{
  "id": 4502,
  "curve_key": "522267576016:-336739223549447360",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-10880574500",
    "389748098558916"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 80.94433767368254,
  "faltings_height": 4.722969535962386,
  "conductor": "399231976906179971112",
  "bad_primes": [
    "2",
    "3",
    "13",
    "29",
    "37",
    "163",
    "193",
    "2617",
    "2833",
    "5113"
  ],
  "discriminant": "16818394683268334654947380402432",
  "regulator": "318601.55183115490729561330712051139489585228288706489144",
  "points": [
    [
      "-102260",
      "20809646"
    ],
    [
      "-79640",
      "27407146"
    ],
    [
      "7076",
      "17694954"
    ],
    [
      "9680",
      "16891746"
    ],
    [
      "5517128",
      "12956640822"
    ],
    [
      "2371228",
      "-3647922722"
    ],
    [
      "-51115",
      "28501854"
    ],
    [
      "4936732/9",
      "10781823754/27"
    ],
    [
      "77166",
      "-3102216"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z2.tsv.gz:644939 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:32:41",
  "updated_at": "2026-10-17 10:32:41"
}