{
  "id": 2262,
  "curve_key": "314797738817961:-4547434161672587051541",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-6558286225374",
    "5263235622988902468"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 100.14885434858921,
  "faltings_height": 6.350703554308627,
  "conductor": "806318370",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "31",
    "43",
    "47"
  ],
  "discriminant": "6085965335170021953673721901705182250000",
  "regulator": "4.492565225386501815887234932263981963777",
  "points": [
    [
      "3641703/4",
      "1731298647/8"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-12, q=43; A=(3q-p)(p+q)^3=4200531, B=-(p+3q)(p-q)^3=19465875. 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 19:50:32",
  "updated_at": "2026-09-26 19:50:32"
}