{
  "id": 2376,
  "curve_key": "7035954821329:-18553936186885070233",
  "ainvs": [
    "1",
    "0",
    "0",
    "-146582392111",
    "21474450964065785"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 88.74616356513015,
  "faltings_height": 5.237873567908601,
  "conductor": "37332570",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "29",
    "47",
    "83"
  ],
  "discriminant": "2351854700022095951241299316840000",
  "regulator": "7.527902610863335497474283380032421104010",
  "points": [
    [
      "338498",
      "102991001"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-29, q=18; A=(3q-p)(p+q)^3=-110473, B=-(p+3q)(p-q)^3=2595575. 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 19:57:43",
  "updated_at": "2026-09-26 19:57:43"
}