{
  "id": 2283,
  "curve_key": "120619020277561:-1278326004015673832941",
  "ainvs": [
    "1",
    "0",
    "1",
    "-2512896255783",
    "1479543776721230806"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 97.27097430459125,
  "faltings_height": 6.0282245521735165,
  "conductor": "109394670",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "23",
    "29",
    "71"
  ],
  "discriminant": "69885698868851003385720227938476562500",
  "regulator": "4.877789018871806746599823616624071036304",
  "points": [
    [
      "726467",
      "193037358"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-46, q=25; A=(3q-p)(p+q)^3=-1120581, B=-(p+3q)(p-q)^3=10379419. 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 19:51:56",
  "updated_at": "2026-09-26 19:51:56"
}