{
  "id": 2462,
  "curve_key": "212904558441:-74385415021086261",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-4435511634",
    "86095339226388"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 78.25232945940085,
  "faltings_height": 4.5392277075483625,
  "conductor": "1711710",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "19"
  ],
  "discriminant": "2382767701220962028494521000000",
  "regulator": "2.733538634761924738739041722145091068871",
  "points": [
    [
      "-60228",
      "11638854"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-24, q=11; A=(3q-p)(p+q)^3=-125229, B=-(p+3q)(p-q)^3=385875. 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 20:03:04",
  "updated_at": "2026-09-26 20:03:04"
}