{
  "id": 1130,
  "curve_key": "6265:-491725",
  "ainvs": [
    "1",
    "0",
    "1",
    "-131",
    "558"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "naive_height": 26.228201601990506,
  "faltings_height": 0.04328651192011767,
  "conductor": "59450",
  "bad_primes": [
    "2",
    "5",
    "29",
    "41"
  ],
  "discriminant": "2378000",
  "regulator": "2.5256934463377690704964308580045933536470083",
  "points": [
    [
      "3",
      "12"
    ],
    [
      "6",
      "-4"
    ],
    [
      "8",
      "2"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 59450i1, rank exactly 3 according to Cremona's tables. Witness generators from https://github.com/JohnCremona/ecdata/blob/master/allgens/allgens.50000-59999 . 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 21:36:58",
  "updated_at": "2026-09-23 21:36:58"
}