{
  "id": 1172,
  "curve_key": "113521:-38220425",
  "ainvs": [
    "1",
    "1",
    "1",
    "-2365",
    "43251"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    5
  ],
  "naive_height": 34.919229362446686,
  "faltings_height": 0.6721829089641932,
  "conductor": "5302",
  "bad_primes": [
    "2",
    "11",
    "241"
  ],
  "discriminant": "1242025312",
  "regulator": "3.17968053395106900607241719756962463160199",
  "points": [
    [
      "27",
      "-12"
    ],
    [
      "35",
      "52"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 5302i1, rank exactly 2 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 21:38:17",
  "updated_at": "2026-09-23 21:38:17"
}