{
  "id": 2350,
  "curve_key": "134174007056961:-1554176179806460915041",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-2795291813687",
    "1798815721747097999"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 97.59047590081808,
  "faltings_height": 5.744169037965733,
  "conductor": "93423330",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "61"
  ],
  "discriminant": "15041362555585089082281738816000000",
  "regulator": "3.600344206217148564448106507884826690339",
  "points": [
    [
      "958287",
      "10991266"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-33, q=28; A=(3q-p)(p+q)^3=-14625, B=-(p+3q)(p-q)^3=11576031. 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 19:56:07",
  "updated_at": "2026-09-26 19:56:07"
}