{
  "id": 4742,
  "curve_key": "0:4827841207871112",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-5587779175777"
  ],
  "rank_lower_bound": 6,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 72.2263516155379,
  "faltings_height": 4.07651854375312,
  "conductor": "1810440452951667",
  "bad_primes": [
    "3",
    "17",
    "307",
    "523"
  ],
  "discriminant": "-13488455282649535687953243123",
  "regulator": "30232939.358748973823233310122636666489107144304934",
  "points": [
    [
      "24827977/576",
      "119318180923/13824"
    ],
    [
      "53228974753/2862864",
      "-4438835273216879/4843965888"
    ],
    [
      "76086207361/3348900",
      "15185638639662859/6128487000"
    ],
    [
      "7043625331417/114190596",
      "18469781212844538377/1220240708856"
    ],
    [
      "6672158799337/175986756",
      "16327054300881132287/2334640305096"
    ],
    [
      "47901530520433/1742895504",
      "283423710305398716649/72762401500992"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cube-sum curve x^3 + y^3 = 24565833 (Weierstrass model y^2 = x^3 - 432*24565833^2). 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 21:27:41",
  "updated_at": "2026-10-20 21:27:41"
}