{
  "id": 1282,
  "curve_key": "175825928464:-73710766626840512",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-3663040176",
    "85314608312976"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2,
    2
  ],
  "naive_height": 77.6782808992224,
  "faltings_height": 4.193403291680558,
  "conductor": "65930519760",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "31",
    "97",
    "421"
  ],
  "discriminant": "1353447445911826237480166400",
  "regulator": "444.349696992221432306849586664494888349097674658",
  "points": [
    [
      "64656",
      "-10897740"
    ],
    [
      "-10944",
      "11139660"
    ],
    [
      "36208",
      "389004"
    ],
    [
      "112149/4",
      "17254755/8"
    ],
    [
      "-69264",
      "-2594700"
    ]
  ],
  "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 17:25:09",
  "updated_at": "2026-09-24 17:25:09"
}