Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 18

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showing 124 of 413 curves Download the database (JSON) ↓
curve a-invariants rank log N naive height Faltings height log |Δ|
#302 [1, 1, 1, -1284727764113…, 56036832145426…] ≥ 31 375.22 468.28 36.74 453.05
#385 [1, -1, 1, -3318274966744…, 23228532820536…] ≥ 29 345.65 443.49 34.75 430.29
#12 [1, 0, 0, -2700618324163…, 55258058551342…] ≥ 29 343.72 436.01 34.24 425.44
#273 [1, 0, 0, -2017690352604…, 11511079391410…] ≥ 30 339.35 442.09 34.77 432.12
#11 [1, -1, 1, -2006776241557…, 34481611795030…] ≥ 28 325.90 393.63 30.62 381.20
#356 [0, 1, 0, -2439187674471…, 46943906433780…] ≥ 29 317.89 394.24 30.73 383.07
#403 [1, 0, 0, -4789549597347…, 40388950701005…] ≥ 28 313.99 389.33 30.22 375.75
#404 [1, 0, 0, -1928799613292…, 98335186873093…] ≥ 27 309.03 372.79 29.00 362.93
#364 [1, 1, 1, -1307500861006…, 18384836769279…] ≥ 28 307.81 378.55 29.41 367.20
#399 [1, 0, 0, -1122638888418…, 45019426548276…] ≥ 29 306.00 412.61 32.27 401.75
#398 [1, 0, 0, -1289259977445…, 56075504634839…] ≥ 30 304.98 413.03 32.25 400.92
#391 [1, 0, 0, -2533580830669…, 15818917486191…] ≥ 28 300.43 401.27 31.33 390.53
#395 [1, -1, 1, -1571436138788…, 74572864524469…] ≥ 28 297.51 385.99 30.05 375.11
#67 [1, 0, 0, -5567114686524…, 16198189532278…] ≥ 27 287.01 355.27 27.48 344.16
#400 [1, 0, 0, -2847874483810…, 58635720945607…] ≥ 28 274.49 367.05 28.39 354.25
#363 [1, 0, 1, -7778486110551…, 97293729940243…] ≥ 27 265.17 335.83 25.98 327.04
#401 [0, 0, 0, -9462421028937…, 35673551381852…] ≥ 27 258.76 315.40 24.13 303.66
#390 [0, 0, 0, -3430010766159…, 26817639167403…] ≥ 26 248.04 305.62 23.43 296.39
#66 [1, 0, 0, -2715681648014…, 16735233520457…] ≥ 26 247.86 318.55 24.46 308.22
#402 [1, -1, 1, -1272607077445…, 17471855868336…] ≥ 27 247.24 350.82 26.94 335.00
#393 [1, -1, 1, -1741982199429…, 33616270057492…] ≥ 26 246.56 324.49 25.04 315.86
#396 [0, 1, 0, -6189212217027…, 14121721321765…] ≥ 25 238.98 293.39 22.51 285.88
#65 [1, 0, 0, -1222583105876…, 52396744720020…] ≥ 25 229.19 302.36 23.05 290.63
#351 [1, -1, 1, -2509189159341…, 45913507617476…] ≥ 25 225.72 297.59 22.74 287.83
#10 [1, 0, 1, -1200398220369…, 50422499248491…] ≥ 24 219.93 274.66 20.71 262.35
#40 [1, -1, 1, -2445376733363…, 96171018205318…] ≥ 20 216.79 401.13 31.46 393.12
#378 [0, 1, 0, -3896830274733…, 93850226586476…] ≥ 24 214.70 285.10 21.56 272.28
#389 [1, 0, 0, -1095282788134…, 15295153953560…] ≥ 24 211.82 281.47 21.42 272.23
#413 [1, 0, 0, -6128282860470…, 58524346082432…] ≥ 24 209.87 265.74 19.95 252.88
