{
  "id": 2903,
  "curve_key": "129:-1377",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-3",
    "2"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    2
  ],
  "naive_height": 14.579437213085017,
  "faltings_height": -0.8365013075221392,
  "conductor": "145",
  "bad_primes": [
    "5",
    "29"
  ],
  "discriminant": "145",
  "regulator": "0.5844576298645671120707842100216479683223",
  "points": [
    [
      "0",
      "1"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 145a1 = LMFDB 145.a1: https://www.lmfdb.org/EllipticCurve/Q/145/a/1\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 145, minimal discriminant 145, torsion ℤ/2ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:27:39",
  "updated_at": "2026-09-26 20:27:39"
}