{
  "id": 680,
  "curve_key": "27601:-4565305",
  "ainvs": [
    "1",
    "0",
    "0",
    "-575",
    "5236"
  ],
  "rank_lower_bound": 5,
  "torsion": [],
  "naive_height": 30.67682184879882,
  "faltings_height": 0.3870572796607366,
  "conductor": "106974317",
  "bad_primes": [
    "106974317"
  ],
  "discriminant": "106974317",
  "regulator": "29.3580713129526552732270728499713880276791800541",
  "points": [
    [
      "13",
      "-6"
    ],
    [
      "15",
      "-1"
    ],
    [
      "12",
      "4"
    ],
    [
      "16",
      "6"
    ],
    [
      "11",
      "11"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "LMFDB 106974317.a1. Curve data, generators (13, -6), (15, -1), (12, 4), (16, 6), (11, 11) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/106974317/a/1",
  "created_at": "2026-09-08 19:27:46",
  "updated_at": "2026-09-08 19:27:46"
}