{
  "id": 2470,
  "curve_key": "151462970569:-40356176803576453",
  "ainvs": [
    "1",
    "0",
    "1",
    "-3155478554",
    "46708275010556"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 77.23082104000275,
  "faltings_height": 4.466661916237057,
  "conductor": "23993970",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "47"
  ],
  "discriminant": "1068342456988102491347171619600",
  "regulator": "3.071025107342691890251725966033087393369",
  "points": [
    [
      "-59514",
      "4899121"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-4, q=17; A=(3q-p)(p+q)^3=120835, B=-(p+3q)(p-q)^3=435267. 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 20:03:36",
  "updated_at": "2026-09-26 20:03:36"
}