Elliptic Curve Rank Leaderboard

Curves with rank lower bound = 20

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showing 97 of 4205 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#631 [1, 0, 0, -4283778575303…, 29497464752795…] ≥ 20 trivial 139.02 186.75 14.29 195.58
#3563 [1, 0, 1, -1245160038830…, 16924795101824…] ≥ 20 trivial 140.56 157.23 12.03 171.15
#576 [0, 0, 1, -2286810610450…, 41652066806095…] ≥ 20 trivial 144.06 175.46 13.43 186.79
#3615 [1, 0, 1, -7146369925765…, 72919163662538…] ≥ 20 trivial 145.33 171.75 13.13 183.30
#3915 [1, 0, 0, -4264798624262…, 33721476931318…] ≥ 20 trivial 147.68 211.19 16.44 223.20
#532 [0, 1, 0, -1859482717558…, 30757232937977…] ≥ 20 trivial 148.79 201.36 15.64 213.80
#3891 [1, 0, 0, -1466639293608…, 22068302031556…] ≥ 20 trivial 149.69 216.28 16.81 226.94
#245 [1, -1, 1, -2588041147235…, 16066636977479…] ≥ 20 trivial 150.67 195.16 15.13 207.89
#3888 [1, -1, 1, -5673102070833…, 16184597021656…] ≥ 20 trivial 150.79 192.42 14.83 203.33
#1966 [0, -1, 0, -1164629707839…, 15147197885324…] ≥ 20 trivial 151.07 187.19 14.41 198.58
#3890 [1, -1, 1, -3180500270674…, 21700196925689…] ≥ 20 trivial 151.60 210.44 16.37 222.32
#3889 [1, -1, 1, -2054691654614…, 36397308322812…] ≥ 20 trivial 151.64 216.98 16.88 227.94
#1969 [0, 1, 0, -8604128000645…, 30945496309682…] ≥ 20 trivial 152.23 206.73 16.05 218.41
#735 [1, 0, 0, -1227767750695…, 52639535092266…] ≥ 20 trivial 152.57 221.28 17.28 233.29
#262 [1, -1, 1, -2106587108001…, 11928388164896…] ≥ 20 trivial 154.61 196.21 15.15 207.29
#1968 [1, 1, 1, -5890255592483…, 22998209106529…] ≥ 20 trivial 155.12 209.51 16.17 217.82
#758 [1, 0, 0, -4659208505549…, 38723390289136…] ≥ 20 trivial 155.14 208.78 16.36 223.46
#1967 [1, 0, 0, -5827131715135…, 39046976158471…] ≥ 20 trivial 156.23 202.13 15.55 210.32
#1965 [0, 0, 0, -6388055151692…, 63584626953745…] ≥ 20 trivial 158.24 186.26 14.30 196.82
#419 [1, 0, 0, -2440374636485…, 46771399861468…] ≥ 20 trivial 158.46 216.84 16.89 228.45
#499 [0, 0, 0, -1527601939027…, 22645025924456…] ≥ 20 trivial 159.07 188.40 14.50 199.39
#733 [1, 1, 1, -4092116727688…, 11072192069362…] ≥ 20 trivial 159.50 193.32 14.85 202.54
#92 [1, 1, 1, -4437412060110…, 35868422168221…] ≥ 20 trivial 159.93 210.76 16.43 223.32
#429 [1, -1, 1, -3548379898700…, 25962449845551…] ≥ 20 trivial 160.07 211.19 16.42 222.66
#420 [1, 0, 0, -1819422319095…, 99794633909955…] ≥ 20 trivial 160.27 224.85 17.49 234.57
#430 [1, 0, 0, -1058543411123…, 13004863393089…] ≥ 20 trivial 160.56 242.82 19.02 253.56
#275 [1, 0, 1, -2034488389107…, 35847670110541…] ≥ 20 trivial 162.64 189.29 14.57 200.28
#243 [1, 0, 1, -7911987478128…, 29167873598527…] ≥ 20 trivial 163.70 208.85 16.15 218.29
#533 [1, 0, 1, -1266487529831…, 16706282943794…] ≥ 20 trivial 164.36 188.75 14.49 198.83
#226 [1, 0, 0, -5332481796538…, 15260056923094…] ≥ 20 trivial 164.52 220.01 17.12 230.81
#421 [0, 1, 0, -9174555732805…, 10766496995514…] ≥ 20 trivial 165.77 213.71 16.64 225.51
