{
  "id": 4377,
  "curve_key": "50399233:-858877571681",
  "ainvs": [
    "1",
    "1",
    "1",
    "-1049984",
    "993633770"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4
  ],
  "family": null,
  "families": [],
  "naive_height": 54.9577844490736,
  "faltings_height": 2.629997172034789,
  "conductor": "204122451",
  "bad_primes": [
    "3",
    "13",
    "17",
    "37",
    "53",
    "157"
  ],
  "discriminant": "-352808138863346323833",
  "regulator": "191.9083231821227459340530962909442030070660897",
  "points": [
    [
      "-986",
      "33227"
    ],
    [
      "-690",
      "37630"
    ],
    [
      "-1300",
      "13445"
    ],
    [
      "9804",
      "961102"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z4.tsv.gz:11 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:06:49",
  "updated_at": "2026-10-17 10:06:49"
}