Elliptic Curve Rank Leaderboard

Curves with rank lower bound = 15

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showing 77 of 4205 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#811 [1, 1, 0, -1661237516922, 10180211449362…] ≥ 15 trivial 81.57 87.93 6.04 96.45
#812 [1, -1, 0, -438546442624, 12039212549310…] ≥ 15 trivial 82.05 82.75 5.64 92.18
#1226 [1, -1, 0, -1407918189274, 64861954223550…] ≥ 15 trivial 83.34 84.03 5.82 95.55
#466 [1, 0, 1, -1556038331383…, 23661751256860…] ≥ 15 trivial 84.10 103.32 7.50 116.56
#1229 [1, 1, 0, -3452523650433, 25582848489435…] ≥ 15 trivial 84.76 88.16 6.11 98.29
#1230 [1, -1, 0, -2210571130630, 13285977470954…] ≥ 15 trivial 84.86 87.16 6.02 96.98
#1231 [0, 0, 0, -1336053036892, 64884688390810…] ≥ 15 trivial 84.88 86.27 5.93 95.55
#1225 [1, 1, 0, -2785429754167, 90559939620521…] ≥ 15 trivial 85.64 89.83 6.18 97.58
#1227 [1, -1, 0, -2671180080340, 15192879118390…] ≥ 15 trivial 86.00 88.30 6.09 97.45
#1228 [1, -1, 0, -1053711230239, 57387108823915…] ≥ 15 trivial 86.41 87.10 5.96 95.31
#415 [0, 0, 0, -4276705032892…, 33998857246073…] ≥ 15 trivial 90.28 99.24 7.17 112.68
#711 [1, 0, 1, -2224691425238…, 34460003896785…] ≥ 15 trivial 91.48 122.69 8.95 131.44
#148 [1, 0, 0, -8063477980719…, 27871147443545…] ≥ 15 trivial 93.46 132.52 10.10 149.12
#713 [1, 1, 1, -7137486693538…, 73056351883999…] ≥ 15 trivial 94.07 129.71 9.65 141.85
#86 [1, 0, 0, -5284128322984…, -1928191506104…] ≥ 15 trivial 94.13 119.68 8.66 127.13
#730 [0, -1, 0, -8399821783515…, 84637557598554…] ≥ 15 trivial 94.69 119.38 8.68 128.52
#235 [0, 0, 0, -6073700298618…, 17577001762786…] ≥ 15 trivial 96.34 110.52 7.98 120.64
#710 [1, -1, 0, -7298593818992…, 78596077250179…] ≥ 15 trivial 96.41 104.21 7.45 114.36
#757 [1, -1, 1, -1637348438442…, 78079572052975…] ≥ 15 trivial 97.83 154.84 11.67 165.06
#218 [1, 0, 1, -7743343218965…, 18441578642223…] ≥ 15 trivial 99.33 127.05 9.29 135.19
#276 [0, 0, 0, -3173985189420…, 71466484807091…] ≥ 15 trivial 100.53 108.69 7.82 118.77
#712 [1, -1, 1, -1007837936464…, 39082286460118…] ≥ 15 trivial 100.55 109.76 8.00 122.17
#1976 [1, -1, 0, -4737799763193…, 12206432688547…] ≥ 15 ℤ/2ℤ 101.03 178.61 13.66 188.97
#2003 [1, -1, 0, 86172091259736…, 64868313631144…] ≥ 15 ℤ/2ℤ 101.03 175.60 13.31 183.05
#192 [1, 0, 0, -8515564996455…, 94870260230348…] ≥ 15 trivial 103.04 144.61 10.87 156.19
#193 [1, 0, 0, -8732522681340…, 84461015559908…] ≥ 15 trivial 104.44 161.35 12.17 170.09
#194 [0, -1, 0, -1152498815741…, 15103590903163…] ≥ 15 trivial 105.94 130.69 9.76 143.29
#239 [0, -1, 0, -2235939201109…, 40692284642676…] ≥ 15 trivial 109.82 128.79 9.79 145.27
#237 [0, 1, 0, -1651640332674…, 91071592520866…] ≥ 15 trivial 112.30 128.59 9.45 137.68
#3645 [1, -1, 1, -4608554669996…, 11434621030429…] ≥ 15 ℤ/2ℤ 113.04 206.75 15.98 216.52
#4010 [1, -1, 1, 32948675568318…, 46586716650661…] ≥ 15 ℤ/2ℤ 113.04 211.80 16.33 219.23
#3646 [1, 0, 0, -2434121257091…, 46017718934663…] ≥ 15 ℤ/2ℤ 114.31 216.24 16.87 228.42
#4008 [1, 0, 0, -1132980808475…, 95053227636999…] ≥ 15 ℤ/2ℤ 114.31 222.39 17.21 229.86
#3647 [1, 1, 0, -1253726820189…, 53740745571965…] ≥ 15 ℤ/2ℤ 114.37 193.72 14.98 205.71
#4012 [1, 1, 0, -1262685454892…, -3086991656509…] ≥ 15 ℤ/2ℤ 114.37 191.34 14.63 198.82
#3648 [0, 1, 0, -1248869357683…, -4876649751055…] ≥ 15 ℤ/2ℤ 114.72 191.25 14.63 198.79
#4013 [0, 1, 0, -7208738335743…, 73924293996585…] ≥ 15 ℤ/2ℤ 114.72 185.51 14.28 197.14
