{
  "id": 1060,
  "curve_key": "100615009:-971814892177",
  "ainvs": [
    "1",
    "0",
    "0",
    "-2096146",
    "1124611076"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    12
  ],
  "naive_height": 55.28043599799746,
  "faltings_height": 2.5317437968087253,
  "conductor": "6630",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "17"
  ],
  "discriminant": "42904970360310988800",
  "regulator": "1.267004719860632017573282596365937965919",
  "points": [
    [
      "676",
      "3742"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 6630w1 = LMFDB 6630.v7: https://www.lmfdb.org/EllipticCurve/Q/6630/v/7\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 6630, minimal discriminant 42904970360310988800, torsion ℤ/12ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-23 15:22:55",
  "updated_at": "2026-09-23 15:22:55"
}