{
  "id": 2634,
  "curve_key": "41062884719521:-263128866123869437681",
  "ainvs": [
    "1",
    "0",
    "0",
    "-855476764990",
    "304547227464748100"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    6,
    2
  ],
  "naive_height": 94.03837734375072,
  "faltings_height": 5.472283049670208,
  "conductor": "200255730",
  "bad_primes": [
    "2",
    "3",
    "5",
    "29",
    "43",
    "53",
    "101"
  ],
  "discriminant": "1049828475589738701972148224000000",
  "regulator": "29.7512881996809609315402896943575493075809",
  "points": [
    [
      "144080",
      "429207710"
    ],
    [
      "535730",
      "623960"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-29, q=24; A=(3q-p)(p+q)^3=-12625, B=-(p+3q)(p-q)^3=6401711. 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 20:14:13",
  "updated_at": "2026-09-26 20:14:13"
}