{
  "id": 4293,
  "curve_key": "2558521:-4036430125",
  "ainvs": [
    "1",
    "0",
    "1",
    "-53303",
    "4667352"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 44.264819745383804,
  "faltings_height": 1.5677275341643675,
  "conductor": "1568718634",
  "bad_primes": [
    "2",
    "7",
    "23",
    "29",
    "103",
    "233"
  ],
  "discriminant": "263533749481562",
  "regulator": "2089.14659321158545981755692717148440030267330063",
  "points": [
    [
      "146",
      "-22"
    ],
    [
      "176",
      "-952"
    ],
    [
      "278",
      "3230"
    ],
    [
      "356",
      "-5732"
    ],
    [
      "647/4",
      "3613/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained by a rational 2-isogeny from curve#4038, submitted by NDElkies. This isogenous curve has the same rank and conductor. The five supplied points were transported from the source curve.",
  "created_at": "2026-10-16 18:57:14",
  "updated_at": "2026-10-16 18:57:14"
}