{
  "id": 3255,
  "curve_key": "7360:-630136",
  "ainvs": [
    "0",
    "1",
    "1",
    "-153",
    "678"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    3
  ],
  "naive_height": 26.711445635168765,
  "faltings_height": 0.025915160492776444,
  "conductor": "7733",
  "bad_primes": [
    "11",
    "19",
    "37"
  ],
  "discriminant": "935693",
  "regulator": "3.56084541369148350141051218875886944893509",
  "points": [
    [
      "6",
      "3"
    ],
    [
      "74",
      "632"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 7733d1 = LMFDB 7733.c2: https://www.lmfdb.org/EllipticCurve/Q/7733/c/2\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 7733, minimal discriminant 935693, torsion ℤ/3ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:46:43",
  "updated_at": "2026-09-26 20:46:43"
}