#431 [0, 1, 0, -4213562206349…, 10587746666051…] ≥ 20 trivial 166.60 218.15 17.01 230.08
#445 [1, 0, 0, -9087268318217…, 10534068423995…] ≥ 20 trivial 166.90 239.35 18.86 253.10
#449 [1, 0, 0, -4598555976487…, 84640033039127…] ≥ 20 trivial 168.19 222.19 17.22 230.33
#340 [1, -1, 0, -4478863882000…, 11480846456140…] ≥ 20 trivial 169.51 190.54 14.72 202.62
#454 [1, 0, 0, -1312351629216…, 57806195890871…] ≥ 20 trivial 169.67 219.84 17.23 233.48
#567 [1, -1, 1, -2127038624691…, 11517299575092…] ≥ 20 trivial 170.08 183.36 14.05 193.48
#7 [1, 0, 0, -4310929807663…, 51562835553666…] ≥ 20 trivial 170.09 229.81 17.85 237.85
#621 [1, 1, 1, -3144313531552…, 21460313928164…] ≥ 20 trivial 170.50 229.96 18.41 249.91
#463 [1, 0, 0, -4682646150937…, 11866065387776…] ≥ 20 trivial 171.29 234.15 18.28 244.20
#465 [1, -1, 1, -1081299566142…, 13444054816725…] ≥ 20 trivial 172.10 229.00 17.87 239.80
#355 [0, 0, 0, -2528553115672…, 49319408860526…] ≥ 20 trivial 173.46 244.55 19.20 256.18
#448 [1, 0, 0, -7449400621708…, 77869597736394…] ≥ 20 trivial 174.42 240.43 18.88 252.50
#329 [1, 1, 1, -1657581664797…, 25996833738682…] ≥ 20 trivial 174.46 213.41 16.71 227.27
#455 [0, 1, 0, -5111853193370…, 43560254092118…] ≥ 20 trivial 174.90 240.73 18.85 251.37
#451 [1, 0, 0, -1253145795119…, 51579652249629…] ≥ 20 trivial 175.68 223.45 17.38 233.34
#327 [1, 0, 0, -2622455522825…, 44358788730180…] ≥ 20 trivial 175.69 247.49 19.35 256.28
#328 [1, 1, 1, -1738637644733…, 88314544781539…] ≥ 20 trivial 176.47 220.49 17.29 234.32
#447 [1, 0, 0, -8223603166187…, 28942341419739…] ≥ 20 trivial 176.51 234.34 18.35 245.91
#456 [1, 0, 0, -1205908701884…, 14443705704500…] ≥ 20 trivial 177.68 231.05 17.99 240.13
#462 [1, 0, 0, -5831269123044…, 13392429571165…] ≥ 20 trivial 177.92 236.46 18.42 244.86
#440 [1, 0, 0, -2519996755099…, 56079773175596…] ≥ 20 trivial 179.07 247.58 19.36 256.44
#452 [1, 0, 0, -5500020650354…, 52966771503147…] ≥ 20 trivial 180.46 242.16 18.93 251.72
#386 [1, 0, 0, -1959597671778…, 31215574828451…] ≥ 20 trivial 182.83 232.06 18.08 241.59
#464 [1, 0, 0, -3540160526446…, 80481020268953…] ≥ 20 trivial 183.40 259.31 20.43 270.99
#4124 [1, 0, 0, -3008493699994…, 20084977696520…] ≥ 20 ℤ/2ℤ 184.41 353.51 28.74 374.12
#4125 [1, 0, 0, -3032638279143…, 19746203858984…] ≥ 20 ℤ/2ℤ 184.41 363.81 29.09 374.15
#446 [1, -1, 0, -1342601048927…, 18899547549448…] ≥ 20 trivial 184.82 227.41 17.83 240.45
#438 [0, 1, 0, -2664397989090…, 16659371198868…] ≥ 20 trivial 185.01 237.31 18.62 249.42
#282 [0, 1, 0, -7243925927858…, 71180727803339…] ≥ 20 trivial 185.17 228.85 17.82 238.60
#437 [1, 0, 1, -2046187443144…, 11275547294269…] ≥ 20 trivial 185.24 234.80 18.49 248.63
#4126 [1, 1, 1, -1493417539891…, 70182813171693…] ≥ 20 ℤ/2ℤ 185.51 316.79 25.32 330.57
#4127 [1, 1, 1, -1861324862377…, 32957342268366…] ≥ 20 ℤ/2ℤ 185.51 323.66 25.66 331.23
