{
  "id": 4372,
  "curve_key": "67142257:-550165871881",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1398797",
    "636649489"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 54.06697249582574,
  "faltings_height": 2.062013154919409,
  "conductor": "60340438",
  "bad_primes": [
    "2",
    "41",
    "43",
    "109",
    "157"
  ],
  "discriminant": "207733301817344",
  "regulator": "38.09079002373009665625241681000995111542183221",
  "points": [
    [
      "34",
      "24255"
    ],
    [
      "-1278",
      "19007"
    ],
    [
      "770",
      "3647"
    ],
    [
      "-950",
      "33767"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z3.tsv.gz:12 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:06:37",
  "updated_at": "2026-10-17 10:06:37"
}