Elliptic Curve Rank Leaderboard

wgxli

Member since .

About

https://samuelj.li

Curves (93)

curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#846 [1, 0, 0, -8903886886058…, 10383942932786…] ≥ 31 trivial 340.29 394.08 31.64 405.04
#848 [1, 0, 0, -1116466441828…, 45234770608313…] ≥ 31 trivial 333.08 400.25 32.21 412.59
#752 [1, 0, 1, -3676470571326…, 98299706024123…] ≥ 31 trivial 329.44 414.46 33.26 423.35
#3926 [1, 0, 1, -3060769098988…, 20561800937356…] ≥ 31 trivial 348.68 416.63 33.59 429.43
#845 [1, 0, 0, -6890645832588…, 21972625654265…] ≥ 31 trivial 348.28 425.78 34.36 438.78
#3845 [1, 0, 0, -4214067749659…, 33298967813974…] ≥ 31 trivial 338.19 427.88 34.70 444.21
#724 [1, 0, 0, -5001558189388…, 13572664950135…] ≥ 31 trivial 386.84 452.90 36.60 465.45
#3587 [1, 0, 0, -4653858206784…, 12202016210404…] ≥ 31 trivial 401.61 465.76 37.71 479.05
#3593 [1, -1, 1, -9526711476845…, 46320690718187…] ≥ 31 trivial 409.53 487.16 39.31 495.53
#582 [1, 0, 0, -1803195243443…, 29183115887827…] ≥ 30 trivial 363.21 437.18 35.25 448.57
#684 [1, 0, 0, -3548762533798…, 91542842811256…] ≥ 30 trivial 347.86 441.82 35.55 450.84
#728 [1, 0, 0, -2695272471630…, 58070645430746…] ≥ 29 trivial 275.32 357.61 28.54 367.03
#692 [1, 0, 0, -2219824741881…, 35925615261202…] ≥ 29 trivial 300.13 371.07 29.65 380.12
#356 [0, 1, 0, -2439187674471…, 46943906433780…] ≥ 29 trivial 317.89 383.07 30.73 394.24
#693 [0, 1, 0, -2061017599086…, 36878430076454…] ≥ 29 trivial 302.56 397.05 31.87 407.57
#385 [1, -1, 1, -3318274966744…, 23228532820536…] ≥ 29 trivial 345.65 430.29 34.75 443.49
#729 [1, 0, 0, -4341658947509…, 11891969904721…] ≥ 28 trivial 254.73 331.43 26.36 340.84
#613 [0, 1, 0, -1107604775133…, 43299169350019…] ≥ 28 trivial 261.42 333.36 26.55 343.49
#364 [1, 1, 1, -1307500861006…, 18384836769279…] ≥ 28 trivial 307.81 367.20 29.41 378.55
#395 [1, -1, 1, -1571436138788…, 74572864524469…] ≥ 28 trivial 297.51 375.11 30.05 385.99
#391 [1, 0, 0, -2533580830669…, 15818917486191…] ≥ 28 trivial 300.43 390.53 31.33 401.27
#363 [1, 0, 1, -7778486110551…, 97293729940243…] ≥ 27 trivial 265.17 327.04 25.98 335.83
#614 [1, -1, 1, -1145284361078…, 14243815623171…] ≥ 27 trivial 242.80 340.62 27.14 350.50
#390 [0, 0, 0, -3430010766159…, 26817639167403…] ≥ 26 trivial 248.04 296.39 23.43 305.62
#542 [0, 1, 0, -5411384853356…, 14766150358652…] ≥ 26 trivial 216.77 303.62 24.07 313.71
#393 [1, -1, 1, -1741982199429…, 33616270057492…] ≥ 26 trivial 246.56 315.86 25.04 324.49
#622 [0, 1, 0, -3105168035620…, 66668424497574…] ≥ 25 trivial 206.83 270.77 21.48 284.42
#540 [1, 0, 0, -4499601412550…, 25806241660529…] ≥ 25 trivial 243.28 279.44 21.98 287.12
#541 [1, 0, 0, -2086462968545…, 35169420298107…] ≥ 25 trivial 225.17 287.07 22.68 297.04
