{
  "id": 3197,
  "curve_key": "353899751641459500883975499761:-210465554607314394944657732534989767416700745",
  "ainvs": [
    "1",
    "0",
    "0",
    "-7372911492530406268416156245",
    "243594391906613268628507257344604677608161"
  ],
  "rank_lower_bound": 14,
  "torsion": [
    2
  ],
  "naive_height": 204.1164335892431,
  "faltings_height": 14.743224231157146,
  "conductor": "300953424448851386334317567807295829194402996102",
  "bad_primes": [
    "2",
    "3",
    "23",
    "29",
    "71",
    "73",
    "101",
    "257",
    "307",
    "353",
    "449",
    "1181",
    "3511",
    "4217",
    "16561",
    "204751"
  ],
  "discriminant": "16456496382158491567571999599780229982446629358546306631487625189864201625638141952",
  "regulator": "1433640315429031.36780115455167272376676320979852644640705991918673",
  "points": [
    [
      "-72376481830226",
      "-630940588803637101569"
    ],
    [
      "56312693537242",
      "83547350623177255879"
    ],
    [
      "50545746944914",
      "7938107321308587511"
    ],
    [
      "-24664074799982",
      "-640653456150957147401"
    ],
    [
      "48768170604178",
      "4243475038421673079"
    ],
    [
      "44275623883186",
      "62841111181852200343"
    ],
    [
      "44033644751050",
      "65709829875594008719"
    ],
    [
      "48781448921950",
      "3856666655607214531"
    ],
    [
      "48831932859328",
      "1852759677330985393"
    ],
    [
      "226433646572535934/361",
      "106787838011896189595371765/6859"
    ],
    [
      "153942078863442",
      "1660342552186148579319"
    ],
    [
      "2829817753498450/9",
      "145424908163363854584413/27"
    ],
    [
      "6692769349018554/289",
      "1434645063716592596334423/4913"
    ],
    [
      "270782451612808972/1849",
      "120702043132790721191878453/79507"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella (2001). Source: https://dujella.github.io/tors/z2old141516171819.html (curve entry 54). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:42:12",
  "updated_at": "2026-09-26 20:42:12"
}