{
  "id": 1181,
  "curve_key": "726778081:-19593033626321",
  "ainvs": [
    "1",
    "1",
    "1",
    "-15141210",
    "22670813415"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    8
  ],
  "naive_height": 61.21239520741102,
  "faltings_height": 2.6918699773650894,
  "conductor": "308490",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "113"
  ],
  "discriminant": "1071664035482476800",
  "regulator": "5.34385037846615349708486300991640982157832",
  "points": [
    [
      "2185",
      "3899"
    ],
    [
      "1093",
      "85643"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 308490bx1, rank exactly 2 according to Cremona's tables. Witness generators from https://github.com/JohnCremona/ecdata/blob/master/allgens/allgens.300000-309999 . 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 21:38:35",
  "updated_at": "2026-09-23 21:38:35"
}