{
  "id": 2290,
  "curve_key": "90154745847049:-845799744814848449893",
  "ainvs": [
    "1",
    "0",
    "1",
    "-1878223871814",
    "978934733313344536"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 96.39764612425887,
  "faltings_height": 5.9060641405860075,
  "conductor": "74966430",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "23",
    "83"
  ],
  "discriminant": "10063417219243746988382558529456902400",
  "regulator": "3.459749333444739059439079508014633557087",
  "points": [
    [
      "-1569307",
      "249128133"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-16, q=33; A=(3q-p)(p+q)^3=564995, B=-(p+3q)(p-q)^3=9764867. 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 19:52:22",
  "updated_at": "2026-09-26 19:52:22"
}