{
  "id": 5400,
  "curve_key": "0:229460139144",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-265578865"
  ],
  "rank_lower_bound": 7,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 52.317990331429705,
  "faltings_height": 2.417488436744104,
  "conductor": "13932273264572601",
  "bad_primes": [
    "3",
    "39345017"
  ],
  "discriminant": "-30469881629620278387",
  "regulator": "107724.7562713901639160537107620518160467425546266283",
  "points": [
    [
      "643",
      "518"
    ],
    [
      "645",
      "1660"
    ],
    [
      "691",
      "8022"
    ],
    [
      "753",
      "12703"
    ],
    [
      "2103",
      "95053"
    ],
    [
      "9663",
      "949738"
    ],
    [
      "35349/25",
      "6326132/125"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of https://elliptic-rank.icarm.cloud/curve/5375, submitted by Daniel Błażewicz. Completing the square gives the Mordell model Y^2 = x^3 + 39345017/4; applying the standard rational 3-isogeny and returning to a minimal integral model gives [0,0,1,0,-265578865]. The seven displayed points were recovered and checked on this endpoint; PARI/GP returned rank bounds [7,7] and a nonzero Neron-Tate height determinant. Same conductor 13932273264572601 as the source curve. No original-discovery claim.",
  "created_at": "2026-10-21 21:25:00",
  "updated_at": "2026-10-21 21:25:00"
}