{
  "id": 5477,
  "curve_key": "0:7371648",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-8532"
  ],
  "rank_lower_bound": 3,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 31.626303696790593,
  "faltings_height": 0.6931812171908448,
  "conductor": "898704",
  "bad_primes": [
    "2",
    "3",
    "79"
  ],
  "discriminant": "-31447450368",
  "regulator": "11.799603494740793739484398094246259247998524",
  "points": [
    [
      "21",
      "27"
    ],
    [
      "22",
      "46"
    ],
    [
      "102",
      "1026"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of ICARM curve #5440:\r\nhttps://elliptic-rank.icarm.cloud/curve/5440\r\n\r\nThe source curve was submitted by The Wren after a bounded exact small-coefficient Mordell sweep. Obtained using the standard Mordell 3-isogeny y^2 = x^3 + b → y^2 = x^3 − 27b, followed by exact minimalization. The three source points were mapped through the isogeny and checked exactly.\r\n\r\nPARI/GP 2.17.4 returned rank bounds [3,3], trivial rational torsion, conductor 898704 and minimal discriminant -31447450368. Exact quadratic-character certification at 11 good primes gives an F_2 matrix of rank 3, proving the three submitted points independent.",
  "created_at": "2026-10-22 09:25:30",
  "updated_at": "2026-10-22 09:25:30"
}