{
  "id": 5392,
  "curve_key": "0:36071874675072",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-41749854948"
  ],
  "rank_lower_bound": 8,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 62.433069165483786,
  "faltings_height": 3.2604116729152777,
  "conductor": "64557421784408891952",
  "bad_primes": [
    "2",
    "3",
    "191",
    "674647"
  ],
  "discriminant": "-752997767693345315728128",
  "regulator": "921895.224831393254414496379652747868989595655775064500",
  "points": [
    [
      "3874",
      "128026"
    ],
    [
      "3978",
      "145602"
    ],
    [
      "5938",
      "409418"
    ],
    [
      "6354",
      "463446"
    ],
    [
      "12274",
      "1344374"
    ],
    [
      "22698",
      "3413538"
    ],
    [
      "37314",
      "7204986"
    ],
    [
      "40122",
      "8034030"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of https://elliptic-rank.icarm.cloud/curve/5381, submitted by Daniel Błażewicz. Starting from the Mordell curve y^2 = x^3 + 1546290924, apply the standard rational 3-isogeny to y^2 = x^3 - 27*1546290924 = x^3 - 41749854948. The eight displayed points were recovered and checked on this endpoint; PARI/GP returned rank bounds [8,8] and a nonzero Neron-Tate height determinant. Same conductor 64557421784408891952 as the source curve. No original-discovery claim.",
  "created_at": "2026-10-21 21:16:05",
  "updated_at": "2026-10-21 21:16:05"
}