{
  "id": 2396,
  "curve_key": "3510107404609:5804855873803088927",
  "ainvs": [
    "1",
    "0",
    "0",
    "-73127237596",
    "-6718589281208560"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 86.6600032576256,
  "faltings_height": 5.2035176897878035,
  "conductor": "8592990",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "29",
    "83"
  ],
  "discriminant": "5527296940055837081531319234662400",
  "regulator": "6.147690265069557724263156266226542418072",
  "points": [
    [
      "-187810",
      "19865090"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-1, q=28; A=(3q-p)(p+q)^3=1673055, B=-(p+3q)(p-q)^3=2024287. 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 19:59:00",
  "updated_at": "2026-09-26 19:59:00"
}