{
  "id": 4546,
  "curve_key": "-3989792:-12020360320",
  "ainvs": [
    "0",
    "1",
    "0",
    "83121",
    "13940161"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 46.419735484619345,
  "faltings_height": 1.9620730981525007,
  "conductor": "865016887424",
  "bad_primes": [
    "2",
    "23",
    "41",
    "103",
    "1697"
  ],
  "discriminant": "-120370559952599296",
  "regulator": "44258.738207372344063317914714116684852879656253271",
  "points": [
    [
      "488",
      "13075"
    ],
    [
      "1232",
      "44585"
    ],
    [
      "-259/4",
      "23035/8"
    ],
    [
      "833/16",
      "-274615/64"
    ],
    [
      "2477/4",
      "139315/8"
    ],
    [
      "3941/4",
      "259625/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained as the rational 2-isogenous partner of ICARM curve #4522, 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 13:13:23",
  "updated_at": "2026-10-17 13:13:23"
}