#3649 [1, 0, 0, -4094004075011…, 91075658316227…] ≥ 15 ℤ/2ℤ 115.70 207.02 15.99 216.17
#4009 [1, 0, 0, -6372841881075…, 61921687077691…] ≥ 15 ℤ/2ℤ 115.70 206.28 16.33 224.40
#3650 [1, 0, 0, -3635332259215…, 84311290079639…] ≥ 15 ℤ/2ℤ 115.90 229.33 18.04 243.44
#4006 [1, 0, 0, -4392076037989…, 46671635543273…] ≥ 15 ℤ/2ℤ 115.90 236.36 18.39 244.01
#3651 [1, -1, 1, -4470017517514…, 11260687883729…] ≥ 15 ℤ/2ℤ 116.45 219.61 17.09 230.25
#4007 [1, -1, 1, 61047107813121…, 35394671499384…] ≥ 15 ℤ/2ℤ 116.45 225.04 17.43 232.49
#3652 [1, 1, 0, -3444468539123…, 18604414657528…] ≥ 15 ℤ/2ℤ 116.99 200.44 15.41 208.74
#4011 [1, 1, 0, -3205515501576…, 22088128131622…] ≥ 15 ℤ/2ℤ 116.99 192.37 15.07 208.53
#1198 [1, 0, 0, -1573649343823…, 75970044777644…] ≥ 15 ℤ/2ℤ 117.06 204.68 16.06 220.21
#2004 [1, 0, 0, -8836282290513…, 14376898779874…] ≥ 15 ℤ/2ℤ 117.06 204.13 15.71 212.27
#3221 [1, 0, 0, 13842139136873…, 23105785877022…] ≥ 15 ℤ/2ℤ 119.24 242.68 18.90 250.06
#3222 [1, 0, 0, -1251964143214…, 49660972193962…] ≥ 15 ℤ/2ℤ 119.24 237.81 18.56 247.15
#3218 [1, 0, 0, -7268192926498…, 37553970569812…] ≥ 15 ℤ/2ℤ 120.61 210.83 16.27 218.80
#3219 [1, 0, 0, -1339794313635…, 18870818293000…] ≥ 15 ℤ/2ℤ 120.61 211.63 16.61 226.63
#3212 [1, 0, 0, -1613802768862…, 26289607011924…] ≥ 15 ℤ/2ℤ 120.87 231.34 18.03 241.11
#3215 [1, 0, 0, -2620313736931…, 16325882483437…] ≥ 15 ℤ/2ℤ 120.87 229.95 18.38 249.37
#238 [1, -1, 1, -2567476684162…, 15844732034607…] ≥ 15 trivial 122.00 152.29 11.63 166.41
#68 [0, 0, 0, 0, 46974552981863…] ≥ 15 trivial 122.91 124.29 9.04 131.75
#305 [0, 0, 0, 0, -1268312930510…] ≥ 15 trivial 122.91 130.88 9.59 138.34
#3210 [1, 0, 1, -2097708172520…, 24677184469813…] ≥ 15 ℤ/2ℤ 124.44 233.75 18.18 241.79
#3214 [1, 0, 1, 59514264095008…, 16838277505767…] ≥ 15 ℤ/2ℤ 124.44 238.11 18.53 244.92
#3208 [1, 0, 0, -1132671854654…, 55462573949226…] ≥ 15 ℤ/2ℤ 127.35 235.08 18.27 242.60
#3211 [1, 0, 0, -2983929072501…, 19792366916126…] ≥ 15 ℤ/2ℤ 127.35 236.95 18.62 249.76
#4 [1, 0, 0, -2098119445112…, 26653992551590…] ≥ 15 trivial 129.44 205.97 15.87 214.16
#3204 [1, 0, 0, -4562085945883…, 37459328429312…] ≥ 15 ℤ/2ℤ 133.22 251.38 19.85 264.85
#3206 [1, 0, 0, -3674595948327…, 21984661761019…] ≥ 15 ℤ/2ℤ 133.22 249.77 19.50 257.29
#220 [1, 0, 0, -1384235320449…, 63557025579745…] ≥ 15 trivial 133.75 153.53 11.59 164.59
#3207 [1, 0, 0, -1945712288815…, 21187283879572…] ≥ 15 ℤ/2ℤ 134.48 227.16 17.62 234.66
#3216 [1, 0, 0, -2360001638573…, 44062209861456…] ≥ 15 ℤ/2ℤ 134.48 228.88 17.97 242.15
#3203 [1, 0, 1, -4558674843837…, 69408437613126…] ≥ 15 ℤ/2ℤ 138.72 236.25 18.39 244.12
#3201 [1, 0, 0, -1276452816330…, 55504281543520…] ≥ 15 ℤ/2ℤ 140.00 244.64 19.44 261.03
#3200 [1, 0, 0, 29606168159245…, 54954419233169…] ≥ 15 ℤ/2ℤ 141.32 258.16 20.19 265.61
#318 [1, 0, 1, -1074047301641…, 48976939778870…] ≥ 15 ℤ/3ℤ 145.16 331.53 26.31 339.06
#36 [1, 0, 1, 34318214642441…, 31843768958141…] ≥ 15 ℤ/2ℤ 147.23 270.88 21.25 278.33
#306 [1, 0, 1, -1906355408328…, 99001560981475…] ≥ 15 ℤ/2ℤ 147.23 265.49 20.91 276.04
#210 [1, 1, 1, -1467803987964…, 59614947549628…] ≥ 15 trivial 155.77 197.31 15.17 206.18
#211 [1, 0, 0, -2164487921238…, 12261011280970…] ≥ 15 trivial 156.31 206.40 16.17 221.16
#207 [1, 0, 0, -3341292704781…, 23590877785029…] ≥ 15 trivial 172.56 210.06 16.36 222.47
#199 [1, 0, 0, -2082020786419…, 36732936589138…] ≥ 15 trivial 182.68 215.81 16.83 227.96
#319 [1, -1, 0, -1478818379630…, 21612333371564…] ≥ 15 ℤ/2ℤ × ℤ/2ℤ 183.53 395.39 31.75 406.53