#351 [1, -1, 1, -2509189159341…, 45913507617476…] ≥ 25 trivial 225.72 287.83 22.74 297.59
#548 [0, 0, 0, -1311391639263…, 16989724982818…] ≥ 24 trivial 199.31 258.56 20.29 268.01
#623 [0, 1, 0, -9224660970981…, 33113220943823…] ≥ 24 trivial 198.06 263.55 20.74 273.87
#389 [1, 0, 0, -1095282788134…, 15295153953560…] ≥ 24 trivial 211.82 272.23 21.42 281.47
#378 [0, 1, 0, -3896830274733…, 93850226586476…] ≥ 24 trivial 214.70 272.28 21.56 285.10
#624 [1, 0, 0, -2885578293337…, 17601289199485…] ≥ 23 trivial 177.43 240.16 18.76 249.66
#539 [1, 0, 0, -6902067553778…, 69831375895199…] ≥ 23 trivial 191.07 251.80 19.93 266.09
#377 [0, 1, 0, -5458253078691…, 15550812048772…] ≥ 23 trivial 192.36 259.27 20.49 272.30
#625 [1, -1, 1, -4704723986051…, 39336166825851…] ≥ 22 trivial 164.25 196.40 15.26 209.68
#538 [0, 1, 0, -3328799528155…, 26046095202214…] ≥ 22 trivial 187.77 227.39 17.68 236.49
#376 [1, 0, 0, -1445990013167…, 21128721995181…] ≥ 22 trivial 170.96 227.51 17.85 240.68
#4118 [1, 0, 1, -1737195285250…, 65528379010285…] ≥ 22 ℤ/2ℤ 228.67 391.85 31.36 400.10
#4119 [1, 0, 1, 43053899560358…, 42065719258948…] ≥ 22 ℤ/2ℤ 228.67 396.29 31.71 403.23
#578 [1, 1, 0, -1066071946332…, 37288863716128…] ≥ 21 trivial 149.77 168.65 12.78 177.59
#4120 [1, -1, 1, -2828222626474…, 57888571992079…] ≥ 21 ℤ/2ℤ 201.75 364.35 29.42 380.84
#4121 [1, -1, 1, -3006113064908…, 50193876987428…] ≥ 21 ℤ/2ℤ 201.75 372.59 29.76 381.03
#4076 [1, 0, 0, -9816912725444…, 11818799450661…] ≥ 21 ℤ/2ℤ 224.63 378.34 30.42 391.48
#4077 [1, 0, 0, -1315443004499…, 30837963679351…] ≥ 21 ℤ/2ℤ 224.63 384.88 30.76 392.36
#4115 [1, -1, 1, -1249826097099…, 77851438628858…] ≥ 21 ℤ/2ℤ 228.81 398.33 31.89 406.02
#4123 [0, 1, 0, -4736178915182…, 12502716343001…] ≥ 21 ℤ/2ℤ 231.09 397.58 31.99 410.02
#4122 [0, 1, 0, -7031654147618…, -8707579298767…] ≥ 21 ℤ/2ℤ 231.09 403.75 32.34 411.21
#4116 [1, -1, 1, -1681059155848…, 83847739603376…] ≥ 21 ℤ/2ℤ 228.81 399.52 32.24 413.82
#631 [1, 0, 0, -4283778575303…, 29497464752795…] ≥ 20 trivial 139.02 186.75 14.29 195.58
#532 [0, 1, 0, -1859482717558…, 30757232937977…] ≥ 20 trivial 148.79 201.36 15.64 213.80
#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
#4110 [0, 1, 0, -3298135651449…, -5527823704103…] ≥ 20 ℤ/2ℤ 192.29 339.25 26.96 346.77
#4108 [1, 0, 0, -9882697330631…, 39846882748632…] ≥ 20 ℤ/2ℤ 193.61 344.92 27.43 352.47
#4111 [0, 1, 0, -3147444400185…, 67517856203171…] ≥ 20 ℤ/2ℤ 192.29 341.74 27.31 353.53
#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
#4079 [1, -1, 1, -2378435901085…, 11871098670888…] ≥ 20 ℤ/2ℤ 190.60 350.92 27.96 359.60
#4109 [1, 0, 0, -2457618528259…, 14800284758957…] ≥ 20 ℤ/2ℤ 193.61 346.70 27.77 359.70
#4062 [1, 0, 0, -3593975211501…, 25998463263987…] ≥ 20 ℤ/2ℤ 207.96 349.32 27.93 360.84
