{
  "id": 2486,
  "curve_key": "5914816134241:-14385066428176338961",
  "ainvs": [
    "1",
    "0",
    "0",
    "-123225336130",
    "16649372171240900"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 88.22544458464976,
  "faltings_height": 4.80002048083431,
  "conductor": "24000990",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "19",
    "41",
    "79"
  ],
  "discriminant": "852897249909583055424000000",
  "regulator": "6.773943135191765982866121121412799884973",
  "points": [
    [
      "244910",
      "33939170"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-19, q=20; A=(3q-p)(p+q)^3=79, B=-(p+3q)(p-q)^3=2432079. 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 20:04:35",
  "updated_at": "2026-09-26 20:04:35"
}