{
  "id": 2370,
  "curve_key": "7364159288161:-18853654684605405841",
  "ainvs": [
    "1",
    "0",
    "0",
    "-153419985170",
    "21821346803664900"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 88.88293802916849,
  "faltings_height": 5.3524230526362695,
  "conductor": "195418230",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "19",
    "43",
    "67"
  ],
  "discriminant": "25407560191203515733703593984000000",
  "regulator": "3.535957078435470946116200558225303080538",
  "points": [
    [
      "-173060",
      "207906430"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-43, q=8; A=(3q-p)(p+q)^3=-2872625, B=-(p+3q)(p-q)^3=-2520369. 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 19:57:21",
  "updated_at": "2026-09-26 19:57:21"
}