{
  "id": 2412,
  "curve_key": "762879839673889:-21070954394965853902513",
  "ainvs": [
    "1",
    "0",
    "0",
    "-15893329993206",
    "24387677373432979620"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 102.80436495229915,
  "faltings_height": 5.949834803084938,
  "conductor": "166840770",
  "bad_primes": [
    "2",
    "3",
    "5",
    "29",
    "37",
    "71",
    "73"
  ],
  "discriminant": "47797844867062846609064812646400",
  "regulator": "6.196398433574468649318482053365806039826",
  "points": [
    [
      "2335416",
      "87672270"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-37, q=36; A=(3q-p)(p+q)^3=-145, B=-(p+3q)(p-q)^3=27620207. 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 20:00:00",
  "updated_at": "2026-09-26 20:00:00"
}