{
  "id": 5476,
  "curve_key": "0:-90885888",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "105192"
  ],
  "rank_lower_bound": 4,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 36.65023059914162,
  "faltings_height": 1.1118417923867638,
  "conductor": "136609344",
  "bad_primes": [
    "2",
    "3",
    "487"
  ],
  "discriminant": "-4780234165248",
  "regulator": "49.89965924237131454116569842882344141367644167",
  "points": [
    [
      "-26",
      "296"
    ],
    [
      "-6",
      "324"
    ],
    [
      "58",
      "548"
    ],
    [
      "102",
      "1080"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of ICARM curve #5442:\r\nhttps://elliptic-rank.icarm.cloud/curve/5442\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 four source points were mapped through the isogeny and checked exactly.\r\n\r\nPARI/GP 2.17.4 returned rank bounds [4,4], trivial rational torsion, conductor 136609344 and minimal discriminant -4780234165248. Exact quadratic-character certification at 12 good primes gives an F_2 matrix of rank 4, proving the four submitted points independent.",
  "created_at": "2026-10-22 09:22:13",
  "updated_at": "2026-10-22 09:22:13"
}