Elliptic Curve Rank Leaderboard

Curves with rank lower bound = 16

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showing 101 of 4205 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#683 [1, -1, 1, -3980003539856…, 14278165486418…] ≥ 16 trivial 98.07 125.71 9.17 133.19
#682 [1, 0, 0, -3180985009490…, 21842327450443…] ≥ 16 trivial 100.12 138.18 10.50 153.24
#4042 [1, -1, 1, -5555448749404…, 17067574579725…] ≥ 16 trivial 101.95 124.82 9.15 134.33
#141 [1, -1, 1, -6254103958828…, 19264446237794…] ≥ 16 trivial 101.99 150.99 11.39 162.20
#4181 [1, -1, 0, -1898224561265…, 30797071320612…] ≥ 16 trivial 102.04 106.95 7.68 117.15
#4184 [1, -1, 0, -1019402439308…, 12645004805360…] ≥ 16 trivial 103.17 103.86 7.47 115.31
#4175 [0, -1, 0, -9103516565995…, 10562164596013…] ≥ 16 trivial 103.27 142.66 10.80 156.39
#4174 [1, -1, 1, -3448533269717…, 22440238307305…] ≥ 16 trivial 103.34 141.11 10.44 148.69
#708 [0, -1, 0, -1116967888345…, 16973991578891…] ≥ 16 trivial 104.03 148.63 11.11 157.34
#709 [1, -1, 1, -5601577808704…, 46624093905548…] ≥ 16 trivial 104.39 145.68 10.88 154.94
#706 [1, 1, 0, -3944737570086…, 86140454424768…] ≥ 16 trivial 105.68 124.02 9.07 133.16
#4173 [0, 1, 0, -1940650088244…, 35342204887178…] ≥ 16 trivial 106.24 135.52 10.04 144.99
#4185 [1, -1, 0, -7371127095378…, 24523606486916…] ≥ 16 trivial 106.58 109.47 7.95 121.24
#4147 [1, 0, 1, -2345682081170…, 13945939688299…] ≥ 16 trivial 106.65 126.99 9.40 138.53
#4148 [1, -1, 1, -6758437112646…, 20509500554887…] ≥ 16 trivial 106.98 138.62 10.31 148.59
#4172 [1, -1, 1, -2507090808474…, 40784387500255…] ≥ 16 trivial 107.02 133.07 9.77 140.67
#3810 [1, -1, 1, -9646294246971…, 61409182828693…] ≥ 16 trivial 107.40 148.78 11.10 156.57
#3603 [1, -1, 1, -4436141870069…, 98513667991088…] ≥ 16 trivial 107.48 166.12 12.57 174.96
#104 [0, 0, 0, -2877601677369…, 19025737102846…] ≥ 16 trivial 107.50 114.18 8.32 125.33
#3809 [1, 0, 0, -1139640908065…, 47583450462694…] ≥ 16 trivial 107.67 153.10 11.55 164.01
#4144 [1, 0, 1, -3467619266693…, 10961013262779…] ≥ 16 trivial 108.77 125.26 9.14 133.44
#705 [1, 1, 0, -3063678476597…, 52804619400469…] ≥ 16 trivial 108.84 123.89 9.04 132.40
#707 [0, -1, 0, -6259638613734…, 18642918451357…] ≥ 16 trivial 109.69 123.96 9.11 134.55
#704 [0, 1, 0, -2787721411725…, 56713426965241…] ≥ 16 trivial 110.72 118.52 8.79 132.12
#4146 [1, 0, 0, -1940873762249…, 10422230828117…] ≥ 16 trivial 110.93 124.63 9.28 137.95
#3911 [1, 1, 0, -7523735096714…, -2634878899180…] ≥ 16 trivial 111.88 134.55 9.90 142.01
#167 [1, -1, 1, -4322087140978…, 11321887318127…] ≥ 16 trivial 114.55 150.98 11.35 161.14
#4145 [1, 1, 1, -4825089983176…, 15248542993974…] ≥ 16 trivial 115.03 125.39 9.17 134.10
#168 [1, 0, 0, -1749969305205…, 24444545444646…] ≥ 16 trivial 115.14 177.13 13.49 185.99
#4156 [1, -1, 0, -1779904281852…, 91359857457198…] ≥ 16 trivial 117.34 123.17 9.22 137.68
#93 [1, 0, 0, -2888333461706…, 69181091953326…] ≥ 16 trivial 118.19 151.33 11.33 160.15
#169 [0, 1, 0, -1253916882048…, 54040913415204…] ≥ 16 trivial 118.31 147.87 11.37 164.26