#4112 [1, 0, 0, -6250228875840…, 52753452389369…] ≥ 20 ℤ/2ℤ 189.09 353.58 28.19 362.50
#4061 [1, 0, 0, -6387039322288…, -2000682293681…] ≥ 20 ℤ/2ℤ 207.96 355.00 28.28 362.56
#4084 [1, 0, 0, -1045076954961…, 75641504467573…] ≥ 20 ℤ/2ℤ 206.93 356.17 28.38 364.04
#4106 [1, -1, 1, -2778651284357…, 56051416651443…] ≥ 20 ℤ/2ℤ 192.44 355.06 28.42 366.98
#4080 [1, -1, 1, -3634658042725…, 84339127251430…] ≥ 20 ℤ/2ℤ 190.60 350.70 28.31 367.78
#4107 [1, -1, 1, -1091761463896…, 12342076216748…] ≥ 20 ℤ/2ℤ 192.44 361.07 28.77 368.54
#4113 [1, 0, 0, -9655018350892…, 36514844378786…] ≥ 20 ℤ/2ℤ 189.09 353.09 28.54 370.71
#4083 [1, 0, 0, -1469442246932…, 68541572760905…] ≥ 20 ℤ/2ℤ 206.93 357.04 28.73 371.97
#802 [1, 0, 0, -2918870306905…, 19149137396656…] ≥ 20 ℤ/2ℤ 208.23 361.21 28.97 374.03
#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
#4063 [1, -1, 1, -3611038765921…, 22818917951506…] ≥ 20 ℤ/2ℤ 201.67 365.84 29.21 374.67
#4075 [1, 0, 0, -4934750083481…, 14866495631511…] ≥ 20 ℤ/2ℤ 199.48 368.02 29.36 375.61
#4059 [1, 0, 0, -3251469747483…, 49107828061327…] ≥ 20 ℤ/2ℤ 209.58 373.17 29.80 381.26
#4064 [1, -1, 1, -5556504497393…, 15941909013456…] ≥ 20 ℤ/2ℤ 201.67 365.46 29.56 382.87
#4074 [1, 0, 0, -6373524210489…, 19568234964109…] ≥ 20 ℤ/2ℤ 199.48 369.44 29.71 383.28
#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
#4070 [1, 0, 1, -4413954289751…, 32412073255594…] ≥ 20 ℤ/2ℤ 209.05 376.70 30.08 384.29
#4060 [1, 0, 0, 89321413964676…, 33020401925829…] ≥ 20 ℤ/2ℤ 209.58 377.55 30.15 384.33
#4071 [1, 0, 1, -1028059201791…, 12668424643103…] ≥ 20 ℤ/2ℤ 209.05 378.36 30.42 391.62
#3594 [0, 1, 0, -6139623020352…, 58644442303563…] ≥ 19 trivial 130.22 169.60 13.03 182.85
#718 [1, 0, 0, -4168911634456…, 10390898261941…] ≥ 19 trivial 136.09 203.63 15.83 216.23
#598 [1, -1, 1, -6229212651440…, 18987511484414…] ≥ 19 trivial 140.86 218.80 17.09 231.25
#3589 [0, 1, 0, -4301363910709…, 10878063415201…] ≥ 18 trivial 120.29 175.62 13.52 188.69
#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
#3529 [1, 1, 1, -9713478764873…, 13934495013154…] ≥ 16 ℤ/2ℤ 126.76 224.97 17.44 232.57
#3527 [1, 1, 1, 35625522807929…, 10705546828242…] ≥ 16 ℤ/2ℤ 126.76 229.18 17.79 236.47
#803 [0, -1, 0, -8932110013773…, 32231848935325…] ≥ 13 ℤ/4ℤ 154.65 372.70 29.88 384.29

Contributions to other curves (2)

curve a-invariants contribution rank when
#3919 [0, -1, 0, -331829663577069642438909820714004014845529433, 2326080816991724173017818406616898984773103039393542328536177098237] recorded the primes of bad reduction 28
#1393 [1, 0, 0, -11532891443929352092867911758070963219260449885, 477129965035818985427866235650134910745513387031938136016451076770225] recorded the primes of bad reduction 28