{
  "id": 4350,
  "curve_key": "49651113841:-8186621345265961",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1034398205",
    "9475169986800"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2,
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 73.88485998312888,
  "faltings_height": 4.178611921191873,
  "conductor": "19891394744835",
  "bad_primes": [
    "3",
    "5",
    "29",
    "181",
    "349",
    "709",
    "1021"
  ],
  "discriminant": "32049074376482805835493355225",
  "regulator": "3935.9187482292263367326897986589068192424799813738",
  "points": [
    [
      "108595/4",
      "9366755/8"
    ],
    [
      "-4523",
      "3752092"
    ],
    [
      "10135",
      "175540"
    ],
    [
      "70624/9",
      "-36743956/27"
    ],
    [
      "25927",
      "-304283"
    ],
    [
      "7465",
      "1469155"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z2xZ2.tsv.gz:58 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:05:51",
  "updated_at": "2026-10-17 10:05:51"
}