{
  "id": 4545,
  "curve_key": "-1996064:-11111547520",
  "ainvs": [
    "0",
    "1",
    "0",
    "41585",
    "12874449"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 46.26250144325394,
  "faltings_height": 1.920366317192596,
  "conductor": "562446302336",
  "bad_primes": [
    "2",
    "17",
    "41",
    "97",
    "103",
    "631"
  ],
  "discriminant": "-76052864109269248",
  "regulator": "55893.018314688265068163835902307500142202630999206",
  "points": [
    [
      "-176",
      "367"
    ],
    [
      "352",
      "8441"
    ],
    [
      "-2651/36",
      "662887/216"
    ],
    [
      "133/4",
      "30247/8"
    ],
    [
      "2773/4",
      "154993/8"
    ],
    [
      "7369/16",
      "729523/64"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained as the rational 2-isogenous partner of ICARM curve #4521, submitted by Volkan Dagli. The partner has the same rank lower bound and conductor. Six rational witness points were transported through the degree-2 isogeny.",
  "created_at": "2026-10-17 13:11:06",
  "updated_at": "2026-10-17 13:11:06"
}