{
  "id": 2498,
  "curve_key": "14999985841:1073105973215639",
  "ainvs": [
    "1",
    "0",
    "0",
    "-312499705",
    "-1242046843975"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 70.29394528234452,
  "faltings_height": 3.901125449984761,
  "conductor": "4812990",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "41",
    "43"
  ],
  "discriminant": "1286709498225079715241000000",
  "regulator": "4.424104374629799840224756964434251581220",
  "points": [
    [
      "-4300",
      "151145"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-1, q=14; A=(3q-p)(p+q)^3=94471, B=-(p+3q)(p-q)^3=138375. 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 20:05:20",
  "updated_at": "2026-09-26 20:05:20"
}