{
  "id": 1365,
  "curve_key": "2568900344464:-1518961904864212672",
  "ainvs": [
    "0",
    "1",
    "0",
    "-53518757176",
    "1758039920673780"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    2
  ],
  "naive_height": 85.7234971252102,
  "faltings_height": 5.203028413037265,
  "conductor": "1320567443182219149040",
  "bad_primes": [
    "2",
    "5",
    "29",
    "71",
    "89",
    "229",
    "401",
    "557",
    "631",
    "2791"
  ],
  "discriminant": "8475444276013003362329623897425920",
  "regulator": "2573472.0961797332058169021971462846687847751977722471945",
  "points": [
    [
      "-219476",
      "-54148634"
    ],
    [
      "-11246",
      "-48564284"
    ],
    [
      "-80329",
      "74423194"
    ],
    [
      "840154",
      "-741501716"
    ],
    [
      "5084",
      "38549734"
    ],
    [
      "-34214",
      "-59574164"
    ],
    [
      "10911594/25",
      "-31010544228/125"
    ],
    [
      "212759",
      "1523234"
    ],
    [
      "8436",
      "36154614"
    ]
  ],
  "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 17:39:22",
  "updated_at": "2026-09-24 17:39:22"
}