{
  "id": 2516,
  "curve_key": "10615037049:-1093631015209293",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-221146605",
    "1265831924625"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 69.25661226703556,
  "faltings_height": 3.426952411844557,
  "conductor": "203490",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "19"
  ],
  "discriminant": "36507429211007057732100",
  "regulator": "6.805983583236800196099032688302329452879",
  "points": [
    [
      "31365",
      "5002740"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-18, q=1; A=(3q-p)(p+q)^3=-103173, B=-(p+3q)(p-q)^3=-102885. 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 20:06:27",
  "updated_at": "2026-09-26 20:06:27"
}