{
  "id": 4331,
  "curve_key": "2183896835392:-3275828773118837344",
  "ainvs": [
    "0",
    "1",
    "0",
    "-45497850737",
    "3791453321455816"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 85.26620514291987,
  "faltings_height": 4.987752215513758,
  "conductor": "97496466025975564",
  "bad_primes": [
    "2",
    "17",
    "19",
    "23",
    "41",
    "71",
    "109",
    "10340221"
  ],
  "discriminant": "-182387047474083046526684049136816",
  "regulator": "11595.75804659319308821360191863779387481452793219767",
  "points": [
    [
      "143587",
      "14796613"
    ],
    [
      "119092",
      "7880858"
    ],
    [
      "171348",
      "32036194"
    ],
    [
      "1142983",
      "1202079061"
    ],
    [
      "113871",
      "9332779"
    ],
    [
      "1847503/9",
      "1503785609/27"
    ],
    [
      "1934637/4",
      "2464815907/8"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z3.tsv.gz:4799 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:05:10",
  "updated_at": "2026-10-17 10:05:10"
}