Elliptic Curve Rank Leaderboard

Curves with rank lower bound = 18

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showing 75 of 4205 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#3727 [0, 1, 0, -1870073332603…, 33354634447365…] ≥ 18 trivial 119.50 163.01 12.33 172.51
#3589 [0, 1, 0, -4301363910709…, 10878063415201…] ≥ 18 trivial 120.29 175.62 13.52 188.69
#3543 [1, 0, 1, -1049350512320…, 14226219483736…] ≥ 18 trivial 121.25 175.30 13.35 184.62
#3609 [0, 1, 0, -3263173554665…, 21625886361755…] ≥ 18 trivial 121.68 184.92 14.17 194.76
#1955 [0, 1, 0, -3142848387624…, 68945569305984…] ≥ 18 trivial 121.88 163.08 12.38 173.96
#3610 [0, 1, 0, -2122166949958…, 11914429338377…] ≥ 18 trivial 125.02 180.05 13.91 193.48
#4026 [1, 0, 0, -1523876251498…, 20751154116233…] ≥ 18 trivial 125.33 176.39 13.43 185.57
#644 [1, 0, 1, -1743277697864…, 26865014546188…] ≥ 18 trivial 125.60 162.18 12.28 172.16
#1956 [1, 0, 0, -3269080460443…, 71978041884815…] ≥ 18 trivial 126.43 187.30 14.55 201.68
#3611 [0, 1, 0, -1723763493025…, 87345722413451…] ≥ 18 trivial 126.77 180.18 13.88 192.85
#754 [1, -1, 1, -4958352887138…, 13735005088804…] ≥ 18 trivial 127.06 178.55 13.66 189.15
#161 [1, -1, 1, -1861192220801…, 96678496113457…] ≥ 18 trivial 127.07 181.78 13.96 193.08
#1957 [1, -1, 1, -4504429865794…, 11202292510121…] ≥ 18 trivial 127.84 192.57 14.81 202.64
#222 [1, -1, 1, -3331019292820…, 88471823270026…] ≥ 18 trivial 128.53 151.99 11.38 160.64
#4200 [0, 0, 0, -1572754513082…, 25243298865338…] ≥ 18 trivial 128.68 148.33 11.12 158.14
#314 [0, 1, 0, -5259979010001…, 46425513899592…] ≥ 18 trivial 129.32 166.85 12.91 182.38
#698 [1, -1, 1, -3906347754441…, 90963878019286…] ≥ 18 trivial 129.44 164.36 12.47 174.58
#4183 [1, -1, 0, -1268740341977…, 14832398592309…] ≥ 18 trivial 130.32 134.82 9.96 143.58
#223 [1, -1, 0, -1382729158078…, 19952277912018…] ≥ 18 trivial 130.47 173.72 13.30 185.30
#224 [1, 0, 1, -6673066689650…, 20937863941408…] ≥ 18 trivial 130.69 190.88 14.79 203.82
#734 [1, 0, 0, -3224767683946…, 70605626370702…] ≥ 18 trivial 130.81 174.69 13.45 187.82
#375 [1, -1, 1, -5294538512342…, 14733383852439…] ≥ 18 trivial 132.48 191.31 14.77 203.12
#737 [1, 0, 0, -2788197723414…, 17936870653793…] ≥ 18 trivial 133.00 208.20 16.27 221.92
#3913 [0, 0, 0, -4166524067493…, 10340681841173…] ≥ 18 trivial 133.25 161.16 12.34 174.77
#146 [1, 0, 1, -5556025348607…, 48509071506063…] ≥ 18 trivial 133.46 172.48 13.14 182.54
#4193 [0, 0, 0, -1693886074426…, 24856451483538…] ≥ 18 trivial 134.06 148.85 11.15 158.26
#4194 [1, 1, 1, -1549270804866…, 65475142420251…] ≥ 18 trivial 137.21 155.94 11.72 164.90
#241 [1, 1, 1, -3002323607176…, 63157734310826…] ≥ 18 trivial 137.34 147.24 11.14 159.97
#102 [1, -1, 1, -3544239687172…, 25619866461531…] ≥ 18 trivial 138.99 182.23 14.06 195.01
#697 [1, 0, 1, -6257697026634…, 49438311480526…] ≥ 18 trivial 139.24 160.51 12.09 169.09
#696 [1, 0, 1, -9546074523488…, 11363356629829…] ≥ 18 trivial 139.81 156.65 11.97 170.35
#4138 [1, -1, 0, -1249877609713…, 16379978983978…] ≥ 18 trivial 140.10 161.08 12.19 171.16
#147 [1, 0, 0, -3043757926484…, 65348316359688…] ≥ 18 trivial 141.22 162.57 12.36 173.85
#4137 [1, 1, 0, -1624610542966…, 25053011057178…] ≥ 18 trivial 141.40 160.07 12.17 171.95
#324 [1, 0, 1, -1000664131356…, 12262133853164…] ≥ 18 trivial 141.65 172.51 13.21 184.32
#94 [1, 0, 0, -5275155636558…, 46558488291896…] ≥ 18 trivial 141.91 196.83 15.29 210.02
