{
  "id": 2547,
  "curve_key": "4617:-919269",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-96",
    "1088"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    3
  ],
  "naive_height": 27.462668135947155,
  "faltings_height": 0.34194526286377563,
  "conductor": "378",
  "bad_primes": [
    "2",
    "3",
    "7"
  ],
  "discriminant": "-432081216",
  "regulator": "3.908920327579127250705252956348862168905",
  "points": [
    [
      "64/9",
      "632/27"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "3-isogenous to S-2130; original source https://elliptic-rank.icarm.cloud/curve/2130. Rational 3-torsion kernel with x=7; independent point witnesses transported by explicit Vélu map.",
  "created_at": "2026-09-26 20:08:24",
  "updated_at": "2026-09-26 20:08:24"
}