{
  "id": 5407,
  "curve_key": "0:55908275870592",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-64708652628"
  ],
  "rank_lower_bound": 8,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 63.30946706581213,
  "faltings_height": 3.333444831275973,
  "conductor": "155081841664117455792",
  "bad_primes": [
    "2",
    "3",
    "269",
    "2227339"
  ],
  "discriminant": "-1808874601170266004357888",
  "regulator": "1103042.29023480495112631234614976426724579495604751296",
  "points": [
    [
      "4173",
      "89217"
    ],
    [
      "4318",
      "125702"
    ],
    [
      "4758",
      "207378"
    ],
    [
      "5613",
      "334863"
    ],
    [
      "5694",
      "346266"
    ],
    [
      "9654",
      "913806"
    ],
    [
      "13038",
      "1466838"
    ],
    [
      "16161/4",
      "282033/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of https://elliptic-rank.icarm.cloud/curve/5388, submitted by Daniel Błażewicz. Starting from the Mordell curve y^2 = x^3 + 2396616764, apply the standard rational 3-isogeny to y^2 = x^3 - 27*2396616764 = x^3 - 64708652628. 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 155081841664117455792 as the source curve. No original-discovery claim.",
  "created_at": "2026-10-21 21:50:04",
  "updated_at": "2026-10-21 21:50:04"
}