{
  "id": 4519,
  "curve_key": "3339587143600:-6333025341354306400",
  "ainvs": [
    "0",
    "1",
    "0",
    "-69574732158",
    "7329867249804913"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 86.58461946579237,
  "faltings_height": 5.1389306402542205,
  "conductor": "265300607396278300",
  "bad_primes": [
    "2",
    "5",
    "7",
    "11",
    "37",
    "47",
    "59",
    "1361",
    "246739"
  ],
  "discriminant": "-1655857204259630955951681768070000",
  "regulator": "11288.29830708835002545854478424181846650731674964792",
  "points": [
    [
      "171813",
      "21164185"
    ],
    [
      "-210212",
      "112544565"
    ],
    [
      "-746979/4",
      "940132963/8"
    ],
    [
      "-26322",
      "95618915"
    ],
    [
      "-287883/4",
      "875056105/8"
    ],
    [
      "-577742/9",
      "2899401659/27"
    ],
    [
      "72693",
      "51540335"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z3.tsv.gz:4846 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:33:26",
  "updated_at": "2026-10-17 10:33:26"
}