{
  "id": 5475,
  "curve_key": "0:198919379232",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-230230763"
  ],
  "rank_lower_bound": 7,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 52.03233090019269,
  "faltings_height": 2.3936834841410195,
  "conductor": "38943333721147716",
  "bad_primes": [
    "2",
    "3",
    "7",
    "349",
    "13463"
  ],
  "discriminant": "-22898680228034857008",
  "regulator": "71468.13121263659076311824346467431606606916342104702",
  "points": [
    [
      "623",
      "3402"
    ],
    [
      "819",
      "17864"
    ],
    [
      "1103",
      "33342"
    ],
    [
      "1359",
      "47746"
    ],
    [
      "2867",
      "152760"
    ],
    [
      "2681/4",
      "67347/8"
    ],
    [
      "4137/4",
      "236789/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of ICARM curve #5408:\r\nhttps://elliptic-rank.icarm.cloud/curve/5408\r\n\r\nThe source curve was submitted by Daniel Błażewicz. Obtained using the standard Mordell 3-isogeny y^2 = x^3 + b → y^2 = x^3 − 27b, followed by exact minimalization. The seven source points were mapped through the isogeny and checked exactly.\r\n\r\nPARI/GP 2.17.4 returned rank bounds [7,7], trivial rational torsion, conductor 38943333721147716 and minimal discriminant -22898680228034857008. Exact quadratic-character certification at 15 good primes gives an F_2 matrix of rank 7, proving the seven submitted points independent.",
  "created_at": "2026-10-22 09:19:11",
  "updated_at": "2026-10-22 09:19:11"
}