#217 [1, -1, 0, -5392334889373…, 15240817506986…] ≥ 16 trivial 118.78 143.62 11.11 161.73
#170 [1, 1, 1, -1002421447003…, 12481234946887…] ≥ 16 trivial 119.20 146.10 10.96 156.73
#3544 [0, -1, 0, -5405031090996…, 48199423486082…] ≥ 16 ℤ/2ℤ 119.29 197.66 15.33 210.09
#3546 [0, -1, 0, -2852685544659…, 93841331888016…] ≥ 16 ℤ/2ℤ 119.29 203.92 15.68 211.42
#4155 [1, 0, 1, -5392297177468…, 10726439644583…] ≥ 16 trivial 120.04 125.96 9.20 134.10
#820 [0, 1, 0, -1614852809997…, 25084698427586…] ≥ 16 trivial 120.24 132.09 9.85 144.31
#171 [1, 0, 0, -2430331277948…, 46065726780475…] ≥ 16 trivial 120.27 159.56 12.21 173.16
#172 [1, -1, 1, -1459322281852…, 22189248867258…] ≥ 16 trivial 120.68 161.50 12.23 171.69
#173 [1, 1, 1, -2834094933042…, 18363501622562…] ≥ 16 trivial 120.80 163.44 12.71 180.52
#174 [1, -1, 0, -2235680741254…, 12832599367576…] ≥ 16 trivial 122.41 167.11 12.79 179.81
#91 [1, 1, 0, -6540850922519…, -1851537704759…] ≥ 16 trivial 123.84 134.05 9.86 141.59
#3523 [1, 1, 1, -9216780967867…, 33822940405248…] ≥ 16 ℤ/2ℤ 124.92 220.68 17.22 232.42
#3524 [1, 1, 1, -3111217364592…, 77951581225708…] ≥ 16 ℤ/2ℤ 124.92 226.61 17.56 234.07
#175 [1, 0, 0, -2912632959608…, 62423713413815…] ≥ 16 trivial 125.13 177.32 13.55 187.58
#236 [0, 0, 0, -4016926442136…, 20620924859313…] ≥ 16 trivial 125.19 159.72 12.01 167.76
#176 [1, -1, 1, -3945740361744…, 29952368094157…] ≥ 16 trivial 126.20 155.99 11.83 167.70
#3527 [1, 1, 1, 35625522807929…, 10705546828242…] ≥ 16 ℤ/2ℤ 126.76 229.18 17.79 236.47
#3529 [1, 1, 1, -9713478764873…, 13934495013154…] ≥ 16 ℤ/2ℤ 126.76 224.97 17.44 232.57
#177 [1, 0, 0, -6002261379293…, 56433748756196…] ≥ 16 trivial 127.24 156.37 11.89 168.96
#178 [1, -1, 1, -2319335225418…, 13598277174623…] ≥ 16 trivial 127.71 178.50 13.86 193.74
#179 [1, 1, 1, -5156525671696…, 14388758042202…] ≥ 16 trivial 127.84 150.19 11.33 161.62
#180 [1, 0, 0, -1968021916331…, 32257087916682…] ≥ 16 trivial 129.11 162.52 12.31 172.52
#317 [1, 0, 0, -4315862856022…, 10790462918687…] ≥ 16 trivial 130.29 149.81 11.29 161.06
#3653 [1, 0, 0, -7012573928425…, 22474301246676…] ≥ 16 ℤ/2ℤ 131.97 219.66 17.14 231.60
#4017 [1, 0, 0, -1141865506832…, -9167608505731…] ≥ 16 ℤ/2ℤ 131.97 225.57 17.49 233.06
#181 [1, 0, 0, -3994635920327…, 10060897392188…] ≥ 16 trivial 132.21 150.74 11.33 160.90
#3486 [1, 1, 1, -3575852680171…, 78511122853996…] ≥ 16 ℤ/2ℤ 132.27 247.35 19.37 257.21
#4015 [1, 1, 1, -1019188320158…, -2957900894242…] ≥ 16 ℤ/2ℤ 132.27 252.08 19.72 260.35
#3654 [1, 0, 0, -7447861449700…, 78133085784531…] ≥ 16 ℤ/2ℤ 132.64 239.09 18.82 252.50
#4016 [1, 0, 0, -9653012624918…, 28070442893659…] ≥ 16 ℤ/2ℤ 132.64 245.76 19.17 253.28
#3655 [1, 0, 0, -2706381903778…, 53529269933708…] ≥ 16 ℤ/2ℤ 132.79 231.38 18.09 242.56
#4014 [1, 0, 0, -3390104022415…, 14395024788791…] ≥ 16 ℤ/2ℤ 132.79 237.06 18.43 244.51
#3487 [1, -1, 1, -1978662656511…, 19547913950717…] ≥ 16 ℤ/2ℤ 133.71 233.76 18.18 241.62
#182 [1, 0, 0, -7055924819678…, 22806853038273…] ≥ 16 trivial 133.99 202.79 15.88 217.80
