{
  "id": 4356,
  "curve_key": "1540520848:-5240439927016640",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-32094184",
    "6065334687664"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4
  ],
  "family": null,
  "families": [],
  "naive_height": 72.39036369051419,
  "faltings_height": 4.090225434777422,
  "conductor": "170491252272",
  "bad_primes": [
    "2",
    "3",
    "11",
    "89",
    "97",
    "113",
    "331"
  ],
  "discriminant": "-15890367278754253287089319936",
  "regulator": "2598.18950164178565758815251552696372452336160965",
  "points": [
    [
      "-9414",
      "2352250"
    ],
    [
      "-4855",
      "2471172"
    ],
    [
      "18813",
      "3481330"
    ],
    [
      "341636",
      "199672440"
    ],
    [
      "74394",
      "20381446"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-10-17 10:08:36"
    }
  ],
  "commentary": "BASE torsion/torsion_Z4.tsv.gz:2323 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:06:03",
  "updated_at": "2026-10-17 10:08:36"
}