#9 [1, 0, 1, -1925296640867…, 32685500727716…] ≥ 23 205.06 269.18 20.27 257.15
#74 [1, 1, 1, -2158437724224…, -1947436127778…] ≥ 21 196.68 255.69 19.36 247.94
#39 [1, -1, 1, 31368015812338…, 30203880269856…] ≥ 19 192.85 342.70 26.62 335.25
#377 [0, 1, 0, -5458253078691…, 15550812048772…] ≥ 23 192.36 272.30 20.49 259.27
#397 [1, 0, 1, -4143582771172…, 40810549011543…] ≥ 22 191.71 237.38 17.79 228.93
#38 [1, 0, 0, -2617596009270…, 51069381476131…] ≥ 18 189.76 352.98 27.28 341.53
#304 [1, 0, 0, -1998675662524…, 34278416330918…] ≥ 22 188.12 241.65 17.96 229.17
#282 [0, 1, 0, -7243925927858…, 71180727803339…] ≥ 20 185.17 238.60 17.82 228.85
#387 [1, -1, 1, -1008664620257…, 12314457652529…] ≥ 21 184.49 253.41 18.90 239.98
#410 [1, -1, 1, -5170975719143…, 45175663847032…] ≥ 21 184.12 237.59 17.60 224.53
#386 [1, 0, 0, -1959597671778…, 31215574828451…] ≥ 20 182.83 241.59 18.08 232.06
#8 [1, 0, 1, -9402995177763…, 10707363070719…] ≥ 22 182.72 239.38 17.87 229.26
#412 [1, 0, 0, -3076118474164…, 22905024024726…] ≥ 21 178.43 236.23 17.65 227.05
#286 [1, -1, 1, -1152569102849…, 18833323594165…] ≥ 21 177.88 226.63 16.89 218.15
#343 [1, -1, 1, -4328588152353…, 10961498966678…] ≥ 19 176.62 230.15 16.79 211.30
#328 [1, 1, 1, -1738637644733…, 88314544781539…] ≥ 20 176.47 234.32 17.29 220.49
#342 [1, 1, 1, -1391553064700…, 63223760170886…] ≥ 19 175.94 219.84 16.08 205.74
#327 [1, 0, 0, -2622455522825…, 44358788730180…] ≥ 20 175.69 256.28 19.35 247.49
#329 [1, 1, 1, -1657581664797…, 25996833738682…] ≥ 20 174.46 227.27 16.71 213.41
#297 [1, -1, 1, -1020568041189…, 12353237625156…] ≥ 19 174.17 253.45 19.01 242.52
#355 [0, 0, 0, -2528553115672…, 49319408860526…] ≥ 20 173.46 256.18 19.20 244.55
#285 [0, -1, 0, -1083918045849…, 13755098120758…] ≥ 21 173.25 212.18 15.47 198.87
#339 [1, 1, 0, -4918297554360…, 13244459911694…] ≥ 19 172.91 216.72 15.87 203.92
#376 [1, 0, 0, -1445990013167…, 21128721995181…] ≥ 22 170.96 240.68 17.85 227.51
#293 [1, -1, 0, -5903488565485…, 55188035745958…] ≥ 19 170.67 224.17 16.42 209.54
#7 [1, 0, 0, -4310929807663…, 51562835553666…] ≥ 20 170.09 237.85 17.85 229.81
#340 [1, -1, 0, -4478863882000…, 11480846456140…] ≥ 20 169.51 202.62 14.72 190.54
#295 [1, 0, 1, -1737623861410…, 27567969093931…] ≥ 19 167.11 227.41 16.82 216.15
#384 [1, 1, 1, -6583856027874…, 78046218014936…] ≥ 18 166.76 211.05 15.58 202.41
#394 [1, 0, 0, -3548030896746…, 25581945458922…] ≥ 21 166.25 236.46 17.54 224.49
#291 [1, 0, 0, -3235689396243…, 70815900914955…] ≥ 19 165.75 229.28 16.85 214.65
#381 [1, -1, 0, -1098236516565…, 13881034132195…] ≥ 19 165.15 212.22 15.55 200.75
