{
  "id": 4354,
  "curve_key": "468055971648:-320218016866053120",
  "ainvs": [
    "0",
    "0",
    "0",
    "-9751166076",
    "370622704706080"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4
  ],
  "family": null,
  "families": [],
  "naive_height": 80.61556116975392,
  "faltings_height": 4.305577010311946,
  "conductor": "233551432224",
  "bad_primes": [
    "2",
    "3",
    "11",
    "67",
    "73",
    "15073"
  ],
  "discriminant": "252011417221218140631281664",
  "regulator": "457.185735633712647721658065473995903317499021013",
  "points": [
    [
      "-1539",
      "19637365"
    ],
    [
      "58158",
      "474628"
    ],
    [
      "65528",
      "3608352"
    ],
    [
      "57086",
      "12060"
    ],
    [
      "56838",
      "66308"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-10-17 10:08:35"
    }
  ],
  "commentary": "BASE torsion/torsion_Z4.tsv.gz:2325 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:05:59",
  "updated_at": "2026-10-17 10:08:35"
}