{
  "id": 4323,
  "curve_key": "35492691592932856523374800:-286255353990932446415219189293753080000",
  "ainvs": [
    "0",
    "0",
    "0",
    "-739431074852767844236975",
    "331314067119134775943540728349251250"
  ],
  "rank_lower_bound": 19,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 177.09989521275526,
  "faltings_height": 12.77698742877861,
  "conductor": "40475339116507435307125435712606155771861961364063680791605800",
  "bad_primes": [
    "2",
    "5",
    "7",
    "13",
    "47",
    "127",
    "160113632370089479",
    "392731995558810161",
    "5925062485692821329"
  ],
  "discriminant": "-21545647141446084358635305304038945104284124145535331147329573901436000000",
  "regulator": "1809010806351229991338.264616631306101549205057770566218565312091561805972183",
  "points": [
    [
      "-970718682390",
      "366593095457675450"
    ],
    [
      "-773876344285",
      "663385002986262200"
    ],
    [
      "-10820970435",
      "582506791251917350"
    ],
    [
      "311351425565",
      "362316801738086650"
    ],
    [
      "10634363399210",
      "34570286971702839350"
    ],
    [
      "-8749733599933367910/11042329",
      "23772128359460856772080952450/36693659267"
    ],
    [
      "-18608923652453635/18769",
      "770580049130582074024550/2571353"
    ],
    [
      "-4920357827077050/26569",
      "2943312876653574688299400/4330747"
    ],
    [
      "-1194648346644979/1849",
      "58390111521746084492006/79507"
    ],
    [
      "-9021394543939/25",
      "92799559381149505066/125"
    ],
    [
      "5926057921675/9",
      "9731669860964870000/27"
    ],
    [
      "41550648706489/25",
      "240228569263809726362/125"
    ],
    [
      "45598260503725/81",
      "222858949520975008150/729"
    ],
    [
      "52255360864475/361",
      "3270190783736195299400/6859"
    ],
    [
      "123003296777290/81",
      "1200146417849323085050/729"
    ],
    [
      "2331270815585515/2601",
      "82692167641163187562000/132651"
    ],
    [
      "3732485387760001/324",
      "227421342031485478684951/5832"
    ],
    [
      "10877283897890735/10201",
      "895370166842159983221800/1030301"
    ],
    [
      "386626212348648915/351649",
      "191958701609619723138642800/208527857"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-10-17 10:08:32"
    }
  ],
  "commentary": "BASE families/family_trivial.tsv.gz:114 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:04:49",
  "updated_at": "2026-10-17 10:08:31"
}