{
  "id": 5405,
  "curve_key": "0:506303312904",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-585999205"
  ],
  "rank_lower_bound": 7,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 53.900803518525024,
  "faltings_height": 2.5493895356687135,
  "conductor": "67831124536816281",
  "bad_primes": [
    "3",
    "3541",
    "24517"
  ],
  "discriminant": "-148346669362017206547",
  "regulator": "175461.1310102870017975786166921910074055116275183502",
  "points": [
    [
      "921",
      "13972"
    ],
    [
      "4465/4",
      "226957/8"
    ],
    [
      "1353",
      "43483"
    ],
    [
      "1515",
      "53770"
    ],
    [
      "3025",
      "164604"
    ],
    [
      "14497/4",
      "1734709/8"
    ],
    [
      "7671",
      "671422"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of https://elliptic-rank.icarm.cloud/curve/5380, submitted by Daniel Błażewicz. Completing the square gives the Mordell model Y^2 = x^3 + 86814697/4; applying the standard rational 3-isogeny and returning to a minimal integral model gives [0,0,1,0,-585999205]. 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 67831124536816281 as the source curve. No original-discovery claim.",
  "created_at": "2026-10-21 21:36:15",
  "updated_at": "2026-10-21 21:36:15"
}