#98 [1, -1, 1, -8117883423458…, 30875068238268…] ≥ 18 trivial 142.52 181.54 13.86 190.77
#405 [1, -1, 1, -1654889316573…, 26839119952931…] ≥ 18 trivial 143.64 175.74 13.41 185.89
#87 [1, 1, 1, -1280679737602…, 55128352431001…] ≥ 18 trivial 143.73 180.75 13.87 191.96
#4139 [1, 1, 0, -1414297519753…, 17291015394305…] ≥ 18 trivial 143.94 162.83 12.29 171.53
#732 [1, 0, 1, -7586870943422…, 21935424575188…] ≥ 18 trivial 144.47 167.76 12.70 176.57
#406 [1, -1, 1, -2109725107883…, 37018745916232…] ≥ 18 trivial 146.04 174.89 13.40 186.55
#215 [1, -1, 0, -5096888366016…, 51845518611945…] ≥ 18 trivial 146.80 160.02 12.06 168.79
#233 [1, 0, 0, -4705971343623…, 12429123434853…] ≥ 18 trivial 149.32 173.99 13.47 188.95
#382 [1, -1, 1, -3491794285041…, 24818984665985…] ≥ 18 trivial 149.78 197.57 15.27 208.78
#63 [1, 0, 0, -1718612993735…, 44567762612833…] ≥ 18 ℤ/2ℤ 149.80 295.60 23.33 303.36
#307 [1, 0, 0, -1474705521041…, 68901672366892…] ≥ 18 ℤ/2ℤ 149.80 288.33 22.98 302.90
#407 [1, 0, 1, -3709951130930…, 27719787279462…] ≥ 18 trivial 151.10 169.73 12.97 181.35
#380 [1, 0, 1, -5976631508664…, 48800073540677…] ≥ 18 trivial 151.61 173.91 13.22 182.76
#383 [1, 0, 0, -2027806420493…, 34519698985201…] ≥ 18 trivial 152.05 203.26 15.73 214.06
#408 [1, -1, 0, -2768917408479…, 18845328323416…] ≥ 18 trivial 152.62 184.77 14.15 194.39
#242 [1, 0, 1, -3095262589640…, 21616096889033…] ≥ 18 trivial 153.50 184.39 14.14 194.67
#409 [1, -1, 0, -4446761962800…, 32977686151489…] ≥ 18 trivial 159.47 186.44 14.27 195.69
#3237 [1, 0, 0, -1569482960904…, 75676715828990…] ≥ 18 ℤ/2ℤ 164.34 300.20 24.08 316.91
#3239 [1, 0, 0, -1036384623437…, 10412633142849…] ≥ 18 ℤ/2ℤ 164.34 300.23 23.74 308.75
#73 [1, 0, 0, -1310927671383…, 11513825206543…] ≥ 18 ℤ/2ℤ 164.54 287.68 22.68 295.64
#310 [1, 0, 0, -1873940813132…, 98716542165119…] ≥ 18 ℤ/2ℤ 164.54 288.40 23.02 303.62
#384 [1, 1, 1, -6583856027874…, 78046218014936…] ≥ 18 trivial 166.76 202.41 15.58 211.05
#3233 [1, 0, 0, -6202714082793…, 13295318602026…] ≥ 18 ℤ/2ℤ 172.35 319.79 25.36 327.94
#3235 [1, 0, 0, -5683314401210…, 16489084803631…] ≥ 18 ℤ/2ℤ 172.35 311.92 25.01 327.68
#3232 [1, -1, 1, -5639193550250…, 16287718866634…] ≥ 18 ℤ/2ℤ 173.49 313.66 25.07 327.65
#3236 [1, -1, 1, -4302960497497…, 13378615184009…] ≥ 18 ℤ/2ℤ 173.49 312.31 24.72 319.93
#3723 [1, 0, 0, -3930848753786…, 29157092491487…] ≥ 18 ℤ/2ℤ 177.30 281.68 22.25 292.03
#4023 [1, 0, 0, 11846273771479…, 99664097399755…] ≥ 18 ℤ/2ℤ 177.30 286.98 22.59 294.43
#3229 [1, 0, 0, -1383174634046…, 83630063023303…] ≥ 18 ℤ/2ℤ 188.92 322.65 25.59 330.92
#3230 [1, 0, 0, -1508424869978…, 71299826352455…] ≥ 18 ℤ/2ℤ 188.92 314.67 25.25 330.60
#38 [1, 0, 0, -2617596009270…, 51069381476131…] ≥ 18 ℤ/2ℤ 189.76 341.53 27.28 352.98
#311 [1, 0, 0, -4727234268812…, -4294150883777…] ≥ 18 ℤ/2ℤ 189.76 347.17 27.62 354.75
#505 [1, 0, 1, -2497797449771…, 46349171130280…] ≥ 18 ℤ/2ℤ 191.25 315.09 25.02 325.21
#1997 [1, 0, 1, -2473171297950…, 47340055711440…] ≥ 18 ℤ/2ℤ 191.25 305.00 24.68 325.18
#506 [1, 0, 0, -2594964848240…, 50016117156480…] ≥ 18 ℤ/2ℤ 196.97 328.29 26.15 339.14
#1998 [1, 0, 0, -5450464199885…, -7985404066455…] ≥ 18 ℤ/2ℤ 196.97 333.60 26.50 341.37
#481 [0, 0, 0, -2018433972704…, 12890206002478…] ≥ 18 ℤ/2ℤ 197.40 364.46 29.09 373.23
#504 [1, 0, 0, -1261852208040…, 17207833052907…] ≥ 18 ℤ/2ℤ 216.54 379.53 30.50 392.24
#503 [1, 0, 0, -2828153504755…, 18290495106905…] ≥ 18 ℤ/2ℤ 253.26 443.02 35.84 456.83