{
  "id": 4373,
  "curve_key": "1257417:-1749640581",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-26196",
    "2031596"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 42.56535244300458,
  "faltings_height": 1.551879816596062,
  "conductor": "69812118",
  "bad_primes": [
    "2",
    "3",
    "19",
    "37",
    "613"
  ],
  "discriminant": "-621031986443916",
  "regulator": "19.20116789751017954265081275051284399506030097",
  "points": [
    [
      "740",
      "19314"
    ],
    [
      "-185",
      "814"
    ],
    [
      "2146",
      "98050"
    ],
    [
      "-148",
      "1702"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z3.tsv.gz:17 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:06:38",
  "updated_at": "2026-10-17 10:06:38"
}