{
  "id": 676,
  "curve_key": "1456:-345880",
  "ainvs": [
    "0",
    "1",
    "1",
    "-30",
    "390"
  ],
  "rank_lower_bound": 5,
  "torsion": [],
  "naive_height": 25.50769434614873,
  "faltings_height": 0.18305163798217622,
  "conductor": "67445803",
  "bad_primes": [
    "67445803"
  ],
  "discriminant": "-67445803",
  "regulator": "26.5142395008090307755820533842619643591720333222",
  "points": [
    [
      "2",
      "18"
    ],
    [
      "-9",
      "3"
    ],
    [
      "-7",
      "17"
    ],
    [
      "-4",
      "21"
    ],
    [
      "15",
      "59"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "LMFDB 67445803.a1. Curve data, generators (2, 18), (-9, 3), (-7, 17), (-4, 21), (15, 59) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/67445803/a/1",
  "created_at": "2026-09-08 19:27:06",
  "updated_at": "2026-09-08 19:27:06"
}