{
  "id": 2345,
  "curve_key": "74023351256089:-636832818258233910013",
  "ainvs": [
    "1",
    "0",
    "1",
    "-1542153151169",
    "737074892619452576"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 95.8062051506089,
  "faltings_height": 5.6655841778813585,
  "conductor": "1613722110",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "29",
    "109"
  ],
  "discriminant": "29917297138910932028435482124900100",
  "regulator": "3.100500369375604184590499855730574972403",
  "points": [
    [
      "-323913/4",
      "7425361529/8"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-22, q=29; A=(3q-p)(p+q)^3=37387, B=-(p+3q)(p-q)^3=8622315. 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 19:55:47",
  "updated_at": "2026-09-26 19:55:47"
}