#183 [1, 1, 1, -3232021975415…, 22065614348458…] ≥ 16 trivial 134.52 183.65 14.11 194.73
#184 [1, 1, 1, -1169167431674…, 15401506519118…] ≥ 16 trivial 134.57 184.84 14.32 198.59
#185 [1, 0, 0, -1392638906885…, 18667175679332…] ≥ 16 trivial 135.02 175.80 13.40 185.30
#3471 [1, 0, 1, -3501180341006…, 79718109217596…] ≥ 16 ℤ/2ℤ 135.05 242.13 19.16 257.14
#3489 [1, 0, 0, -2653537278084…, 52377999300372…] ≥ 16 ℤ/2ℤ 135.23 230.32 18.04 242.50
#186 [1, -1, 1, -4333759863456…, 10799819135615…] ≥ 16 trivial 135.64 164.02 12.46 174.89
#46 [0, 0, 1, 0, -4894683839134…] ≥ 16 trivial 136.20 142.79 10.58 150.25
#64 [0, 0, 1, 0, 18128458663461…] ≥ 16 trivial 136.20 136.20 10.03 143.66
#2147 [1, 0, 0, -5434530300889…, 48746430388378…] ≥ 16 ℤ/2ℤ 137.33 236.81 18.70 251.56
#2159 [1, 0, 0, -8694423726071…, 31203931535373…] ≥ 16 ℤ/2ℤ 137.33 230.39 19.05 259.87
#303 [1, -1, 1, -1441840644112…, 57413576853372…] ≥ 16 trivial 137.39 155.87 11.71 164.68
#3488 [1, -1, 1, -1433531895173…, 31941409442865…] ≥ 16 ℤ/2ℤ 137.98 233.17 18.12 240.65
#1100 [1, 0, 0, 88871190402766…, 39846859243544…] ≥ 16 ℤ/2ℤ 139.10 245.72 19.17 253.03
#2001 [1, 0, 0, -2402337110502…, 51657476116291…] ≥ 16 ℤ/2ℤ 139.10 241.51 18.82 249.11
#1975 [1, 0, 0, -5793524243061…, -5730584452758…] ≥ 16 ℤ/2ℤ 141.34 251.08 19.62 258.66
#2002 [1, 0, 0, -3221870882255…, 69750098909627…] ≥ 16 ℤ/2ℤ 141.34 245.43 19.27 256.89
#3226 [1, 0, 1, -3432055965319…, 61269756155614…] ≥ 16 ℤ/2ℤ 142.13 234.83 18.28 243.27
#3227 [1, 0, 1, -5167122933105…, 45205967736623…] ≥ 16 ℤ/2ℤ 142.13 234.90 18.63 251.40
#3223 [1, 0, 0, -1465418936983…, 19008878679275…] ≥ 16 ℤ/2ℤ 145.48 259.40 20.35 268.35
#3225 [1, 0, 0, 22461831362529…, 99681757298539…] ≥ 16 ℤ/2ℤ 145.48 264.11 20.69 271.41
#188 [1, 0, 0, -5018014340458…, 13880560562181…] ≥ 16 trivial 146.36 178.16 13.65 189.18
#191 [1, 0, 0, -6092326288167…, 18243575053562…] ≥ 16 trivial 155.34 218.68 17.08 231.18
#487 [1, 0, 0, -1622978806074…, 22311725746775…] ≥ 16 ℤ/2ℤ 172.84 325.29 25.79 332.88
#213 [1, 0, 0, -7454077345019…, 24406669293963…] ≥ 16 trivial 175.04 220.79 17.20 231.78
#488 [1, 1, 1, -1217797688174…, 15685515258825…] ≥ 16 ℤ/2ℤ 183.44 326.89 26.00 336.87
#379 [0, 1, 0, -6518816843212…, 61687014344042…] ≥ 16 trivial 183.83 200.58 15.48 210.65
#528 [1, -1, 1, -3740245850108…, 79533615237633…] ≥ 16 ℤ/2ℤ 193.19 331.09 26.33 340.24
#486 [1, -1, 1, -6829211946345…, 68219554456710…] ≥ 16 ℤ/2ℤ 202.19 351.02 28.08 362.76
#527 [1, -1, 1, -7542656338846…, 78468443077032…] ≥ 16 ℤ/2ℤ 204.10 379.78 30.44 390.69
#483 [1, 0, 0, -2685802533025…, 53369999163244…] ≥ 16 ℤ/2ℤ 209.19 368.36 29.55 380.69
#489 [1, 0, 0, -5216065827416…, 45661631270513…] ≥ 16 ℤ/2ℤ 209.85 349.71 27.99 361.96
#484 [1, 0, 0, -3384639411361…, 74293935017700…] ≥ 16 ℤ/2ℤ 211.04 384.50 30.83 395.20
#490 [1, 0, 0, -6821191145727…, 21586195863974…] ≥ 16 ℤ/2ℤ 215.46 357.50 28.64 369.67
#482 [1, -1, 1, -5783251866037…, 16566356737338…] ≥ 16 ℤ/2ℤ 220.68 372.37 29.81 382.99
#485 [1, -1, 1, -7401252242203…, 76971090575512…] ≥ 16 ℤ/2ℤ 224.85 365.07 29.25 376.82