{
  "id": 1330,
  "curve_key": "236767754896:-112079720940840640",
  "ainvs": [
    "0",
    "1",
    "0",
    "-4932661560",
    "129720255016564"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "naive_height": 78.57103668144467,
  "faltings_height": 4.457876930443098,
  "conductor": "48324055603376",
  "bad_primes": [
    "2",
    "7",
    "29",
    "37",
    "71",
    "109",
    "223",
    "233"
  ],
  "discriminant": "411511901229326906098910554112",
  "regulator": "917.1874590035688539494380482725173489168732285883699",
  "points": [
    [
      "-75868",
      "8201494"
    ],
    [
      "-20701",
      "14931868"
    ],
    [
      "2056186/81",
      "3329806564/729"
    ],
    [
      "20914",
      "5975508"
    ],
    [
      "72650",
      "12442508"
    ],
    [
      "31876",
      "2208234"
    ],
    [
      "145794",
      "50095612"
    ]
  ],
  "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 17:33:20",
  "updated_at": "2026-09-24 17:33:20"
}