{
  "id": 1239,
  "curve_key": "139495681:-1646742088225",
  "ainvs": [
    "1",
    "0",
    "0",
    "-2906160",
    "1905709311"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "naive_height": 56.26063259451879,
  "faltings_height": 2.4368453015821383,
  "conductor": "542770695987",
  "bad_primes": [
    "3",
    "13",
    "101",
    "157",
    "181",
    "373"
  ],
  "discriminant": "1558582879418246097",
  "regulator": "521.22415832693829829171882554949012880549882020830",
  "points": [
    [
      "-1725",
      "43131"
    ],
    [
      "93",
      "40404"
    ],
    [
      "651",
      "16698"
    ],
    [
      "1353",
      "20559"
    ],
    [
      "1911",
      "56766"
    ],
    [
      "4941",
      "326436"
    ]
  ],
  "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 14:37:51",
  "updated_at": "2026-09-24 14:37:51"
}