{
  "id": 1327,
  "curve_key": "5728966416:-371575292137920",
  "ainvs": [
    "0",
    "0",
    "0",
    "-119353467",
    "430063995530"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "naive_height": 67.40640291075177,
  "faltings_height": 3.6090564634819113,
  "conductor": "24414611509584",
  "bad_primes": [
    "2",
    "3",
    "19",
    "61",
    "73",
    "97",
    "283"
  ],
  "discriminant": "28913501710174015054559232",
  "regulator": "1305.821630218941956791772692123440679375631246178245",
  "points": [
    [
      "8833",
      "254916"
    ],
    [
      "4177",
      "66348"
    ],
    [
      "15041",
      "1427452"
    ],
    [
      "-9863",
      "804852"
    ],
    [
      "63097/121",
      "807388812/1331"
    ],
    [
      "1849",
      "464436"
    ],
    [
      "22849/9",
      "10224964/27"
    ]
  ],
  "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 17:32:49",
  "updated_at": "2026-09-24 17:32:49"
}