{
  "id": 2596,
  "curve_key": "877487842479361:25206200467928658783359",
  "ainvs": [
    "1",
    "0",
    "0",
    "-18280996718320",
    "-29173844657593081600"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    6,
    2
  ],
  "naive_height": 103.22425264934465,
  "faltings_height": 6.517433835142274,
  "conductor": "95285190",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "19",
    "167"
  ],
  "discriminant": "23321677450265704633176233571815424000000",
  "regulator": "5.94930849278321093669791170938653611503356",
  "points": [
    [
      "-2809660",
      "99152480"
    ],
    [
      "-2763328",
      "493139216"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-1, q=56; A=(3q-p)(p+q)^3=28117375, B=-(p+3q)(p-q)^3=30927231. 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 20:11:41",
  "updated_at": "2026-09-26 20:11:41"
}