{
  "id": 4944,
  "curve_key": "0:5096987208",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-5899291"
  ],
  "rank_lower_bound": 6,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 44.70383091717914,
  "faltings_height": 1.782975152223224,
  "conductor": "20623188949947",
  "bad_primes": [
    "3",
    "317",
    "919"
  ],
  "discriminant": "-15034304744511363",
  "regulator": "4631310.1299671670330872465028383728990916640537402",
  "points": [
    [
      "819097/1444",
      "729209209/54872"
    ],
    [
      "55076641/36100",
      "408400720061/6859000"
    ],
    [
      "874033/16",
      "-817131127/64"
    ],
    [
      "874969/100",
      "-818440953/1000"
    ],
    [
      "937969/1600",
      "-895045047/64000"
    ],
    [
      "13361137/53824",
      "38273741751/12487168"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained by a rational 3-isogeny from curve #4908, submitted by Daniel Błażewicz: https://elliptic-rank.icarm.cloud/curve/4908.\r\n\r\nThe source model is y^2 + y = x^3 + 218492. Its public entry supplies six rational points and no commentary identifying an earlier source.\r\n\r\nCompleted the square with Y = y + 1/2, giving Y^2 = x^3 + B with B = 873969/4. Applied the standard degree-3 isogeny X = (x^3+4*B)/x^2, V = Y*(x^3-8*B)/x^3, then set y' = V - 1/2. The resulting integral model is y'^2 + y' = X^3 - 5899291.\r\n\r\nSix supplied rational points transported through this map and checked exactly on the target curve. Rational torsion trivial. Same rank and conductor as the source; conductor 20623188949947. Source-attributed existing curve.",
  "created_at": "2026-10-20 23:28:17",
  "updated_at": "2026-10-20 23:28:17"
}