{
  "id": 1723,
  "curve_key": "25004818747999117441:-128994943276226255418162669761",
  "ainvs": [
    "1",
    "1",
    "1",
    "-520933723916648280",
    "149299702648946892139084825"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    5
  ],
  "naive_height": 134.059141430047,
  "faltings_height": 9.087197523868198,
  "conductor": "1250201285870129810",
  "bad_primes": [
    "2",
    "5",
    "7",
    "43",
    "139",
    "349",
    "8561960471"
  ],
  "discriminant": "-581978296702355419780532789088264694519235995750400000",
  "regulator": "69941.747072182557268090402948270784189671853336199",
  "points": [
    [
      "846448493",
      "17742613872853"
    ],
    [
      "11508938333",
      "1232300192295653"
    ],
    [
      "32796677173/81",
      "1589448199374037/729"
    ],
    [
      "-39809359019/49",
      "2065983360817755/343"
    ],
    [
      "354577255",
      "-3027996451175"
    ],
    [
      "3227615521/9",
      "79190478803875/27"
    ]
  ],
  "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 06:16:07",
  "updated_at": "2026-09-25 06:16:07"
}