{
  "id": 1138,
  "curve_key": "1953:-74385",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-41",
    "96"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    2,
    2
  ],
  "naive_height": 22.731365792630037,
  "faltings_height": -0.11563390807430526,
  "conductor": "117",
  "bad_primes": [
    "3",
    "13"
  ],
  "discriminant": "1108809",
  "regulator": "0.5651678130897755033243762549403189619899",
  "points": [
    [
      "6",
      "3"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 117a2, rank exactly 1 according to Cremona's tables. Witness generators from https://github.com/JohnCremona/ecdata/blob/master/allgens/allgens.00000-09999 . Found by screening the local allgens tables for missing torsion size records; torsion and independence independently verified by the site.",
  "created_at": "2026-09-23 21:37:19",
  "updated_at": "2026-09-23 21:37:19"
}