#450 [1, 0, 0, -2010468055035…, 23314207811821…] ≥ 20 trivial 186.39 233.61 18.17 241.66
#453 [1, 0, 0, -9477222977104…, 10741271823987…] ≥ 20 trivial 189.08 229.49 17.88 239.41
#4112 [1, 0, 0, -6250228875840…, 52753452389369…] ≥ 20 ℤ/2ℤ 189.09 353.58 28.19 362.50
#4113 [1, 0, 0, -9655018350892…, 36514844378786…] ≥ 20 ℤ/2ℤ 189.09 353.09 28.54 370.71
#4079 [1, -1, 1, -2378435901085…, 11871098670888…] ≥ 20 ℤ/2ℤ 190.60 350.92 27.96 359.60
#4080 [1, -1, 1, -3634658042725…, 84339127251430…] ≥ 20 ℤ/2ℤ 190.60 350.70 28.31 367.78
#459 [1, 0, 0, -1928281706386…, 10412727745428…] ≥ 20 trivial 192.24 250.93 19.72 262.28
#4110 [0, 1, 0, -3298135651449…, -5527823704103…] ≥ 20 ℤ/2ℤ 192.29 339.25 26.96 346.77
#4111 [0, 1, 0, -3147444400185…, 67517856203171…] ≥ 20 ℤ/2ℤ 192.29 341.74 27.31 353.53
#4106 [1, -1, 1, -2778651284357…, 56051416651443…] ≥ 20 ℤ/2ℤ 192.44 355.06 28.42 366.98
#4107 [1, -1, 1, -1091761463896…, 12342076216748…] ≥ 20 ℤ/2ℤ 192.44 361.07 28.77 368.54
#4108 [1, 0, 0, -9882697330631…, 39846882748632…] ≥ 20 ℤ/2ℤ 193.61 344.92 27.43 352.47
#4109 [1, 0, 0, -2457618528259…, 14800284758957…] ≥ 20 ℤ/2ℤ 193.61 346.70 27.77 359.70
#4072 [1, -1, 1, -8676766356775…, 31108845308574…] ≥ 20 ℤ/2ℤ 195.26 364.54 29.61 384.21
#4073 [1, -1, 1, -8565250670166…, 31947384642773…] ≥ 20 ℤ/2ℤ 195.26 374.37 29.96 384.26
#435 [1, 0, 0, -4912078235647…, 13413225629897…] ≥ 20 trivial 198.23 247.00 19.39 258.18
#4074 [1, 0, 0, -6373524210489…, 19568234964109…] ≥ 20 ℤ/2ℤ 199.48 369.44 29.71 383.28
#4075 [1, 0, 0, -4934750083481…, 14866495631511…] ≥ 20 ℤ/2ℤ 199.48 368.02 29.36 375.61
#4063 [1, -1, 1, -3611038765921…, 22818917951506…] ≥ 20 ℤ/2ℤ 201.67 365.84 29.21 374.67
#4064 [1, -1, 1, -5556504497393…, 15941909013456…] ≥ 20 ℤ/2ℤ 201.67 365.46 29.56 382.87
#4078 [1, 0, 0, -1240660412230…, 53175884514971…] ≥ 20 ℤ/2ℤ 206.39 342.63 27.53 357.65
#4082 [1, 0, 0, -1404603265027…, 38222115369149…] ≥ 20 ℤ/2ℤ 206.39 350.13 27.88 358.02
#4083 [1, 0, 0, -1469442246932…, 68541572760905…] ≥ 20 ℤ/2ℤ 206.93 357.04 28.73 371.97
#4084 [1, 0, 0, -1045076954961…, 75641504467573…] ≥ 20 ℤ/2ℤ 206.93 356.17 28.38 364.04
#4061 [1, 0, 0, -6387039322288…, -2000682293681…] ≥ 20 ℤ/2ℤ 207.96 355.00 28.28 362.56
#4062 [1, 0, 0, -3593975211501…, 25998463263987…] ≥ 20 ℤ/2ℤ 207.96 349.32 27.93 360.84
#802 [1, 0, 0, -2918870306905…, 19149137396656…] ≥ 20 ℤ/2ℤ 208.23 361.21 28.97 374.03
#1992 [1, 0, 0, -1779353550079…, 34258366504667…] ≥ 20 ℤ/2ℤ 208.23 367.66 29.32 375.19
#4070 [1, 0, 1, -4413954289751…, 32412073255594…] ≥ 20 ℤ/2ℤ 209.05 376.70 30.08 384.29
#4071 [1, 0, 1, -1028059201791…, 12668424643103…] ≥ 20 ℤ/2ℤ 209.05 378.36 30.42 391.62
#4059 [1, 0, 0, -3251469747483…, 49107828061327…] ≥ 20 ℤ/2ℤ 209.58 373.17 29.80 381.26
#4060 [1, 0, 0, 89321413964676…, 33020401925829…] ≥ 20 ℤ/2ℤ 209.58 377.55 30.15 384.33
#40 [1, -1, 1, -2445376733363…, 96171018205318…] ≥ 20 ℤ/2ℤ 216.79 393.12 31.46 401.13
#313 [1, -1, 1, -2201688153834…, 12571948427558…] ≥ 20 ℤ/2ℤ 216.79 385.44 31.12 400.82