#73 [1, 0, 0, -1310927671383…, 11513825206543…] ≥ 18 164.54 295.64 22.68 287.68
#226 [1, 0, 0, -5332481796538…, 15260056923094…] ≥ 20 164.52 230.81 17.12 220.01
#243 [1, 0, 1, -7911987478128…, 29167873598527…] ≥ 20 163.70 218.29 16.15 208.85
#275 [1, 0, 1, -2034488389107…, 35847670110541…] ≥ 20 162.64 200.28 14.57 189.29
#337 [1, 0, 0, -1622682797685…, 41794466887288…] ≥ 19 162.63 234.11 17.56 226.34
#388 [1, 0, 0, -2271278066069…, 41395746156416…] ≥ 19 162.61 228.22 16.86 216.40
#335 [1, -1, 1, -1096484663303…, 14831224909223…] ≥ 19 162.14 212.33 15.64 202.69
#345 [1, 0, 0, -4849583885280…, 37444799703117…] ≥ 19 161.62 195.95 14.30 186.73
#338 [1, 1, 1, -8556314674380…, 30545123720525…] ≥ 19 160.90 218.38 16.01 205.70
#334 [1, -1, 0, -2008805871910…, 10587070699068…] ≥ 19 160.41 207.12 15.18 196.96
#92 [1, 1, 1, -4437412060110…, 35868422168221…] ≥ 20 159.93 223.32 16.43 210.76
#323 [1, 0, 0, -4885832009149…, 13965569369020…] ≥ 19 159.59 216.82 16.01 207.19
#320 [1, 0, 0, -3487873891980…, 24443456667622…] ≥ 19 159.54 222.59 16.46 212.13
#409 [1, -1, 0, -4446761962800…, 32977686151489…] ≥ 18 159.47 195.69 14.27 186.44
#281 [1, 0, 0, -2620963113310…, 16293457063716…] ≥ 19 159.07 207.92 15.13 195.11
#346 [1, 0, 0, -1650879174392…, 82791225908140…] ≥ 19 158.65 220.38 16.24 209.33
#296 [1, 0, 0, -3190204396715…, 66819798277603…] ≥ 19 158.60 215.42 15.88 205.33
#321 [1, -1, 1, -2521604575949…, 15199478795713…] ≥ 19 156.95 235.44 17.50 224.38
#341 [1, -1, 0, -3084587601676…, 65997762542852…] ≥ 19 156.88 201.50 14.56 187.71
#333 [1, 0, 0, -2389110518868…, 14196012150934…] ≥ 19 156.85 207.64 15.08 194.18
#336 [1, -1, 1, -1556258089679…, 23456109321321…] ≥ 19 156.42 227.08 16.78 215.41
#330 [0, -1, 0, -4828861268377…, 12887550036122…] ≥ 19 156.30 216.66 15.86 203.77
#262 [1, -1, 1, -2106587108001…, 11928388164896…] ≥ 20 154.61 207.29 15.15 196.21
#332 [1, 1, 1, -8789621129176…, 10032036623674…] ≥ 19 154.37 211.55 15.35 196.26
#292 [1, 1, 0, -6463890105137…, 19998554362363…] ≥ 19 154.36 189.91 13.54 174.67
#242 [1, 0, 1, -3095262589640…, 21616096889033…] ≥ 18 153.50 194.67 14.14 184.39
#331 [1, 1, 0, -1976589981599…, 93070638926001…] ≥ 19 153.30 207.07 15.24 198.20
#408 [1, -1, 0, -2768917408479…, 18845328323416…] ≥ 18 152.62 194.39 14.15 184.77
#90 [1, -1, 1, -1049634928262…, 12127108227154…] ≥ 19 152.53 198.27 14.48 188.86
#383 [1, 0, 0, -2027806420493…, 34519698985201…] ≥ 18 152.05 214.06 15.73 203.26
#380 [1, 0, 1, -5976631508664…, 48800073540677…] ≥ 18 151.61 182.76 13.22 173.91
