{
  "id": 2208,
  "curve_key": "2926369861454209:-136602357033741081118273",
  "ainvs": [
    "1",
    "0",
    "0",
    "-60966038780296",
    "158104574819660056640"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 106.83761728399541,
  "faltings_height": 6.89283367153874,
  "conductor": "18928364910",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "17",
    "37",
    "73",
    "151"
  ],
  "discriminant": "3703805387486079217319327261985991301529600",
  "regulator": "3.353025275952576208652252703690320283885",
  "points": [
    [
      "5840018",
      "1110796826"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-17, q=56; A=(3q-p)(p+q)^3=10974015, B=-(p+3q)(p-q)^3=58741567. 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 19:47:10",
  "updated_at": "2026-09-26 19:47:10"
}