{
  "id": 1054,
  "curve_key": "1531201:-1393336801",
  "ainvs": [
    "1",
    "0",
    "0",
    "-31900",
    "1610000"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 42.72468885828949,
  "faltings_height": 1.582778920911671,
  "conductor": "4290",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13"
  ],
  "discriminant": "954068544000000",
  "regulator": "1.072602621112355346232571397275582832293",
  "points": [
    [
      "50",
      "350"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 4290bb2 = LMFDB 4290.bb6: https://www.lmfdb.org/EllipticCurve/Q/4290/bb/6\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 4290, minimal discriminant 954068544000000, torsion ℤ/2ℤ × ℤ/6ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-23 15:21:51",
  "updated_at": "2026-09-23 15:21:51"
}