{
  "id": 2375,
  "curve_key": "9255728126569:-28119492959207542453",
  "ainvs": [
    "1",
    "0",
    "1",
    "-192827669304",
    "32545693374554806"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 89.56879119815643,
  "faltings_height": 5.249931001667794,
  "conductor": "92452290",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "19",
    "29",
    "47"
  ],
  "discriminant": "1283848328124373529041411762803600",
  "regulator": "9.386602299668275708883810202434725185970",
  "points": [
    [
      "-505759",
      "26727327"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-28, q=19; A=(3q-p)(p+q)^3=-61965, B=-(p+3q)(p-q)^3=3010867. 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 19:57:39",
  "updated_at": "2026-09-26 19:57:39"
}