{
  "id": 668,
  "curve_key": "1201:-58825",
  "ainvs": [
    "1",
    "0",
    "0",
    "-25",
    "66"
  ],
  "rank_lower_bound": 4,
  "torsion": [],
  "naive_height": 21.964644427191125,
  "faltings_height": -0.14587736442409474,
  "conductor": "1000033",
  "bad_primes": [
    "1000033"
  ],
  "discriminant": "-1000033",
  "regulator": "5.148236317487311697604306605418076590198896108",
  "points": [
    [
      "3",
      "3"
    ],
    [
      "2",
      "4"
    ],
    [
      "-1",
      "10"
    ],
    [
      "5",
      "6"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "LMFDB 1000033.a1. Curve data, generators (3, 3), (2, 4), (-1, 10), (5, 6) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/1000033/a/1",
  "created_at": "2026-09-08 19:18:12",
  "updated_at": "2026-09-08 19:18:12"
}