{
  "id": 4378,
  "curve_key": "4182502993:-270491874641785",
  "ainvs": [
    "1",
    "0",
    "0",
    "-87135479",
    "313062038064"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4
  ],
  "family": null,
  "families": [],
  "naive_height": 66.46252711927714,
  "faltings_height": 3.084794398087538,
  "conductor": "532725963",
  "bad_primes": [
    "3",
    "7",
    "11",
    "37",
    "157",
    "397"
  ],
  "discriminant": "32532353639337135969",
  "regulator": "57.28862439650102662097489732204084968734124771",
  "points": [
    [
      "4303",
      "131251"
    ],
    [
      "2125",
      "369742"
    ],
    [
      "5245",
      "15637"
    ],
    [
      "-416",
      "591172"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z4.tsv.gz:25 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:06:50",
  "updated_at": "2026-10-17 10:06:50"
}