{
  "id": 2551,
  "curve_key": "77590489:646026193763",
  "ainvs": [
    "1",
    "0",
    "1",
    "-1616469",
    "-747850208"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    2,
    2
  ],
  "naive_height": 54.50086623962647,
  "faltings_height": 2.4856674297649213,
  "conductor": "2310",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11"
  ],
  "discriminant": "28800309694464000000",
  "regulator": "4.991286302704546531762440602478766104752",
  "points": [
    [
      "-20869/25",
      "611214/125"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "3-isogenous to S-1047; original source https://elliptic-rank.icarm.cloud/curve/1047. Rational 3-torsion kernel with x=374; independent point witnesses transported by explicit Vélu map.",
  "created_at": "2026-09-26 20:08:39",
  "updated_at": "2026-09-26 20:08:39"
}