Elliptic Curve Rank Leaderboard

Curves with rank lower bound = 27

Click a column header to sort; click again to reverse. Curves missing a value (no primes of bad reduction supplied yet) sort last.

Download the database (JSON) ↓

showing 41 of 4205 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#4043 [1, 0, 0, -8570253126523…, 30302792783384…] ≥ 27 trivial 231.22 317.28 25.26 328.91
#3836 [0, 1, 0, -8424130123243…, 28840392298011…] ≥ 27 trivial 232.35 290.97 23.02 301.22
#4090 [1, 0, 0, -7399395255648…, 23989822738620…] ≥ 27 trivial 233.61 276.37 21.82 287.02
#1675 [0, 0, 0, -1849576243056…, 96311345590303…] ≥ 27 trivial 235.01 277.75 21.99 289.77
#4191 [0, 1, 0, -1877003524652…, 97526024341299…] ≥ 27 trivial 240.97 292.64 23.18 303.63
#3560 [0, 1, 0, -2045552020582…, 11173215816736…] ≥ 27 trivial 240.97 278.45 22.03 290.07
#3819 [1, 0, 0, -1918373892861…, 10114743013354…] ≥ 27 trivial 242.67 333.86 26.63 345.14
#614 [1, -1, 1, -1145284361078…, 14243815623171…] ≥ 27 trivial 242.80 340.62 27.14 350.50
#1676 [1, 0, 0, -2349255761373…, 43941095751430…] ≥ 27 trivial 243.30 312.31 24.90 325.03
#725 [1, 0, 0, -8503329646203…, 26829099816035…] ≥ 27 trivial 244.81 333.68 26.54 342.70
#3820 [1, -1, 0, -8316587724381…, 30925426164869…] ≥ 27 trivial 246.86 291.63 23.05 301.30
#402 [1, -1, 1, -1272607077445…, 17471855868336…] ≥ 27 trivial 247.24 335.00 26.94 350.82
#3821 [1, 0, 0, -1425569150578…, 63856309020124…] ≥ 27 trivial 248.92 306.17 24.29 316.62
#1821 [1, -1, 1, -3546190682677…, 80299166509927…] ≥ 27 trivial 255.42 301.26 23.91 312.44
#3428 [1, 0, 0, -9217104967507…, 11396747029931…] ≥ 27 trivial 255.82 340.27 27.11 349.96
#4170 [0, 1, 1, -5161608230189…, 13838603396583…] ≥ 27 trivial 256.06 303.30 24.05 313.57
#1682 [1, 0, 0, -4234532411108…, 33640712803155…] ≥ 27 trivial 257.01 321.14 25.62 333.71
#401 [0, 0, 0, -9462421028937…, 35673551381852…] ≥ 27 trivial 258.76 303.66 24.13 315.40
#4129 [0, 0, 0, -2646902124941…, 52651752481930…] ≥ 27 trivial 259.16 299.41 23.80 311.58
#1683 [0, 0, 0, -4195811137977…, 32913882651475…] ≥ 27 trivial 259.52 321.62 25.64 333.67
#1677 [1, 0, 0, -7361352324983…, 24399021522455…] ≥ 27 trivial 260.21 316.08 25.19 328.46
#1678 [1, -1, 1, -8536804896831…, 33116974373886…] ≥ 27 trivial 261.51 319.78 25.39 329.07
#1681 [1, -1, 1, -3062087415713…, 18134486195682…] ≥ 27 trivial 262.08 323.79 25.71 332.73
#1822 [0, 1, 0, -3797496588981…, 27710817073667…] ≥ 27 trivial 262.70 309.18 24.54 319.56
#4196 [1, -1, 1, -1636204316577…, 11567916063921…] ≥ 27 trivial 263.35 295.82 23.35 303.94
#1823 [1, -1, 1, -7449739848396…, 28924546508203…] ≥ 27 trivial 264.06 320.03 25.39 328.80
#1824 [1, 0, 0, -1458272749314…, 67802353297142…] ≥ 27 trivial 264.77 315.69 25.28 330.50
#363 [1, 0, 1, -7778486110551…, 97293729940243…] ≥ 27 trivial 265.17 327.04 25.98 335.83
#1680 [0, 1, 0, -2295357140044…, 13161121965732…] ≥ 27 trivial 265.45 321.00 25.54 331.86
#1825 [0, 1, 0, -1953543419888…, 10500831663741…] ≥ 27 trivial 265.68 317.52 25.38 331.38
#1679 [1, 0, 0, -1018157143997…, 39228414259158…] ≥ 27 trivial 268.29 317.83 25.31 329.42
#814 [1, 0, 0, -4943552598545…, 13502437335795…] ≥ 27 trivial 268.89 329.63 26.29 341.09
#630 [0, 1, 0, -4780847590649…, 11914273121243…] ≥ 27 trivial 275.84 331.42 26.37 340.97
#585 [1, 0, 0, -6226812508901…, 18611512199406…] ≥ 27 trivial 281.27 358.49 28.67 369.40
#628 [1, -1, 1, -1286302193798…, 17802205930101…] ≥ 27 trivial 282.75 338.12 27.05 350.85
#629 [1, 0, 0, -2061464727961…, 11053114193386…] ≥ 27 trivial 283.62 348.88 27.85 359.17
#67 [1, 0, 0, -5567114686524…, 16198189532278…] ≥ 27 trivial 287.01 344.16 27.48 355.27
#627 [1, 0, 0, -8810888018746…, 31850830142264…] ≥ 27 trivial 295.67 342.37 27.47 356.62
#537 [1, -1, 1, -1919140652138…, 25277597117582…] ≥ 27 trivial 307.07 371.28 29.65 379.68
#404 [1, 0, 0, -1928799613292…, 98335186873093…] ≥ 27 trivial 309.03 362.93 29.00 372.79
#416 [1, 0, 0, -2802454225692…, 17664367286108…] ≥ 27 trivial 325.36 390.94 31.36 401.54