{
  "id": 4739,
  "curve_key": "0:4657376416032",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-5390481963"
  ],
  "rank_lower_bound": 5,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 58.33894680934022,
  "faltings_height": 2.919234809903314,
  "conductor": "1746516156012",
  "bad_primes": [
    "2",
    "3",
    "19",
    "23",
    "97"
  ],
  "discriminant": "-12552751782761040015408",
  "regulator": "2844.52116748227855920035412401598547861879595846",
  "points": [
    [
      "1843",
      "29488"
    ],
    [
      "3439",
      "187834"
    ],
    [
      "6499",
      "518756"
    ],
    [
      "7663",
      "666778"
    ],
    [
      "21679",
      "3191126"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cube-sum curve x^3 + y^3 = 763002 (Weierstrass model y^2 = x^3 - 432*763002^2). 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.",
  "created_at": "2026-10-20 21:27:30",
  "updated_at": "2026-10-20 21:27:30"
}