{
  "id": 1272,
  "curve_key": "769216:-627384320",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-16025",
    "731481"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "naive_height": 40.659381279937385,
  "faltings_height": 1.3443368202050219,
  "conductor": "232106304",
  "bad_primes": [
    "2",
    "3",
    "17",
    "47",
    "89"
  ],
  "discriminant": "35606963884032",
  "regulator": "26.8540410689644495381685891911531519528800768633",
  "points": [
    [
      "-37",
      "1128"
    ],
    [
      "245",
      "3384"
    ],
    [
      "104",
      "423"
    ],
    [
      "151",
      "1316"
    ],
    [
      "-131",
      "752"
    ]
  ],
  "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 17:16:38",
  "updated_at": "2026-09-24 17:16:38"
}