{
  "id": 4572,
  "curve_key": "141866665:-1689730680725",
  "ainvs": [
    "1",
    "1",
    "0",
    "-2955555",
    "1954475325"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 56.31119458672644,
  "faltings_height": 2.3113255601904608,
  "conductor": "302611538850",
  "bad_primes": [
    "2",
    "3",
    "5",
    "29",
    "71",
    "89",
    "101",
    "109"
  ],
  "discriminant": "23204252799018000",
  "regulator": "728.31645142688892432048648090659209258292178568104",
  "points": [
    [
      "810",
      "-10035"
    ],
    [
      "-1566",
      "53181"
    ],
    [
      "1170",
      "-10575"
    ],
    [
      "1010",
      "-1475"
    ],
    [
      "986",
      "-179"
    ],
    [
      "999",
      "-855"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "From Michael Rubinstein's elliptic-curves-by-rank repository, torsion/torsion_Z2.tsv.gz: https://github.com/mrubinst/elliptic-curves-by-rank. Six supplied rational points checked exactly and certified independent modulo torsion. Rational torsion C2. Source-attributed existing curve.",
  "created_at": "2026-10-18 02:08:25",
  "updated_at": "2026-10-18 02:08:25"
}