{
  "id": 2292,
  "curve_key": "129116614557841:-1465551222829554402361",
  "ainvs": [
    "1",
    "0",
    "0",
    "-2689929469955",
    "1696239617077121025"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 97.47521130227663,
  "faltings_height": 5.899407196533562,
  "conductor": "3850056210",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "41",
    "53",
    "59"
  ],
  "discriminant": "2705802207959509929427123527561000000",
  "regulator": "4.524522635393163085618970838097464351726",
  "points": [
    [
      "3890575/4",
      "54150785/8"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-59, q=6; A=(3q-p)(p+q)^3=-11463529, B=-(p+3q)(p-q)^3=-11259625. 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 19:52:29",
  "updated_at": "2026-09-26 19:52:29"
}