{
  "id": 4563,
  "curve_key": "260748673:-4207380277985",
  "ainvs": [
    "1",
    "1",
    "1",
    "-5432264",
    "4867389656"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4
  ],
  "family": null,
  "families": [],
  "naive_height": 58.137202687999014,
  "faltings_height": 2.60730344011463,
  "conductor": "885537939",
  "bad_primes": [
    "3",
    "11",
    "13",
    "17",
    "29",
    "53",
    "79"
  ],
  "discriminant": "15173437063678239489",
  "regulator": "101.5704348200926461554955811388175907855930355",
  "points": [
    [
      "-8797/4",
      "637861/8"
    ],
    [
      "542",
      "45365"
    ],
    [
      "72367",
      "19421540"
    ],
    [
      "-4969/4",
      "792895/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "From Michael Rubinstein's elliptic-curves-by-rank repository, torsion/torsion_Z4.tsv.gz: https://github.com/mrubinst/elliptic-curves-by-rank. Four supplied rational points checked exactly and certified independent modulo torsion. Rational torsion C4. Source-attributed existing curve.",
  "created_at": "2026-10-18 02:00:33",
  "updated_at": "2026-10-18 02:00:33"
}