{
  "id": 4971,
  "curve_key": "4194358212496:-8590269430030666456",
  "ainvs": [
    "0",
    "1",
    "1",
    "-87382462760",
    "9942412342455314"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    5
  ],
  "family": null,
  "families": [],
  "naive_height": 87.19432354988399,
  "faltings_height": 4.913247709540896,
  "conductor": "46327034985",
  "bad_primes": [
    "3",
    "5",
    "7",
    "11",
    "17",
    "29",
    "81359"
  ],
  "discriminant": "-1673263746076914230037847846875",
  "regulator": "56.04096760361484204165027194443792586182099887",
  "points": [
    [
      "1091269/4",
      "640431221/8"
    ],
    [
      "1219789/4",
      "863606201/8"
    ],
    [
      "2723233/16",
      "35378311/64"
    ],
    [
      "10936129/64",
      "238663169/512"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "From Michael Rubinstein's elliptic-curves-by-rank repository, families/family_Z5.tsv.gz: https://github.com/mrubinst/elliptic-curves-by-rank. Four supplied rational points checked exactly; PARI/GP returned rank bounds [4,4]. Rational torsion C5. Source-attributed existing curve.",
  "created_at": "2026-10-21 00:34:22",
  "updated_at": "2026-10-21 00:34:22"
}