{
  "id": 1762,
  "curve_key": "6466884025:-519352299630125",
  "ainvs": [
    "1",
    "1",
    "0",
    "-134726750",
    "601046062500"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2,
    2
  ],
  "naive_height": 67.76988067768833,
  "faltings_height": 3.4316058133531473,
  "conductor": "4309549350",
  "bad_primes": [
    "2",
    "3",
    "5",
    "29",
    "61",
    "109",
    "149"
  ],
  "discriminant": "417874851001922006250000",
  "regulator": "11038.5988620526396890413523381325425988661179281",
  "points": [
    [
      "7400",
      "93050"
    ],
    [
      "107624",
      "-35163874"
    ],
    [
      "510344/49",
      "194587154/343"
    ],
    [
      "1333725/169",
      "368012100/2197"
    ],
    [
      "527725/9",
      "-377156275/27"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "\"2-isogenous to curve#1685 (Michael Rubinstein). The five witnesses are the images of curve #1685's certified independent points under the rational 2-isogeny.\"",
  "created_at": "2026-09-25 12:36:32",
  "updated_at": "2026-09-25 12:36:32"
}