{
  "id": 1535,
  "curve_key": "851785456:-20936649686104",
  "ainvs": [
    "0",
    "1",
    "1",
    "-17745530",
    "24226318256"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    5
  ],
  "naive_height": 61.688535722631,
  "faltings_height": 3.137488539195596,
  "conductor": "5119455",
  "bad_primes": [
    "3",
    "5",
    "11",
    "19",
    "23",
    "71"
  ],
  "discriminant": "103969797753824658253125",
  "regulator": "5.4532775811801283499658959919227426480887421",
  "points": [
    [
      "-1155/4",
      "1369991/8"
    ],
    [
      "3190",
      "9487"
    ],
    [
      "-28655/16",
      "14348863/64"
    ]
  ],
  "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 00:51:31",
  "updated_at": "2026-09-25 00:51:31"
}