{
  "id": 4375,
  "curve_key": "2661337:-4168454941",
  "ainvs": [
    "1",
    "0",
    "1",
    "-55445",
    "4819980"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 44.38301755817967,
  "faltings_height": 1.6271149895227126,
  "conductor": "61219522",
  "bad_primes": [
    "2",
    "7",
    "13",
    "29",
    "1657"
  ],
  "discriminant": "852704805349124",
  "regulator": "16.33801589635236161177253403392367336443855926",
  "points": [
    [
      "-177",
      "3104"
    ],
    [
      "-206",
      "2843"
    ],
    [
      "-73",
      "2948"
    ],
    [
      "-255",
      "1674"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z3.tsv.gz:13 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:06:41",
  "updated_at": "2026-10-17 10:06:41"
}