{
  "id": 2383,
  "curve_key": "4372519038409:-8804274451012179973",
  "ainvs": [
    "1",
    "0",
    "1",
    "-91094146634",
    "10190124875270396"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 87.3190811938623,
  "faltings_height": 5.201611971687735,
  "conductor": "125832630",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "19",
    "47",
    "61"
  ],
  "discriminant": "3520026082891749225711275176910400",
  "regulator": "5.857419335006074789283624225619176146290",
  "points": [
    [
      "-207402",
      "142095688"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-40, q=7; A=(3q-p)(p+q)^3=-2192157, B=-(p+3q)(p-q)^3=-1972637. 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 19:58:08",
  "updated_at": "2026-09-26 19:58:08"
}