{
  "id": 3294,
  "curve_key": "29536:-5006816",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-615",
    "6000"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    4
  ],
  "naive_height": 30.880095411907735,
  "faltings_height": 0.4521847348237157,
  "conductor": "30360",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "23"
  ],
  "discriminant": "404091600",
  "regulator": "4.17980490703293174013411532907279159316306",
  "points": [
    [
      "25",
      "75"
    ],
    [
      "17",
      "13"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 30360x1 = LMFDB 30360.m3: https://www.lmfdb.org/EllipticCurve/Q/30360/m/3\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 30360, minimal discriminant 404091600, torsion ℤ/4ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:53:03",
  "updated_at": "2026-09-26 20:53:03"
}