87 175.33 13.45 187.31
#230 [1, -1, 0, -6816265614735…, 69068431292254…] ≥ 17 trivial 133.00 143.98 10.82 155.54
#96 [1, 0, 1, -3764690650150…, 89019354183527…] ≥ 17 trivial 134.50 147.21 11.17 160.66
#231 [1, 0, 0, -2356513159556…, 45035945457332…] ≥ 17 trivial 135.76 148.72 11.18 159.29
#5 [0, 1, 0, -1847801808769…, 96678875493491…] ≥ 17 trivial 136.21 186.20 14.81 206.87
#166 [1, -1, 1, -3687257198396…, 27247408785741…] ≥ 17 trivial 136.89 165.93 12.82 181.31
#187 [1, 0, 0, -1189299700325…, 15790705709481…] ≥ 17 trivial 140.02 183.66 14.28 198.64
#219 [1, 0, 1, -7654227590476…, 48997878008750…] ≥ 17 trivial 140.12 161.79 12.18 169.69
#3565 [1, -1, 0, -1754543736470…, 10629934898753…] ≥ 17 ℤ/2ℤ 143.79 247.46 19.32 255.07
#4022 [1, -1, 0, -2287191864007…, 13303626229078…] ≥ 17 ℤ/2ℤ 143.79 248.84 19.66 262.77
#3485 [1, 0, 0, -5384108389823…, 15204073247883…] ≥ 17 ℤ/2ℤ 146.35 256.58 20.39 272.25
#4021 [1, 0, 0, -4874003875703…, 18200677353321…] ≥ 17 ℤ/2ℤ 146.35 264.43 20.74 272.61
#189 [1, 0, 0, -1656344031782…, 79985539388309…] ≥ 17 trivial 147.21 182.27 13.97 192.73
#190 [1, 0, 0, -4628404804980…, 38153011899362…] ≥ 17 trivial 149.72 183.65 14.15 195.81
#3472 [1, 1, 1, -9040157640002…, 71844692098536…] ≥ 17 ℤ/2ℤ 150.36 272.62 21.42 280.71
#4019 [1, 1, 1, -5595393575697…, -1555752648266…] ≥ 17 ℤ/2ℤ 150.36 276.03 21.77 286.18
#316 [1, 0, 0, -1185784901231…, 15709973088316…] ≥ 17 trivial 150.92 184.09 14.30 198.63
#1101 [1, 0, 0, -1243378215801…, 53356855174745…] ≥ 17 ℤ/2ℤ 151.24 286.79 22.91 302.39
#2000 [1, 0, 0, -7010823537213…, 10033288229518…] ≥ 17 ℤ/2ℤ 151.24 286.28 22.56 294.45
#3692 [1, 0, 0, -3345085019976…, 23231015871477…] ≥ 17 ℤ/2ℤ 151.47 280.47 22.17 291.55
#4018 [1, 0, 0, -6612733002897…, -2958400401188…] ≥ 17 ℤ/2ℤ 151.47 285.91 22.52 293.59
#62 [0, 0, 0, 0, -9088007366299…] ≥ 17 trivial 155.36 157.85 11.83 165.30
#308 [0, 0, 0, 0, 24537619889008…] ≥ 17 trivial 155.36 164.44 12.38 171.89
#3693 [1, 0, 0, -3501576044837…, 25104351887403…] ≥ 17 ℤ/2ℤ 156.76 265.72 20.99 277.87
#4020 [1, 0, 0, -1602563868323…, 52224737496818…] ≥ 17 ℤ/2ℤ 156.76 271.85 21.33 279.32
#37 [1, 0, 1, -9570894890557…, 35159825297065…] ≥ 17 ℤ/2ℤ 161.57 291.12 23.04 301.61
#309 [1, 0, 1, -1392478974260…, -1217114826246…] ≥ 17 ℤ/2ℤ 161.57 287.91 22.69 295.82
#519 [1, 0, 0, -2394980359951…, -2831350656023…] ≥ 17 ℤ/2ℤ 163.85 289.50 22.83 297.45
#1999 [1, 0, 0, -1607547610816…, 76377482560170…] ≥ 17 ℤ/2ℤ 163.85 292.75 23.17 303.16
#2146 [1, -1, 1, -1018436625192…, 58853455947619…] ≥ 17 ℤ/2ℤ 168.69 273.37 21.48 281.07
#2160 [1, -1, 1, -1376287698021…, 62114650230038…] ≥ 17 ℤ/2ℤ 168.69 274.52 21.82 288.88
#511 [1, -1, 1, -1347598821245…, 59588718300454…] ≥ 17 ℤ/2ℤ 171.70 318.93 25.39 330.27
#526 [1, 0, 0, 10740287287663…, 42244751666753…] ≥ 17 ℤ/2ℤ 172.58 312.90 24.75 320.35
#514 [1, -1, 1, -9688649196963…, 37092251763493…] ≥ 17 ℤ/2ℤ 177.05 317.96 25.31 329.30
#518 [1, 0, 0, -7014295011545…, 70569323689335…] ≥ 17 ℤ/2ℤ 177.58 351.74 28.11 362.85
#411 [1, 0, 0, -3591481020811…, 78382925089462…] ≥ 17 trivial 179.24 233.69 18.23 243.41
#517 [1, 0, 0, -4676250172766…, 12302853014843…] ≥ 17 ℤ/2ℤ 182.41 354.03 28.46 368.54
#513 [1, -1, 1, -8545878596603…, 85931558533293…] ≥ 17 ℤ/2ℤ 182.97 312.93 24.81 321.99
#523 [1, 1, 1, -9101887567534…, 89795409530709…] ≥ 17 ℤ/2ℤ 186.11 341.08 27.15 349.81
#508 [1, -1, 1, -5379288624256…, 47976421655098…] ≥ 17 ℤ/2ℤ 187.55 320.68 25.64 334.42
#512 [1, 0, 0, -2125729794087…, 37478276525551…] ≥ 17 ℤ/2ℤ 190.49 340.55 27.21 352.36
#515 [1, 0, 0, -1547542866227…, 72336427195558…] ≥ 17 ℤ/2ℤ 190.78 333.98 26.61 344.50
#509 [0, -1, 0, -5424376854878…, 47838663251397…] ≥ 17 ℤ/2ℤ 194.52 323.55 25.76 334.44
#525 [1, 0, 1, -5519473106759…, 15709950916757…] ≥ 17 ℤ/2ℤ 196.17 329.27 26.28 341.40
#520 [1, 0, 0, -8200472632584…, 84810127818880…] ≥ 17 ℤ/2ℤ 198.44 326.10 25.92 335.68
#510 [1, 0, 1, -8953711021620…, 10309659961796…] ≥ 17 ℤ/2ℤ 202.27 362.34 29.17 377.39
#522 [1, 1, 1, -9560119373282…, 11205917328296…] ≥ 17 ℤ/2ℤ 212.12 366.63 29.35 377.59
#516 [1, 0, 0, -1642440073507…, 80559514409142…] ≥ 17 ℤ/2ℤ 212.87 374.18 30.02 386.12
#521 [1, -1, 1, -3356619719174…, 30321206348307…] ≥ 17 ℤ/2ℤ 221.59 366.55 29.26 374.94
#507 [1, 0, 0, -8489423401566…, 30039718721636…] ≥ 17 ℤ/2ℤ 229.40 398.90 32.12 411.77
#524 [1, 0, 1, -2047287438765…, 35383097091233…] ≥ 17 ℤ/2ℤ 229.76 382.05 30.66 393.69