{
  "id": 2878,
  "curve_key": "1209:39123",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-25",
    "-39"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    2,
    2
  ],
  "naive_height": 21.292646551844378,
  "faltings_height": -0.27006285355090326,
  "conductor": "370",
  "bad_primes": [
    "2",
    "5",
    "37"
  ],
  "discriminant": "136900",
  "regulator": "1.209982416984587453877766694425763746358",
  "points": [
    [
      "8",
      "11"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 370a2 = LMFDB 370.b2: https://www.lmfdb.org/EllipticCurve/Q/370/b/2\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 370, minimal discriminant 136900, torsion ℤ/2ℤ × ℤ/2ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:26:32",
  "updated_at": "2026-09-26 20:26:32"
}