{
  "id": 3312,
  "curve_key": "-4671:249183",
  "ainvs": [
    "1",
    "-1",
    "1",
    "97",
    "-313"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6
  ],
  "naive_height": 25.347385381506324,
  "faltings_height": 0.21792775779681883,
  "conductor": "1170",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13"
  ],
  "discriminant": "-94910400",
  "regulator": "1.566843340808092581706402213315458758781",
  "points": [
    [
      "13",
      "48"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 1170i1 = LMFDB 1170.h4: https://www.lmfdb.org/EllipticCurve/Q/1170/h/4\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 1170, minimal discriminant -94910400, torsion ℤ/6ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:55:58",
  "updated_at": "2026-09-26 20:55:58"
}