{
  "id": 3095,
  "curve_key": "19593015601:2682566447752151",
  "ainvs": [
    "1",
    "0",
    "0",
    "-408187825",
    "-3104856293143"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    10
  ],
  "naive_height": 71.09531697836546,
  "faltings_height": 3.8248285434536684,
  "conductor": "77610",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "199"
  ],
  "discriminant": "188267790084341760000000000",
  "regulator": "5.122020936482039227180369386616991212396",
  "points": [
    [
      "75314",
      "19795403"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 77610ba1 = LMFDB 77610.bb4: https://www.lmfdb.org/EllipticCurve/Q/77610/bb/4\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 77610, minimal discriminant 188267790084341760000000000, torsion ℤ/10ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:37:04",
  "updated_at": "2026-09-26 20:37:04"
}