{
  "id": 2435,
  "curve_key": "956373849601:-864273082243334401",
  "ainvs": [
    "1",
    "0",
    "0",
    "-19924455200",
    "1000314407040000"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 82.75924418886993,
  "faltings_height": 4.856658257153752,
  "conductor": "9694230",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "53",
    "67"
  ],
  "discriminant": "73946921313925341254454336000000",
  "regulator": "3.729536634292410334353608513343193542105",
  "points": [
    [
      "50206",
      "11223862"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-7, q=20; A=(3q-p)(p+q)^3=147199, B=-(p+3q)(p-q)^3=1043199. 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 20:01:26",
  "updated_at": "2026-09-26 20:01:26"
}