{
  "id": 1212,
  "curve_key": "6582436321:-533888226704465",
  "ainvs": [
    "1",
    "1",
    "1",
    "-137134090",
    "617869049111"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "naive_height": 67.82301232591169,
  "faltings_height": 3.383009568984208,
  "conductor": "99939775325826",
  "bad_primes": [
    "2",
    "3",
    "23",
    "73",
    "109",
    "193",
    "409",
    "1153"
  ],
  "discriminant": "98519882167161631014912",
  "regulator": "20568.66902004134539277725433441163266428746956538921",
  "points": [
    [
      "-311",
      "812859"
    ],
    [
      "6881",
      "7107"
    ],
    [
      "7973",
      "173247"
    ],
    [
      "8609",
      "270339"
    ],
    [
      "54097/9",
      "2724473/27"
    ],
    [
      "80041/9",
      "8493977/27"
    ],
    [
      "194529/25",
      "18055823/125"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\r\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 13:36:52",
  "updated_at": "2026-09-24 13:36:52"
}