{
  "id": 3032,
  "curve_key": "81889:-23433553",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1706",
    "26980"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6
  ],
  "naive_height": 33.93935985205931,
  "faltings_height": 0.37991596407932504,
  "conductor": "310",
  "bad_primes": [
    "2",
    "5",
    "31"
  ],
  "discriminant": "307520",
  "regulator": "1.955238214193080114557686735051412748574",
  "points": [
    [
      "36",
      "94"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 310b2 = LMFDB 310.a2: https://www.lmfdb.org/EllipticCurve/Q/310/a/2\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 310, minimal discriminant 307520, torsion ℤ/6ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:34:09",
  "updated_at": "2026-09-26 20:34:09"
}