{
  "id": 2230,
  "curve_key": "875955166301601:-25579519946028060412401",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-18249065964617",
    "29605930425724894409"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 103.21900807660258,
  "faltings_height": 6.479412874125358,
  "conductor": "1303332030",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "23",
    "37"
  ],
  "discriminant": "10304587789741682692142987983980096000000",
  "regulator": "2.594862753661161587403352240896216628528",
  "points": [
    [
      "-4892433",
      "1337906716"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-21, q=44; A=(3q-p)(p+q)^3=1861551, B=-(p+3q)(p-q)^3=30483375. The listed points are independent modulo torsion by the exact 2-descent Kummer squareclass map. The rank is a proven lower bound; no upper bound is claimed.",
  "created_at": "2026-09-26 19:48:32",
  "updated_at": "2026-09-26 19:48:32"
}