{
  "id": 2460,
  "curve_key": "359806241601:-215052066942322401",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-7495963367",
    "248904729248159"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 79.82649451719116,
  "faltings_height": 4.474515566522126,
  "conductor": "155610",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "19"
  ],
  "discriminant": "192891074497744896000000000000",
  "regulator": "2.214500876940768837982944054029164152594",
  "points": [
    [
      "-86933",
      "15649966"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-9, q=16; A=(3q-p)(p+q)^3=19551, B=-(p+3q)(p-q)^3=609375. 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 20:02:57",
  "updated_at": "2026-09-26 20:02:57"
}