{
  "id": 1717,
  "curve_key": "2491693073540441521:-3933161843936547332722830569",
  "ainvs": [
    "1",
    "1",
    "1",
    "-51910272365425865",
    "4552270631075057038390647"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    5
  ],
  "naive_height": 127.07848230756521,
  "faltings_height": 7.972034449755268,
  "conductor": "89136035982910",
  "bad_primes": [
    "2",
    "5",
    "7",
    "19",
    "43",
    "89",
    "17512301"
  ],
  "discriminant": "1602595440072470114110607290670770000000000",
  "regulator": "2894.03282701628267585998460893429048348562901391",
  "points": [
    [
      "103622607",
      "534602868696"
    ],
    [
      "131543577",
      "-57552984"
    ],
    [
      "147204607",
      "317172270696"
    ],
    [
      "116233857",
      "298094288696"
    ],
    [
      "69108791803/529",
      "216979513532832/12167"
    ]
  ],
  "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 06:15:08",
  "updated_at": "2026-09-25 06:15:08"
}