{
  "id": 1059,
  "curve_key": "36961:-145985041",
  "ainvs": [
    "1",
    "0",
    "0",
    "-770",
    "168900"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    8
  ],
  "naive_height": 37.598029431038455,
  "faltings_height": 1.1909859934638414,
  "conductor": "6510",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "31"
  ],
  "discriminant": "-12303900000000",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 6510z1 = LMFDB 6510.bb5: https://www.lmfdb.org/EllipticCurve/Q/6510/bb/5\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 6510, minimal discriminant -12303900000000, torsion ℤ/8ℤ.",
  "created_at": "2026-09-23 15:22:55",
  "updated_at": "2026-09-23 15:22:55"
}