{
  "id": 2347,
  "curve_key": "175829190397081:-2331495371193700921021",
  "ainvs": [
    "1",
    "0",
    "1",
    "-3663108133273",
    "2698489707696661256"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 98.40160239183095,
  "faltings_height": 5.806415928376129,
  "conductor": "60357990",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "29",
    "53"
  ],
  "discriminant": "27626866180436170623424233578062500",
  "regulator": "5.315927427484035573239473147686440857608",
  "points": [
    [
      "-2109930",
      "1018107802"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-34, q=29; A=(3q-p)(p+q)^3=-15125, B=-(p+3q)(p-q)^3=13252491. 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 19:55:55",
  "updated_at": "2026-09-26 19:55:55"
}