{
  "id": 4710,
  "curve_key": "0:7638178914850218768072",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-8840484855150716167"
  ],
  "rank_lower_bound": 7,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 100.77489233142013,
  "faltings_height": 6.455563603409973,
  "conductor": "35361939420602864667",
  "bad_primes": [
    "3",
    "13",
    "19",
    "41",
    "139",
    "271"
  ],
  "discriminant": "-33762602508832445329787086586341359564003",
  "regulator": "6092151.334835195171137323313228863378826233920433510",
  "points": [
    [
      "2075047",
      "307073487"
    ],
    [
      "8496097",
      "24585339702"
    ],
    [
      "53376973/9",
      "381617199359/27"
    ],
    [
      "207062323/81",
      "2044397401091/729"
    ],
    [
      "2276676691/1089",
      "19580521361716/35937"
    ],
    [
      "25210091257/6724",
      "3651667342265937/551368"
    ],
    [
      "25409887633/11664",
      "1541904778397159/1259712"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cube-sum curve x^3 + y^3 = 1144421889 (Weierstrass model y^2 = x^3 - 432*1144421889^2). This A is the rank-7 example of Elkies-Rogers (2004), Elliptic Curves x^3+y^3=k of High Rank, https://arxiv.org/abs/math/0403116 ; its 3-isogenous Mordell model is curve#2923. Rediscovered here as the smallest rank-7 A in a Mestre-Nagao sieve over all A <= 10^12.",
  "created_at": "2026-10-20 21:10:55",
  "updated_at": "2026-10-20 21:10:55"
}