{
  "id": 4351,
  "curve_key": "28468600137:-4803404585953221",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-593095836",
    "5559644322516"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 72.21620270180954,
  "faltings_height": 3.4374434625983525,
  "conductor": "230626081062",
  "bad_primes": [
    "2",
    "3",
    "13",
    "31",
    "37",
    "43",
    "6661"
  ],
  "discriminant": "20465260742358948204",
  "regulator": "5808.88947170441240455399530559635345677631026053",
  "points": [
    [
      "-3641/4",
      "19760167/8"
    ],
    [
      "94009",
      "27892560"
    ],
    [
      "13981",
      "9380"
    ],
    [
      "1963096/121",
      "595500514/1331"
    ],
    [
      "613998202/43681",
      "-55990717632/9129329"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z3.tsv.gz:131 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:05:54",
  "updated_at": "2026-10-17 10:05:54"
}