{
  "id": 1240,
  "curve_key": "165020401:-1002179096425",
  "ainvs": [
    "1",
    "0",
    "0",
    "-3437925",
    "1159643016"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "naive_height": 56.76473899993801,
  "faltings_height": 2.783418891862111,
  "conductor": "542770695987",
  "bad_primes": [
    "3",
    "13",
    "101",
    "157",
    "181",
    "373"
  ],
  "discriminant": "2019345206245172430417",
  "regulator": "4691.0174249424446846254694299454111592494893818747",
  "points": [
    [
      "-7953/4",
      "101337/8"
    ],
    [
      "-1965",
      "19116"
    ],
    [
      "-1911",
      "28371"
    ],
    [
      "-1416",
      "57180"
    ],
    [
      "11073",
      "1143723"
    ],
    [
      "172285/9",
      "70922468/27"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 14:38:01",
  "updated_at": "2026-09-24 14:38:01"
}