{
  "id": 5358,
  "curve_key": "0:-23485464",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "27182"
  ],
  "rank_lower_bound": 4,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 33.943784469079894,
  "faltings_height": 0.88630461488162,
  "conductor": "145950561",
  "bad_primes": [
    "3",
    "4027"
  ],
  "discriminant": "-319193876907",
  "regulator": "5097.324737300883174921221835667872387813511236",
  "points": [
    [
      "-1830/169",
      "352561/2197"
    ],
    [
      "2832/361",
      "1137415/6859"
    ],
    [
      "654945/37636",
      "1311656117/7301384"
    ],
    [
      "296736/4489",
      "168926926/300763"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of curve #5074: https://elliptic-rank.icarm.cloud/curve/5074. The source Mordell curve is y^2 + y = x^3 - 1007, submitted by Daniel Błażewicz with four independent points. Applying the standard Mordell 3-isogeny and returning to a minimal integral model gives y^2 + y = x^3 + 27182. The four submitted points are exact images of the source generators under that isogeny.",
  "created_at": "2026-10-21 18:42:48",
  "updated_at": "2026-10-21 18:42:48"
}