{
  "id": 4536,
  "curve_key": "19482217561267696:-2745403845459319672242200",
  "ainvs": [
    "0",
    "-1",
    "1",
    "-405879532526410",
    "3177550882352575277602"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    5
  ],
  "family": null,
  "families": [],
  "naive_height": 112.54394083276671,
  "faltings_height": 7.241498930285318,
  "conductor": "2831065189961723",
  "bad_primes": [
    "11",
    "13",
    "19",
    "23",
    "29",
    "137",
    "11402861"
  ],
  "discriminant": "-82542881183348809079303503884813387831334763",
  "regulator": "4226.09675661448688650017789277120701883346082659",
  "points": [
    [
      "-19550497",
      "60332978790"
    ],
    [
      "-1347280190/81",
      "-53206396073783/729"
    ],
    [
      "6054589",
      "30693101939"
    ],
    [
      "17956342945/1849",
      "-979548594684643/79507"
    ],
    [
      "399137185/64",
      "15264469155537/512"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z5.tsv.gz:1322 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:34:25",
  "updated_at": "2026-10-17 10:34:25"
}