{
  "id": 4741,
  "curve_key": "0:1397344173897672",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-1617296497567"
  ],
  "rank_lower_bound": 5,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 69.74669962253736,
  "faltings_height": 3.869880877669742,
  "conductor": "6469185990267",
  "bad_primes": [
    "3",
    "7",
    "11",
    "13",
    "163"
  ],
  "discriminant": "-1129959919170004286305744803",
  "regulator": "3162.06878377157304964677524450190907953802342005",
  "points": [
    [
      "12103",
      "394439"
    ],
    [
      "14833",
      "1283054"
    ],
    [
      "15379",
      "1421283"
    ],
    [
      "27547",
      "4391627"
    ],
    [
      "45409",
      "9592446"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cube-sum curve x^3 + y^3 = 489489 (Weierstrass model y^2 = x^3 - 432*489489^2). 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 21:27:37",
  "updated_at": "2026-10-20 21:27:37"
}