{
  "id": 2304,
  "curve_key": "58506455252169:53217865198107681147",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-1218884484420",
    "-61594446665577600"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 95.10047463080876,
  "faltings_height": 5.992415271068555,
  "conductor": "187435710",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "37",
    "43"
  ],
  "discriminant": "114256808794771615418008140898500272400",
  "regulator": "4.648713568598693447127732036376369334248",
  "points": [
    [
      "-93408",
      "226859664"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-60, q=17; A=(3q-p)(p+q)^3=-8825277, B=-(p+3q)(p-q)^3=-4108797. 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 19:53:15",
  "updated_at": "2026-09-26 19:53:15"
}