{
  "id": 2286,
  "curve_key": "110630660712289:-1087158761812624877713",
  "ainvs": [
    "1",
    "0",
    "0",
    "-2304805431506",
    "1258285411882678020"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 97.0116551646842,
  "faltings_height": 6.037198621396633,
  "conductor": "13123110",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "19",
    "23"
  ],
  "discriminant": "99600875678758534460958087078183014400",
  "regulator": "4.834209349265429143210891660190634536739",
  "points": [
    [
      "568408",
      "362842846"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-13, q=36; A=(3q-p)(p+q)^3=1472207, B=-(p+3q)(p-q)^3=11176655. 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 19:52:07",
  "updated_at": "2026-09-26 19:52:07"
}