{
  "id": 5359,
  "curve_key": "0:-44140512600",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "51088556"
  ],
  "rank_lower_bound": 6,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 49.02128770151392,
  "faltings_height": 2.1427632175844553,
  "conductor": "61867628556075",
  "bad_primes": [
    "3",
    "5",
    "302747"
  ],
  "discriminant": "-1127537530434466875",
  "regulator": "13197100.193116845114535472425912463385972528577013",
  "points": [
    [
      "-5421986/16641",
      "8718724331/2146689"
    ],
    [
      "2934784/47961",
      "75237702281/10503459"
    ],
    [
      "7869574/62001",
      "112525772995/15438249"
    ],
    [
      "142152616/281961",
      "2004358925953/149721291"
    ],
    [
      "198856396/349281",
      "3168571751396/206425071"
    ],
    [
      "-3706177616/13373649",
      "266983929173564/48907434393"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of curve #5215: https://elliptic-rank.icarm.cloud/curve/5215. The source Mordell curve is y^2 + y = x^3 - 1892169, submitted by Daniel Błażewicz with six independent points. Applying the standard Mordell 3-isogeny and returning to a minimal integral model gives y^2 + y = x^3 + 51088556. The six submitted points are exact images of the source generators under that isogeny.",
  "created_at": "2026-10-21 18:46:56",
  "updated_at": "2026-10-21 18:46:56"
}