{
  "id": 2621,
  "curve_key": "1435661169201121:-54397371219983768224081",
  "ainvs": [
    "1",
    "0",
    "0",
    "-29909607691690",
    "62959917901032424100"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    6,
    2
  ],
  "naive_height": 104.7012056492992,
  "faltings_height": 6.222551460529905,
  "conductor": "1113759570",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "37",
    "83",
    "157"
  ],
  "discriminant": "144674091896571358535440502784000000",
  "regulator": "14.5964505019525371634419175649031769577419",
  "points": [
    [
      "3152270",
      "14463770"
    ],
    [
      "3156596",
      "713222"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-37, q=40; A=(3q-p)(p+q)^3=4239, B=-(p+3q)(p-q)^3=37892239. 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 20:13:16",
  "updated_at": "2026-09-26 20:13:16"
}