{
  "id": 2316,
  "curve_key": "35714072117161:-179758603379137304341",
  "ainvs": [
    "1",
    "0",
    "1",
    "-744043169108",
    "208053877092626306"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 93.61969771199432,
  "faltings_height": 5.79840711396663,
  "conductor": "1404172770",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "19",
    "23",
    "107"
  ],
  "discriminant": "7662015648259349573408668167962250000",
  "regulator": "2.739035759991168734734129189109324039213",
  "points": [
    [
      "313701",
      "74123719"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-44, q=21; A=(3q-p)(p+q)^3=-1301869, B=-(p+3q)(p-q)^3=5217875. 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 19:53:56",
  "updated_at": "2026-09-26 19:53:56"
}