{
  "id": 4543,
  "curve_key": "3035874256:51333831452800",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-63247380",
    "-59393074314"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 65.50129583390175,
  "faltings_height": 3.520696057229852,
  "conductor": "143073212630034624",
  "bad_primes": [
    "2",
    "3",
    "7",
    "19",
    "31",
    "41",
    "43",
    "1033",
    "99241"
  ],
  "discriminant": "14667286741539635902356672",
  "regulator": "3781219.54543993478228174183762506637737663760118778946",
  "points": [
    [
      "-5497",
      "349492"
    ],
    [
      "-5129",
      "360624"
    ],
    [
      "-1957",
      "238502"
    ],
    [
      "20791",
      "-2759064"
    ],
    [
      "40091",
      "-7863914"
    ],
    [
      "54071",
      "-12433976"
    ],
    [
      "-3811/4",
      "2737/8"
    ],
    [
      "42629/4",
      "-5524453/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained as the rational 2-isogenous partner of ICARM curve #4505, submitted by Volkan Dagli. The partner has the same rank lower bound and conductor. Eight rational witness points were transported through the degree-2 isogeny.",
  "created_at": "2026-10-17 13:07:32",
  "updated_at": "2026-10-17 13:07:32"
}