{
  "id": 2372,
  "curve_key": "6158370908449:-6067006508889394993",
  "ainvs": [
    "1",
    "0",
    "0",
    "-128299393926",
    "7021987582561380"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 88.3465001867501,
  "faltings_height": 5.42009980539623,
  "conductor": "373557030",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "23",
    "79",
    "89"
  ],
  "discriminant": "113860489868342159435706310742937600",
  "regulator": "4.232938934346843054712193851914471842980",
  "points": [
    [
      "-379236",
      "33895290"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-5, q=28; A=(3q-p)(p+q)^3=1082863, B=-(p+3q)(p-q)^3=2839023. 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 19:57:28",
  "updated_at": "2026-09-26 19:57:28"
}