{
  "id": 1307,
  "curve_key": "289944324544:-136029498811900928",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-6040506761",
    "157443563053065"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2,
    2
  ],
  "naive_height": 79.17886427149364,
  "faltings_height": 4.584762039468664,
  "conductor": "16028164361280",
  "bad_primes": [
    "2",
    "3",
    "5",
    "23",
    "41",
    "73",
    "409",
    "593"
  ],
  "discriminant": "3397529648176928454553827840000",
  "regulator": "1865.4358683716061614207805454065319954601126288738",
  "points": [
    [
      "198893",
      "82606800"
    ],
    [
      "-7624",
      "14249673"
    ],
    [
      "68621",
      "8127648"
    ],
    [
      "-661763/9",
      "385687000/27"
    ],
    [
      "-84007",
      "8487000"
    ],
    [
      "266168",
      "131933175"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2+Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:29:25",
  "updated_at": "2026-09-24 17:29:25"
}