{
  "id": 1171,
  "curve_key": "40336:-34629400",
  "ainvs": [
    "0",
    "1",
    "1",
    "-840",
    "39800"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    5
  ],
  "naive_height": 34.72042718042121,
  "faltings_height": 0.9497040182896582,
  "conductor": "13881",
  "bad_primes": [
    "3",
    "7",
    "661"
  ],
  "discriminant": "-656000554923",
  "regulator": "2.21353449593632858694046066950438543037200",
  "points": [
    [
      "0",
      "199"
    ],
    [
      "-42",
      "52"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 13881d1, rank exactly 2 according to Cremona's tables. Witness generators from https://github.com/JohnCremona/ecdata/blob/master/allgens/allgens.10000-19999 . 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 21:38:16",
  "updated_at": "2026-09-23 21:38:16"
}