{
  "id": 4357,
  "curve_key": "11647698400:-1155043377692000",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-242660383",
    "1336936648012"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4
  ],
  "family": null,
  "families": [],
  "naive_height": 69.53512330562512,
  "faltings_height": 3.7579752773617487,
  "conductor": "101769397800",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "31",
    "71",
    "101",
    "109"
  ],
  "discriminant": "142421857096345427711250000",
  "regulator": "405.441563046025393611440936489344364708349907845",
  "points": [
    [
      "55032",
      "12435650"
    ],
    [
      "12787",
      "569775"
    ],
    [
      "231217/16",
      "58931775/64"
    ],
    [
      "-8797",
      "1670559"
    ],
    [
      "11291",
      "190743"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z4.tsv.gz:2317 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:06:07",
  "updated_at": "2026-10-17 10:06:07"
}