#290 [1, -1, 1, -1430641213130…, 64403389265680…] ≥ 19 151.41 192.29 13.92 181.71
#407 [1, 0, 1, -3709951130930…, 27719787279462…] ≥ 18 151.10 181.35 12.97 169.73
#225 [1, 0, 0, -7493044811565…, 24956345253788…] ≥ 19 150.79 231.80 17.05 217.09
#245 [1, -1, 1, -2588041147235…, 16066636977479…] ≥ 20 150.67 207.89 15.13 195.16
#294 [0, 1, 0, -4101421576978…, 10100783138291…] ≥ 19 150.45 202.36 14.63 188.59
#6 [1, -1, 1, -2063758701246…, 32838647793306…] ≥ 19 149.99 200.30 14.66 191.08
#63 [1, 0, 0, -1718612993735…, 44567762612833…] ≥ 18 149.80 303.36 23.33 295.60
#382 [1, -1, 1, -3491794285041…, 24818984665985…] ≥ 18 149.78 208.78 15.27 197.57
#347 [1, 0, 0, -7825076977946…, 26712930332009…] ≥ 19 149.34 204.30 14.83 191.59
#233 [1, 0, 0, -4705971343623…, 12429123434853…] ≥ 18 149.32 188.95 13.47 173.99
#215 [1, -1, 0, -5096888366016…, 51845518611945…] ≥ 18 146.80 168.79 12.06 160.02
#240 [1, -1, 0, -2901585273794…, 19500338179289…] ≥ 19 146.55 166.83 11.81 156.34
#160 [1, -1, 0, -7321856729836…, 24500058176508…] ≥ 19 146.22 190.31 13.74 179.39
#406 [1, -1, 1, -2109725107883…, 37018745916232…] ≥ 18 146.04 186.55 13.40 174.89
#322 [1, -1, 1, -8662150489313…, 89490938437992…] ≥ 19 144.60 197.69 14.44 188.46
#87 [1, 1, 1, -1280679737602…, 55128352431001…] ≥ 18 143.73 191.96 13.87 180.75
#405 [1, -1, 1, -1654889316573…, 26839119952931…] ≥ 18 143.64 185.89 13.41 175.74
#234 [1, 0, 1, -2770478907376…, 17751384795734…] ≥ 19 142.95 180.46 12.74 164.66
#98 [1, -1, 1, -8117883423458…, 30875068238268…] ≥ 18 142.52 190.77 13.86 181.54
#94 [1, 0, 0, -5275155636558…, 46558488291896…] ≥ 18 141.91 210.02 15.29 196.83
#324 [1, 0, 1, -1000664131356…, 12262133853164…] ≥ 18 141.65 184.32 13.21 172.51
#147 [1, 0, 0, -3043757926484…, 65348316359688…] ≥ 18 141.22 173.85 12.36 162.57
#280 [1, 1, 1, -1475758023603…, 21467548255862…] ≥ 19 141.16 199.29 14.49 188.40
#102 [1, -1, 1, -3544239687172…, 25619866461531…] ≥ 18 138.99 195.01 14.06 182.23
#241 [1, 1, 1, -3002323607176…, 63157734310826…] ≥ 18 137.34 159.97 11.14 147.24
#146 [1, 0, 1, -5556025348607…, 48509071506063…] ≥ 18 133.46 182.54 13.14 172.48
#375 [1, -1, 1, -5294538512342…, 14733383852439…] ≥ 18 132.48 203.12 14.77 191.31
#224 [1, 0, 1, -6673066689650…, 20937863941408…] ≥ 18 130.69 203.82 14.79 190.88
#223 [1, -1, 0, -1382729158078…, 19952277912018…] ≥ 18 130.47 185.30 13.30 173.72
#314 [0, 1, 0, -5259979010001…, 46425513899592…] ≥ 18 129.32 182.38 12.91 166.85
#222 [1, -1, 1, -3331019292820…, 88471823270026…] ≥ 18 128.53 160.64 11.38 151.99
#161 [1, -1, 1, -1861192220801…, 96678496113457…] ≥ 18 127.07 193.08 13.96 181.78