{
  "id": 5357,
  "curve_key": "0:-61090200",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "70706"
  ],
  "rank_lower_bound": 4,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 35.85572403695767,
  "faltings_height": 1.0456329122047674,
  "conductor": "118503675",
  "bad_primes": [
    "3",
    "5",
    "419"
  ],
  "discriminant": "-2159729476875",
  "regulator": "4123.668396668788809644949037300599475335000708",
  "points": [
    [
      "-284/9",
      "5338/27"
    ],
    [
      "19489/1764",
      "19850419/74088"
    ],
    [
      "3226/81",
      "266374/729"
    ],
    [
      "16456/225",
      "2292146/3375"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of curve #5222: https://elliptic-rank.icarm.cloud/curve/5222. The source Mordell curve is y^2 + y = x^3 - 2619, 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 + 70706. The four submitted points are exact images of the source generators under that isogeny.",
  "created_at": "2026-10-21 18:37:18",
  "updated_at": "2026-10-21 18:37:18"
}