{
  "id": 2725,
  "curve_key": "2553601:-4115190401",
  "ainvs": [
    "1",
    "1",
    "1",
    "-53200",
    "4740785"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    8
  ],
  "naive_height": 44.27590187998574,
  "faltings_height": 1.5471411268470976,
  "conductor": "2370",
  "bad_primes": [
    "2",
    "3",
    "5",
    "79"
  ],
  "discriminant": "-163814400000000",
  "regulator": "1.742696834253500858545760119447842502969",
  "points": [
    [
      "93",
      "733"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 2370i1 = LMFDB 2370.j6: https://www.lmfdb.org/EllipticCurve/Q/2370/j/6\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 2370, minimal discriminant -163814400000000, torsion ℤ/8ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:19:31",
  "updated_at": "2026-09-26 20:19:31"
}