{
  "id": 5473,
  "curve_key": "0:-26431618793400",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "30592151381"
  ],
  "rank_lower_bound": 8,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 61.81116418200117,
  "faltings_height": 3.2085862576250594,
  "conductor": "22183815730567497075",
  "bad_primes": [
    "3",
    "5",
    "60428941"
  ],
  "discriminant": "-404300041689592634191875",
  "regulator": "230834.765008524283809039668596131497374493797033381095",
  "points": [
    [
      "-3105",
      "25627"
    ],
    [
      "-10935/4",
      "806441/8"
    ],
    [
      "-2475",
      "124222"
    ],
    [
      "-2061",
      "147775"
    ],
    [
      "-1935",
      "152797"
    ],
    [
      "-1115",
      "170897"
    ],
    [
      "7785/4",
      "1558751/8"
    ],
    [
      "2655",
      "222052"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of ICARM curve #5459:\r\nhttps://elliptic-rank.icarm.cloud/curve/5459\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 eight source points were mapped through the isogeny and checked exactly.\r\n\r\nPARI/GP 2.17.4 returned rank bounds [8,8], trivial rational torsion, conductor 22183815730567497075 and minimal discriminant -404300041689592634191875. Exact quadratic-character certification at 15 good primes gives an F_2 matrix of rank 8, proving the eight submitted points independent.",
  "created_at": "2026-10-22 09:03:24",
  "updated_at": "2026-10-22 09:03:24"
}