{
  "id": 3313,
  "curve_key": "-1511:-855037",
  "ainvs": [
    "1",
    "0",
    "1",
    "31",
    "992"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6
  ],
  "naive_height": 27.317800043672737,
  "faltings_height": 0.3350096366455783,
  "conductor": "3570",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17"
  ],
  "discriminant": "-425079900",
  "regulator": "1.137459011443637370220978692598656233243",
  "points": [
    [
      "6",
      "34"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 3570j1 = LMFDB 3570.j4: https://www.lmfdb.org/EllipticCurve/Q/3570/j/4\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 3570, minimal discriminant -425079900, torsion ℤ/6ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:56:07",
  "updated_at": "2026-09-26 20:56:07"
}