{
  "id": 4368,
  "curve_key": "513282995536:-365448667685677784",
  "ainvs": [
    "0",
    "-1",
    "1",
    "-10693395740",
    "422976559471818"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    5
  ],
  "family": null,
  "families": [],
  "naive_height": 80.89227953470068,
  "faltings_height": 4.5859269893985966,
  "conductor": "31150565605",
  "bad_primes": [
    "5",
    "31",
    "67",
    "223",
    "13451"
  ],
  "discriminant": "970207476360225126363917753125",
  "regulator": "1185.013453499569272199063309274188439393844152",
  "points": [
    [
      "-711",
      "20750402"
    ],
    [
      "1023316/9",
      "702546434/27"
    ],
    [
      "169135599/961",
      "1882416313637/29791"
    ],
    [
      "14773906691/16129",
      "1784754469989321/2048383"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE families/family_Z5.tsv.gz:11 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:06:30",
  "updated_at": "2026-10-17 10:06:30"
}