{
  "id": 4744,
  "curve_key": "0:4373691979790779554940020000",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-5062143495128217077476875"
  ],
  "rank_lower_bound": 8,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 127.29081001979748,
  "faltings_height": 8.665223410774752,
  "conductor": "65605379696861693324100300",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "19",
    "23",
    "31",
    "83",
    "4201"
  ],
  "discriminant": "-11070128202596174094225719273559199137491781018750000",
  "regulator": "28082310056.0714998395532056377642690916230340384664898",
  "points": [
    [
      "3510554761849/15876",
      "4796651982921364243/2000376"
    ],
    [
      "24718037951641/133956",
      "-54168367502493172061/49027896"
    ],
    [
      "62260360076731/71289",
      "489396656251949635504/19034163"
    ],
    [
      "325400730053089/1089936",
      "-5282120315328637689937/1137893184"
    ],
    [
      "468784925321359/2556801",
      "4290589752596243996102/4088324799"
    ],
    [
      "768132040232539/4173849",
      "-9226941692672344607288/8527173507"
    ],
    [
      "2847716696637739/1279161",
      "-151930694548929806737388/1446731091"
    ],
    [
      "5709567766269799/4272489",
      "-430966746133174586175218/8831234763"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cube-sum curve x^3 + y^3 = 23381862574950 (Weierstrass model y^2 = x^3 - 432*23381862574950^2). Source: Elkies & Rogers, 'Elliptic Curves x^3+y^3=k of High Rank', ANTS-VI (LNCS 3076, 2004), arXiv:math/0403116, https://arxiv.org/abs/math/0403116 Points mapped from the 3-isogenous curve uv(u+v)=A given there via the dual isogeny.",
  "created_at": "2026-10-20 21:27:49",
  "updated_at": "2026-10-20 21:27:49"
}