{
  "id": 1151,
  "curve_key": "65920:-16924888",
  "ainvs": [
    "0",
    "1",
    "1",
    "-1373",
    "19131"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    3
  ],
  "naive_height": 33.28859151862176,
  "faltings_height": 0.2463882545004077,
  "conductor": "4123",
  "bad_primes": [
    "7",
    "19",
    "31"
  ],
  "discriminant": "-4123",
  "regulator": "8.66205414346498453038665192864581676451785",
  "points": [
    [
      "17",
      "31"
    ],
    [
      "149/4",
      "1157/8"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 4123c1, 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 21:37:42",
  "updated_at": "2026-09-23 21:37:42"
}