{
  "id": 4376,
  "curve_key": "2488192:-4364124544",
  "ainvs": [
    "0",
    "1",
    "0",
    "-51837",
    "5033791"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 44.39336688693019,
  "faltings_height": 1.6722896655152697,
  "conductor": "67767916",
  "bad_primes": [
    "2",
    "17",
    "41",
    "109",
    "223"
  ],
  "discriminant": "-2107024864258816",
  "regulator": "43.65124063445715591666735046554949687232348869",
  "points": [
    [
      "762",
      "20213"
    ],
    [
      "-263",
      "738"
    ],
    [
      "2853",
      "151946"
    ],
    [
      "-54",
      "2771"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z3.tsv.gz:15 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:06:43",
  "updated_at": "2026-10-17 10:06:43"
}