{
  "id": 1278,
  "curve_key": "2765327824:-125805333387968",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-57610996",
    "145627228420"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2,
    2
  ],
  "naive_height": 65.22127508075431,
  "faltings_height": 3.4239840230061613,
  "conductor": "38142501720",
  "bad_primes": [
    "2",
    "3",
    "5",
    "23",
    "29",
    "41",
    "59",
    "197"
  ],
  "discriminant": "3078463525665789459974400",
  "regulator": "108.264380086691565895756966152674182900717427022",
  "points": [
    [
      "-3792",
      "556370"
    ],
    [
      "-8507",
      "141450"
    ],
    [
      "11296",
      "967518"
    ],
    [
      "159048",
      "63358330"
    ],
    [
      "2464",
      "136482"
    ]
  ],
  "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 17:24:28",
  "updated_at": "2026-09-24 17:24:28"
}