{
  "id": 1152,
  "curve_key": "-14688:-1844856",
  "ainvs": [
    "0",
    "0",
    "1",
    "306",
    "2135"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    3
  ],
  "naive_height": 28.855823567260625,
  "faltings_height": 0.5244637074488083,
  "conductor": "308691",
  "bad_primes": [
    "3",
    "37",
    "103"
  ],
  "discriminant": "-3803381811",
  "regulator": "15.380671430305728503508639138525967336646338",
  "points": [
    [
      "-3",
      "34"
    ],
    [
      "15",
      "100"
    ],
    [
      "21",
      "133"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 308691b1, rank exactly 3 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 21:37:44",
  "updated_at": "2026-09-23 21:37:44"
}