{
  "id": 4565,
  "curve_key": "2905945:-5025109789",
  "ainvs": [
    "1",
    "0",
    "1",
    "-60541",
    "5811054"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 44.675426278420176,
  "faltings_height": 1.6033859887285695,
  "conductor": "147300958",
  "bad_primes": [
    "2",
    "7",
    "19",
    "239",
    "331"
  ],
  "discriminant": "-412284923073982",
  "regulator": "145.9492786919904033913223497421896983563227433",
  "points": [
    [
      "-309/4",
      "25639/8"
    ],
    [
      "2014",
      "88737"
    ],
    [
      "-38",
      "2857"
    ],
    [
      "-1472/9",
      "93134/27"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "From Michael Rubinstein's elliptic-curves-by-rank repository, torsion/torsion_Z3.tsv.gz: https://github.com/mrubinst/elliptic-curves-by-rank. Four supplied rational points checked exactly and certified independent modulo torsion. Rational torsion C3. Source-attributed existing curve.",
  "created_at": "2026-10-18 02:02:16",
  "updated_at": "2026-10-18 02:02:16"
}