{
  "id": 1149,
  "curve_key": "-1088:-14176",
  "ainvs": [
    "0",
    "1",
    "0",
    "23",
    "24"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    3
  ],
  "naive_height": 20.976289282247663,
  "faltings_height": -0.17238330077757388,
  "conductor": "4396",
  "bad_primes": [
    "2",
    "7",
    "157"
  ],
  "discriminant": "-861616",
  "regulator": "1.77970962523723922563415883298609793992225",
  "points": [
    [
      "-1",
      "1"
    ],
    [
      "5",
      "17"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 4396c1, 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 21:37:38",
  "updated_at": "2026-09-23 21:37:38"
}