{
  "id": 2434,
  "curve_key": "974076227569:-953893700264666953",
  "ainvs": [
    "1",
    "0",
    "0",
    "-20293254741",
    "1104041943461025"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 82.81426619975332,
  "faltings_height": 4.755529809563648,
  "conductor": "44141370",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "19",
    "23",
    "37"
  ],
  "discriminant": "8283677876312103231343897665600",
  "regulator": "6.288888754166440564565047929309341523262",
  "points": [
    [
      "-178509/4",
      "350793543/8"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-23, q=14; A=(3q-p)(p+q)^3=-47385, B=-(p+3q)(p-q)^3=962407. 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 20:01:22",
  "updated_at": "2026-09-26 20:01:22"
}