{
  "id": 2332,
  "curve_key": "23507629672321:-99827073056929538881",
  "ainvs": [
    "1",
    "0",
    "0",
    "-489742284840",
    "115540553004033600"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 92.36503845387912,
  "faltings_height": 5.681788035800507,
  "conductor": "1007877990",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "19",
    "41",
    "61",
    "101"
  ],
  "discriminant": "1750622134772764855702461178944000000",
  "regulator": "5.358178122997071390059454623095015945264",
  "points": [
    [
      "550770",
      "113214810"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-41, q=20; A=(3q-p)(p+q)^3=-935361, B=-(p+3q)(p-q)^3=4312639. 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 19:54:59",
  "updated_at": "2026-09-26 19:54:59"
}