{
  "id": 1657,
  "curve_key": "-36257744380784:-957689396088233960152",
  "ainvs": [
    "0",
    "1",
    "1",
    "755369674600",
    "1108437052817940098"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    5
  ],
  "naive_height": 96.62211035618073,
  "faltings_height": 6.115760300993936,
  "conductor": "11277313955817",
  "bad_primes": [
    "3",
    "7",
    "13",
    "23",
    "107",
    "659",
    "25471"
  ],
  "discriminant": "-558353172065255258963434938348960014811",
  "regulator": "1714.03653142782501794595568909688208828265779816",
  "points": [
    [
      "-3103187/4",
      "1884722927/8"
    ],
    [
      "-664169",
      "560148049"
    ],
    [
      "6334147",
      "16125385594"
    ],
    [
      "63378862",
      "504612999754"
    ],
    [
      "22337407",
      "105657223990"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/5. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 02:31:30",
  "updated_at": "2026-09-25 02:31:30"
}