{
  "id": 2348,
  "curve_key": "14356383646969:53241592704403618547",
  "ainvs": [
    "1",
    "0",
    "1",
    "-299091325979",
    "-61622238702522094"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 90.88564743799061,
  "faltings_height": 5.47265020727909,
  "conductor": "37962870",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "17",
    "67",
    "101"
  ],
  "discriminant": "71913220784603620143250892044522500",
  "regulator": "8.510386354461711824023948375179005103424",
  "points": [
    [
      "637428",
      "81686698"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-50, q=17; A=(3q-p)(p+q)^3=-3629637, B=-(p+3q)(p-q)^3=300763. 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 19:55:59",
  "updated_at": "2026-09-26 19:55:59"
}